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Author ID: koolen.jack-h Recent zbMATH articles by "Koolen, Jack H."
Published as: Koolen, Jack H.; Koolen, J. H.; Koolen, Jack; Koolen, Jacobus; Koolen, Jacobus H.; Koolen, J.; Koolen, Jacobus Hendricus
Homepage: http://staff.ustc.edu.cn/~koolen/
External Links: MGP · ORCID · ResearchGate · dblp
all top 5

Co-Authors

8 single-authored
39 Moulton, Vincent L.
17 Bang, Sejeong
16 Huber, Katharina T.
16 Park, Jongyook
15 Dress, Andreas W. M.
12 Van Dam, Edwin Robert
11 Cioabă, Sebastian M.
11 Jurišić, Aleksandar
10 Hiraki, Akira
9 Qiao, Zhi
8 Yang, Qianqian
7 Brouwer, Andries Evert
7 Greaves, Gary
5 Gavrilyuk, Alexander L.
5 Markowsky, Greg T.
5 Munemasa, Akihiro
5 Yang, Jaeyoung
4 Cao, Mengyue
4 Haemers, Willem H.
4 Hayat, Sakander
4 Iqbal, Quaid
4 Lesser, Alice
4 Rehman, Masood Ur
4 Spillner, Andreas
3 Cheng, Ximing
3 Ghorbani, Ebrahim
3 Lee, Woo-Sun
3 Martin, William J.
3 Wu, Taoyang
2 Akbari, Saieed
2 Fujisaki, Tatsuya
2 Gebremichel, Brhane
2 Godsil, Christopher David
2 Grünewald, Stefan
2 Lee, Jaeho
2 Li, Weiqiang
2 Liang, Xiaoye
2 Nozaki, Hiroshi
2 Oboudi, Mohammad Reza
2 Sano, Yoshio
2 Tan, Yingying
2 Tanaka, Hajime
2 Taniguchi, Tetsuji
2 Terwilliger, Paul M.
2 Tönges, Udo
2 Xia, Zhengjiang
2 Yu, Hyonju
1 Abiad, Aida
1 Alon, Noga M.
1 Bandelt, Hans-Jürgen
1 Belardo, Francesco
1 Blokhuis, Aart
1 Brinkmann, Gunnar
1 Cámara, Marc
1 Chen, Yuelan
1 Chepoi, Victor D.
1 Choe, Young-Bin
1 Chung, Taeyoung
1 Coolsaet, Kris
1 Cushing, David
1 Dalfó, Cristina
1 Du, Shaofei
1 Dubickas, Artūras
1 Fiol, Miquel Angel
1 Gilbert, Brandon D.
1 Guo, Ivan
1 Herrmann, Sven
1 Hirasaka, Mitsugu
1 Huber Katharina T.
1 Jing, Yifan
1 Kamtue, Supanat
1 Kim, Hyunkwang
1 Kim, Joohyung
1 Kim, Kijung
1 Klavžar, Sandi
1 Klin, Mikhail H.
1 Klucznik, Michael
1 Kwak, Jin Ho
1 Laurent, Monique
1 Li, Yanran
1 Lin, Yen-chi Roger
1 Liu, Fenjin
1 Liu, Shiping
1 Ma, Jianmin
1 McKay, Brendan D.
1 Miklavič, Štefko
1 Mulder, Henry Martyn
1 Münch, Florentin
1 Nakamoto, Atsuhiro
1 Ota, Katsuhiro
1 Peyerimhoff, Norbert
1 Riebeek, R. J.
1 Saito, Akira
1 Schrijver, Alexander
1 Shpectorov, Sergey Viktorovich
1 Song, Sung-Yell
1 Spence, Edward
1 Stevanović, Dragan
1 Szöllősi, Ferenc
1 Tagami, Makoto
...and 10 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

154 Publications have been cited 1,282 times in 760 Documents Cited by Year
Maximal energy graphs. Zbl 0976.05040
Koolen, Jack H.; Moulton, Vincent
91
2001
Distance-regular graphs. Zbl 1335.05062
van Dam, Edwin R.; Koolen, Jack H.; Tanaka, Hajime
76
2016
On the hyperbolicity of chordal graphs. Zbl 0985.05021
Brinkmann, Gunnar; Koolen, Jack H.; Moulton, V.
46
2001
Tight distance-regular graphs. Zbl 0959.05121
Jurišić, Aleksandar; Koolen, Jack; Terwilliger, Paul
42
2000
Basic phylogenetic combinatorics. Zbl 1298.92008
Dress, Andreas; Huber Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
37
2012
Shilla distance-regular graphs. Zbl 1221.05117
Koolen, Jack H.; Park, Jongyook
35
2010
Equiangular lines in Euclidean spaces. Zbl 1330.51006
Greaves, Gary; Koolen, Jacobus H.; Munemasa, Akihiro; Szöllősi, Ferenc
35
2016
Hyperbolic bridged graphs. Zbl 1027.05035
Koolen, Jack H.; Moulton, Vincent
33
2002
A new family of distance-regular graphs with unbounded diameter. Zbl 1074.05092
van Dam, E. R.; Koolen, J. H.
33
2005
Maximal energy bipartite graphs. Zbl 1015.05043
Koolen, Jack H.; Moulton, Vincent
32
2003
Characterizing distance-regularity of graphs by the spectrum. Zbl 1105.05076
van Dam, E. R.; Haemers, W. H.; Koolen, J. H.; Spence, E.
24
2006
The distance-regular graphs of valency four. Zbl 0929.05093
Brouwer, A. E.; Koolen, J. H.
20
1999
Width and dual width of subsets in polynomial association schemes. Zbl 1018.05108
Brouwer, A. E.; Godsil, C. D.; Koolen, J. H.; Martin, W. J.
20
2003
The vertex-connectivity of a distance-regular graph. Zbl 1175.05072
Brouwer, Andries E.; Koolen, Jack H.
18
2009
Krein parameters and antipodal tight graphs with diameter 3 and 4. Zbl 1024.05086
Jurišić, Aleksandar; Koolen, Jack
18
2002
On distance-regular graphs with smallest eigenvalue at least \(- m\). Zbl 1203.05043
Koolen, J. H.; Bang, S.
18
2010
A local approach to 1-homogeneous graphs. Zbl 0964.05073
Jurišić, Aleksandar; Koolen, Jack
18
2000
There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044
Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V.
17
2015
Distance-regular graphs with or at least half the valency. Zbl 1235.05043
Koolen, Jack H.; Park, Jongyook
17
2012
On line arrangements in the hyperbolic plane. Zbl 1023.52007
Dress, A.; Koolen, J. H.; Moulton, V.
16
2003
Combinatorics of lopsided sets. Zbl 1087.05059
Bandelt, Hans-Jürgen; Chepoi, Victor; Dress, Andreas; Koolen, Jack
16
2006
Delsarte clique graphs. Zbl 1109.05108
Bang, S.; Hiraki, A.; Koolen, J. H.
16
2007
Cospectral graphs and the generalized adjacency matrix. Zbl 1118.05066
van Dam, E. R.; Haemers, W. H.; Koolen, J. H.
15
2007
Biregular graphs with three eigenvalues. Zbl 1335.05107
Cheng, Xi-Ming; Gavrilyuk, Alexander L.; Greaves, Gary R. W.; Koolen, Jack H.
14
2016
Edge-signed graphs with smallest eigenvalue greater than \(-2\). Zbl 1302.05074
Greaves, Gary; Koolen, Jack; Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji
13
2015
1-homogeneous graphs with cocktail party \({\mu}\)-graphs. Zbl 1038.05059
Jurišić, Aleksandar; Koolen, Jack
13
2003
\(\Delta\) additive and \(\Delta\) ultra-additive maps, Gromov’s trees, and the Farris transform. Zbl 1056.92042
Dress, A.; Holland, B.; Huber, K. T.; Koolen, J. H.; Moulton, V.; Weyer-Menkhoff, J.
13
2005
Nonexistence of some antipodal distance-regular graphs of diameter four. Zbl 0958.05139
Jurišić, Aleksandar; Koolen, Jack
13
2000
The spectra of the local graphs of the twisted Grassmann graphs. Zbl 1172.05333
Bang, Sejeong; Fujisaki, Tatsuya; Koolen, J. H.
12
2009
An inequality involving the second largest and smallest eigenvalue of a distance-regular graph. Zbl 1226.05159
Koolen, Jack H.; Park, Jongyook; Yu, Hyonju
12
2011
Graphs with three eigenvalues and second largest eigenvalue at most 1. Zbl 1379.05072
Cheng, Xi-Ming; Greaves, Gary R. W.; Koolen, Jack H.
11
2018
Spectral characterization of the Hamming graphs. Zbl 1152.05041
Bang, Sejeong; van Dam, Edwin R.; Koolen, Jack H.
11
2008
Asymptotic results on the spectral radius and the diameter of graphs. Zbl 1209.05140
Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho
11
2010
Some properties of the twisted Grassmann graphs. Zbl 1111.05099
Fujisaki, Tatsuya; Koolen, Jack H.; Tagami, Makoto
10
2006
Open problems in the spectral theory of signed graphs. Zbl 1421.05052
Belardo, Francesco; Cioabă, Sebastian M.; Koolen, Jack; Wang, Jianfeng
9
2018
Disconnecting strongly regular graphs. Zbl 1282.05216
Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang
9
2014
Compatible decompositions and block realizations of finite metrics. Zbl 1179.05029
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
9
2008
Distance-regular graphs the distance matrix of which has only one positive eigenvalue. Zbl 0796.05070
Koolen, J. H.; Shpectorov, S. V.
9
1994
A root graph that is locally the line graph of the Petersen graph. Zbl 1023.05135
Brouwer, A. E.; Koolen, J. H.; Klin, M. H.
8
2003
\(4n-10\). Zbl 1058.05063
Dress, Andreas W. M.; Koolen, Jack; Moulton, Vincent
8
2004
Geometric aspects of 2-walk-regular graphs. Zbl 1282.05215
Cámara, Marc; van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook
8
2013
Equilateral dimension of the rectilinear space. Zbl 0970.51016
Koolen, Jack; Laurent, Monique; Schrijver, Alexander
8
2000
Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs. Zbl 1238.05220
Jurišić, Aleksandar; Koolen, Jack
8
2011
On a conjecture of Brouwer involving the connectivity of strongly regular graphs. Zbl 1241.05149
Cioabă, Sebastian M.; Kim, Kijung; Koolen, Jack H.
7
2012
There are finitely many triangle-free distance-regular graphs with degree 8, 9 or 10. Zbl 1047.05043
Koolen, J. H.; Moulton, V.
7
2004
On electric resistances for distance-regular graphs. Zbl 1259.05193
Koolen, Jack H.; Markowsky, Greg; Park, Jongyook
7
2013
Optimal realizations of generic five-point metrics. Zbl 1184.05111
Koolen, Jack; Lesser, Alice; Moulton, Vincent
7
2009
Delsarte set graphs with small \(c_{2}\). Zbl 1221.05103
Bang, S.; Hiraki, A.; Koolen, J. H.
7
2010
An algorithm for computing virtual cut points in finite metric spaces. Zbl 1175.05049
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
7
2007
On subgraphs in distance-regular graphs. Zbl 0786.05032
Koolen, J. H.
7
1992
Graphs with many valencies and few eigenvalues. Zbl 1320.05082
van Dam, Edwin R.; Koolen, Jack H.; Xia, Zheng-Jiang
7
2015
An algorithm for computing cutpoints in finite metric spaces. Zbl 1337.54016
Dress, Andreas; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
7
2010
On the connectedness of the complement of a ball in distance-regular graphs. Zbl 1269.05118
Cioabă, Sebastian M.; Koolen, Jack H.
7
2013
Triangle- and pentagon-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1070.05084
Jurišić, Aleksandar; Koolen, Jack; Miklavič, Štefko
6
2005
On the structure of the tight-span of a totally split-decomposable metric. Zbl 1094.54012
Huber, K. T.; Koolen, J. H.; Moulton, V.
6
2006
The distance-regular graphs such that all of its second largest local eigenvalues are at most one. Zbl 1222.05163
Koolen, Jack H.; Yu, Hyonju
6
2011
A relation between the Laplacian and signless Laplacian eigenvalues of a graph. Zbl 1230.05196
Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jack H.; Oboudi, Mohammad Reza
6
2010
\(2kn-\binom{2k+1}{2}\). A note on extremal combinatorics of cyclic split systems. Zbl 0989.05123
Dress, A.; Klucznik, M.; Koolen, J.; Moulton, V.
6
2001
On uniformly geodetic graphs. Zbl 0787.05061
Koolen, J. H.
6
1993
Characterizing completely regular codes from an algebraic viewpoint. Zbl 1231.05300
Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J.
6
2010
Hypercubes are determined by their distance spectra. Zbl 1338.05067
Koolen, Jack H.; Hayat, Sakander; Iqbal, Quaid
6
2016
A spectral characterization of the \(s\)-clique extension of the square grid graphs. Zbl 1402.05166
Hayat, Sakander; Koolen, Jack H.; Riaz, Muhammad
6
2019
A note on graphs with exactly two main eigenvalues. Zbl 1347.05115
Hayat, Sakander; Koolen, Jack H.; Liu, Fenjin; Qiao, Zhi
6
2016
2-walk-regular dihedrants from group-divisible designs. Zbl 1339.05098
Qiao, Zhi; Du, Shao Fei; Koolen, Jack H.
6
2016
A characterization of the graphs of bilinear \((d\times d)\)-forms over \(\mathbb{F}_2\). Zbl 1438.05241
Gavrilyuk, Alexander L.; Koolen, Jack H.
5
2019
On graphs with smallest eigenvalue at least \(-3\) and their lattices. Zbl 1396.05071
Koolen, Jack H.; Yang, Jae Young; Yang, Qianqian
5
2018
The Terwilliger polynomial of a \(Q\)-polynomial distance-regular graph and its application to pseudo-partition graphs. Zbl 1303.05214
Gavrilyuk, Alexander L.; Koolen, Jack H.
5
2015
A valency bound for distance-regular graphs. Zbl 1377.05052
Qiao, Zhi; Koolen, Jack
5
2018
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1182.05133
Coolsaet, Kris; Jurišić, Aleksandar; Koolen, Jack
5
2008
Cut points in metric spaces. Zbl 1142.54007
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
5
2008
A Higman-Haemers inequality for thick regular near polygons. Zbl 1068.05071
Hiraki, Akira; Koolen, Jack
5
2004
On a conjecture of Bannai and Ito: There are finitely many distance-regular graphs with degree 5, 6 or 7. Zbl 1012.05160
Koolen, J. H.; Moulton, V.
5
2002
An improvement of the Godsil bound. Zbl 1009.05138
Hiraki, Akira; Koolen, Jack
5
2002
On geometric distance-regular graphs with diameter three. Zbl 1284.05077
Bang, Sejeong; Koolen, J. H.
5
2014
A note on distance-regular graphs with a small number of vertices compared to the valency. Zbl 1285.05045
Koolen, Jack H.; Park, Jongyook
5
2013
Tight 2-designs and perfect 1-codes in Doob graphs. Zbl 0974.05011
Koolen, J. H.; Munemasa, A.
5
2000
A lower bound for the spectral radius of graphs with fixed diameter. Zbl 1217.05139
Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho
5
2010
On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs. Zbl 1218.05086
Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jacobus H.; Oboudi, Mohammad Reza
5
2010
A structure theory for graphs with fixed smallest eigenvalue. Zbl 1336.05089
Kim, Hyun Kwang; Koolen, Jack H.; Yang, Jae Young
5
2016
Some results on the eigenvalues of distance-regular graphs. Zbl 1327.05198
Bang, Sejeong; Koolen, Jack H.; Park, Jongyook
5
2015
Regular graphs with maximal energy per vertex. Zbl 1298.05217
van Dam, Edwin R.; Haemers, Willem H.; Koolen, Jack H.
5
2014
Max-cut and extendability of matchings in distance-regular graphs. Zbl 1358.05083
Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang
5
2017
Distance-regular graphs of diameter 3 having eigenvalue \(-1\). Zbl 1370.05130
Bang, Sejeong; Koolen, Jack
5
2017
The distance-regular graphs with intersection number \(a_1\neq 0\) and with an eigenvalue \(-1-(b_1/2)\). Zbl 0910.05041
Koolen, J. H.
4
1998
A relationship between the diameter and the intersection number \(c _{2}\) for a distance-regular graph. Zbl 1245.05037
Koolen, Jack H.; Park, Jongyook
4
2012
The tight span of an antipodal metric space. II: Geometrical properties. Zbl 1081.52015
Huber, Katharina T.; Koolen, Jacobus H.; Moulton, Vincent
4
2004
An improvement of the Ivanov bound. Zbl 0929.05092
Hiraki, Akira; Koolen, Jack
4
1998
Graphs cospectral with \(H(3,q)\) which are disjoint unions of at most three complete graphs. Zbl 1163.05041
Bang, S.; Koolen, J. H.
4
2008
Arithmetic completely regular codes. Zbl 1336.05135
Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J.; Tanaka, Hajime
4
2016
A collection of results concerning electric resistance and simple random walk on distance-regular graphs. Zbl 1327.05308
Koolen, Jack H.; Markowsky, Greg
4
2016
Two theorems concerning the Bannai-Ito conjecture. Zbl 1121.05126
Bang, S.; Koolen, J. H.; Moulton, V.
4
2007
Maximizing the order of a regular graph of given valency and second eigenvalue. Zbl 1344.05086
Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi; Vermette, Jason R.
4
2016
Edge-regular graphs with regular cliques. Zbl 1387.05272
Greaves, Gary R. W.; Koolen, Jack H.
3
2018
Blocks and cut vertices of the Buneman graph. Zbl 1237.05043
Dress, A. W. M.; Huber, K. T.; Koolen, J.; Moulton, V.
3
2011
The tight span of an antipodal metric space. I: combinatorial properties. Zbl 1082.54017
Huber, K. T.; Koolen, J. H.; Moulton, V.
3
2005
A generalization of an inequality of Brouwer–Wilbrink. Zbl 1113.52006
Hiraki, Akira; Koolen, Jack
3
2005
The non-bipartite integral graphs with spectral radius three. Zbl 1222.05151
Chung, Taeyoung; Koolen, Jack; Sano, Yoshio; Taniguchi, Tetsuji
3
2011
Six points suffice: How to check for metric consistency. Zbl 0985.05016
Dress, A.; Huber, K. T.; Koolen, J. H.; Moulton, V.
3
2001
Improving diameter bounds for distance-regular graphs. Zbl 1078.05089
Bang, S.; Hiraki, A.; Koolen, J. H.
3
2006
A new condition for distance-regular graphs. Zbl 0762.05044
Koolen, J. H.
3
1992
Addressing Johnson graphs, complete multipartite graphs, odd cycles, and random graphs. Zbl 1477.05057
Alon, Noga; Cioabă, Sebastian M.; Gilbert, Brandon D.; Koolen, Jack H.; McKay, Brendan D.
1
2021
On the order of regular graphs with fixed second largest eigenvalue. Zbl 1458.05160
Yang, Jae Young; Koolen, Jack H.
1
2021
Augmenting the Delsarte bound: a forbidden interval for the order of maximal cliques in strongly regular graphs. Zbl 1473.05323
Greaves, Gary R. W.; Koolen, Jack H.; Park, Jongyook
1
2021
On some recent progress in the classification of (\(P\) and \(Q\))-polynomial association schemes. Zbl 1462.05361
Gavrilyuk, Alexander L.; Koolen, Jack H.
1
2021
Maximality of Seidel matrices and switching roots of graphs. Zbl 1479.05194
Cao, Meng-Yue; Koolen, Jack H.; Munemasa, Akihiro; Yoshino, Kiyoto
1
2021
Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature. Zbl 1440.05069
Cushing, D.; Kamtue, S.; Koolen, J.; Liu, S.; Münch, F.; Peyerimhoff, N.
3
2020
A spectral characterization of the \(s\)-clique extension of the triangular graphs. Zbl 1433.05212
Tan, Ying-Ying; Koolen, Jack H.; Xia, Zheng-Jiang
2
2020
Problems on graphs with fixed smallest eigenvalue. Zbl 1434.05093
Koolen, Jack; Yang, Qianqian
1
2020
On the Cheeger constant for distance-regular graphs. Zbl 1435.05134
Qiao, Zhi; Koolen, Jack H.; Markowsky, Greg
1
2020
A spectral characterization of the \(s\)-clique extension of the square grid graphs. Zbl 1402.05166
Hayat, Sakander; Koolen, Jack H.; Riaz, Muhammad
6
2019
A characterization of the graphs of bilinear \((d\times d)\)-forms over \(\mathbb{F}_2\). Zbl 1438.05241
Gavrilyuk, Alexander L.; Koolen, Jack H.
5
2019
A generalization of a theorem of Hoffman. Zbl 1404.05111
Koolen, Jack H.; Yang, Qianqian; Yang, Jae Young
3
2019
Non-bipartite distance-regular graphs with a small smallest eigenvalue. Zbl 1416.05096
Qiao, Zhi; Jing, Yifan; Koolen, Jack
2
2019
A spectral version of the Moore problem for bipartite regular graphs. Zbl 1428.05187
Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi
1
2019
On the integrability of strongly regular graphs. Zbl 1431.05152
Koolen, Jack H.; Rehman, Masood Ur; Yang, Qianqian
1
2019
There does not exist a distance-regular graph with intersection array \(\{80, 54,12; 1, 6, 60\}\). Zbl 1439.05069
Koolen, Jack H.; Iqbal, Quaid; Park, Jongyook; Rehman, Masood Ur
1
2019
The polytopal structure of the tight-span of a totally split-decomposable metric. Zbl 1403.05038
Huber, K. T.; Koolen, J.; Moulton, V.
1
2019
The spectral excess theorem for graphs with few eigenvalues whose distance-2 or distance-1-or-2 graph is strongly regular. Zbl 1425.05091
Dalfó, Cristina; Fiol, M. A.; Koolen, J.
1
2019
Graphs with three eigenvalues and second largest eigenvalue at most 1. Zbl 1379.05072
Cheng, Xi-Ming; Greaves, Gary R. W.; Koolen, Jack H.
11
2018
Open problems in the spectral theory of signed graphs. Zbl 1421.05052
Belardo, Francesco; Cioabă, Sebastian M.; Koolen, Jack; Wang, Jianfeng
9
2018
On graphs with smallest eigenvalue at least \(-3\) and their lattices. Zbl 1396.05071
Koolen, Jack H.; Yang, Jae Young; Yang, Qianqian
5
2018
A valency bound for distance-regular graphs. Zbl 1377.05052
Qiao, Zhi; Koolen, Jack
5
2018
Edge-regular graphs with regular cliques. Zbl 1387.05272
Greaves, Gary R. W.; Koolen, Jack H.
3
2018
Partially metric association schemes with a multiplicity three. Zbl 1384.05185
van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook
2
2018
On fat Hoffman graphs with smallest eigenvalue at least \(-3\). II. Zbl 1385.05049
Koolen, Jack H.; Li, Yan-Ran; Yang, Qianqian
1
2018
Max-cut and extendability of matchings in distance-regular graphs. Zbl 1358.05083
Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang
5
2017
Distance-regular graphs of diameter 3 having eigenvalue \(-1\). Zbl 1370.05130
Bang, Sejeong; Koolen, Jack
5
2017
An application of Hoffman graphs for spectral characterizations of graphs. Zbl 1355.05163
Yang, Qianqian; Abiad, Aida; Koolen, Jack H.
3
2017
Light tails and the Hermitian dual polar graphs. Zbl 1367.05173
Koolen, Jack; Qiao, Zhi
2
2017
The integrally representable trees of norm \(3\). Zbl 1378.05139
Koolen, Jack H.; Rehman, Masood Ur; Yang, Qianqian
1
2017
A generalization of a theorem of Neumaier. Zbl 1367.05213
Cheng, Xi-Ming; Koolen, Jack H.
1
2017
Distance-regular graphs. Zbl 1335.05062
van Dam, Edwin R.; Koolen, Jack H.; Tanaka, Hajime
76
2016
Equiangular lines in Euclidean spaces. Zbl 1330.51006
Greaves, Gary; Koolen, Jacobus H.; Munemasa, Akihiro; Szöllősi, Ferenc
35
2016
Biregular graphs with three eigenvalues. Zbl 1335.05107
Cheng, Xi-Ming; Gavrilyuk, Alexander L.; Greaves, Gary R. W.; Koolen, Jack H.
14
2016
Hypercubes are determined by their distance spectra. Zbl 1338.05067
Koolen, Jack H.; Hayat, Sakander; Iqbal, Quaid
6
2016
A note on graphs with exactly two main eigenvalues. Zbl 1347.05115
Hayat, Sakander; Koolen, Jack H.; Liu, Fenjin; Qiao, Zhi
6
2016
2-walk-regular dihedrants from group-divisible designs. Zbl 1339.05098
Qiao, Zhi; Du, Shao Fei; Koolen, Jack H.
6
2016
A structure theory for graphs with fixed smallest eigenvalue. Zbl 1336.05089
Kim, Hyun Kwang; Koolen, Jack H.; Yang, Jae Young
5
2016
Arithmetic completely regular codes. Zbl 1336.05135
Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J.; Tanaka, Hajime
4
2016
A collection of results concerning electric resistance and simple random walk on distance-regular graphs. Zbl 1327.05308
Koolen, Jack H.; Markowsky, Greg
4
2016
Maximizing the order of a regular graph of given valency and second eigenvalue. Zbl 1344.05086
Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi; Vermette, Jason R.
4
2016
2-walk-regular graphs with a small number of vertices compared to the valency. Zbl 1352.05063
Qiao, Zhi; Koolen, Jack H.; Park, Jongyook
3
2016
Characterizing block graphs in terms of their vertex-induced partitions. Zbl 1375.05055
Dress, Andreas; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
1
2016
There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044
Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V.
17
2015
Edge-signed graphs with smallest eigenvalue greater than \(-2\). Zbl 1302.05074
Greaves, Gary; Koolen, Jack; Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji
13
2015
Graphs with many valencies and few eigenvalues. Zbl 1320.05082
van Dam, Edwin R.; Koolen, Jack H.; Xia, Zheng-Jiang
7
2015
The Terwilliger polynomial of a \(Q\)-polynomial distance-regular graph and its application to pseudo-partition graphs. Zbl 1303.05214
Gavrilyuk, Alexander L.; Koolen, Jack H.
5
2015
Some results on the eigenvalues of distance-regular graphs. Zbl 1327.05198
Bang, Sejeong; Koolen, Jack H.; Park, Jongyook
5
2015
Optimal realizations of two-dimensional, totally-decomposable metrics. Zbl 1310.05111
Herrmann, Sven; Koolen, Jack H.; Lesser, Alice; Moulton, Vincent; Wu, Taoyang
1
2015
Disconnecting strongly regular graphs. Zbl 1282.05216
Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang
9
2014
On geometric distance-regular graphs with diameter three. Zbl 1284.05077
Bang, Sejeong; Koolen, J. H.
5
2014
Regular graphs with maximal energy per vertex. Zbl 1298.05217
van Dam, Edwin R.; Haemers, Willem H.; Koolen, Jack H.
5
2014
Geometric aspects of 2-walk-regular graphs. Zbl 1282.05215
Cámara, Marc; van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook
8
2013
On electric resistances for distance-regular graphs. Zbl 1259.05193
Koolen, Jack H.; Markowsky, Greg; Park, Jongyook
7
2013
On the connectedness of the complement of a ball in distance-regular graphs. Zbl 1269.05118
Cioabă, Sebastian M.; Koolen, Jack H.
7
2013
A note on distance-regular graphs with a small number of vertices compared to the valency. Zbl 1285.05045
Koolen, Jack H.; Park, Jongyook
5
2013
Distance-regular graphs with a relatively small eigenvalue multiplicity. Zbl 1267.05298
Koolen, Jack H.; Kim, Joohyung; Park, Jongyook
1
2013
Basic phylogenetic combinatorics. Zbl 1298.92008
Dress, Andreas; Huber Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
37
2012
Distance-regular graphs with or at least half the valency. Zbl 1235.05043
Koolen, Jack H.; Park, Jongyook
17
2012
On a conjecture of Brouwer involving the connectivity of strongly regular graphs. Zbl 1241.05149
Cioabă, Sebastian M.; Kim, Kijung; Koolen, Jack H.
7
2012
A relationship between the diameter and the intersection number \(c _{2}\) for a distance-regular graph. Zbl 1245.05037
Koolen, Jack H.; Park, Jongyook
4
2012
Injective optimal realizations of finite metric spaces. Zbl 1242.05114
Koolen, Jack H.; Lesser, Alice; Moulton, Vincent; Wu, Taoyang
1
2012
An inequality involving the second largest and smallest eigenvalue of a distance-regular graph. Zbl 1226.05159
Koolen, Jack H.; Park, Jongyook; Yu, Hyonju
12
2011
Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs. Zbl 1238.05220
Jurišić, Aleksandar; Koolen, Jack
8
2011
The distance-regular graphs such that all of its second largest local eigenvalues are at most one. Zbl 1222.05163
Koolen, Jack H.; Yu, Hyonju
6
2011
Blocks and cut vertices of the Buneman graph. Zbl 1237.05043
Dress, A. W. M.; Huber, K. T.; Koolen, J.; Moulton, V.
3
2011
The non-bipartite integral graphs with spectral radius three. Zbl 1222.05151
Chung, Taeyoung; Koolen, Jack; Sano, Yoshio; Taniguchi, Tetsuji
3
2011
Shilla distance-regular graphs. Zbl 1221.05117
Koolen, Jack H.; Park, Jongyook
35
2010
On distance-regular graphs with smallest eigenvalue at least \(- m\). Zbl 1203.05043
Koolen, J. H.; Bang, S.
18
2010
Asymptotic results on the spectral radius and the diameter of graphs. Zbl 1209.05140
Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho
11
2010
Delsarte set graphs with small \(c_{2}\). Zbl 1221.05103
Bang, S.; Hiraki, A.; Koolen, J. H.
7
2010
An algorithm for computing cutpoints in finite metric spaces. Zbl 1337.54016
Dress, Andreas; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
7
2010
A relation between the Laplacian and signless Laplacian eigenvalues of a graph. Zbl 1230.05196
Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jack H.; Oboudi, Mohammad Reza
6
2010
Characterizing completely regular codes from an algebraic viewpoint. Zbl 1231.05300
Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J.
6
2010
A lower bound for the spectral radius of graphs with fixed diameter. Zbl 1217.05139
Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho
5
2010
On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs. Zbl 1218.05086
Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jacobus H.; Oboudi, Mohammad Reza
5
2010
A conjecture of Biggs concerning the resistance of a distance-regular graph. Zbl 1225.05256
Markowsky, Greg; Koolen, Jacobus
1
2010
The vertex-connectivity of a distance-regular graph. Zbl 1175.05072
Brouwer, Andries E.; Koolen, Jack H.
18
2009
The spectra of the local graphs of the twisted Grassmann graphs. Zbl 1172.05333
Bang, Sejeong; Fujisaki, Tatsuya; Koolen, J. H.
12
2009
Optimal realizations of generic five-point metrics. Zbl 1184.05111
Koolen, Jack; Lesser, Alice; Moulton, Vincent
7
2009
A graph-theoretical invariant of topological spaces. Zbl 1163.54300
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
1
2009
Bounds for the Hückel energy of a graph. Zbl 1186.05080
Ghorbani, Ebrahim; Koolen, Jack H.; Yang, Jae Young
1
2009
Quartets in maximal weakly compatible split systems. Zbl 1171.05432
Grünewald, S.; Koolen, J. H.; Lee, W. S.
1
2009
There are only finitely many regular near polygons and geodetic distance-regular graphs with fixed valency. Zbl 1247.05273
Bang, S.; Koolen, J. H.; Moulton, V.
1
2009
Spectral characterization of the Hamming graphs. Zbl 1152.05041
Bang, Sejeong; van Dam, Edwin R.; Koolen, Jack H.
11
2008
Compatible decompositions and block realizations of finite metrics. Zbl 1179.05029
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
9
2008
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1182.05133
Coolsaet, Kris; Jurišić, Aleksandar; Koolen, Jack
5
2008
Cut points in metric spaces. Zbl 1142.54007
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
5
2008
Graphs cospectral with \(H(3,q)\) which are disjoint unions of at most three complete graphs. Zbl 1163.05041
Bang, S.; Koolen, J. H.
4
2008
Triangle-free distance-regular graphs with an eigenvalue multiplicity equal to their valency and diameter 3. Zbl 1133.05104
Jurišić, Aleksandar; Koolen, Jack; Žitnik, Arjana
3
2008
Block realizations of finite metrics and the tight-span construction. I: The embedding theorem. Zbl 1193.05071
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
3
2008
Counting vertices and cubes in median graphs of circular split systems. Zbl 1135.05069
Choe, Y. B.; Huber, K. T.; Koolen, J. H.; Kwon, Y. S.; Moulton, V.
2
2008
Characterizing cell-decomposable metrics. Zbl 1164.54022
Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
1
2008
Characterization of the Patterson graph. Zbl 1168.05314
Brouwer, A. E.; Jurišić, A.; Koolen, J. H.
1
2008
Delsarte clique graphs. Zbl 1109.05108
Bang, S.; Hiraki, A.; Koolen, J. H.
16
2007
Cospectral graphs and the generalized adjacency matrix. Zbl 1118.05066
van Dam, E. R.; Haemers, W. H.; Koolen, J. H.
15
2007
An algorithm for computing virtual cut points in finite metric spaces. Zbl 1175.05049
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
7
2007
Two theorems concerning the Bannai-Ito conjecture. Zbl 1121.05126
Bang, S.; Koolen, J. H.; Moulton, V.
4
2007
Concerning the relationship between realizations and tight spans of finite metrics. Zbl 1145.54024
Koolen, Jack; Lesser, Alice; Moulton, Vincent
3
2007
Distance-regular graphs with complete multipartite \(\mu\)-graphs and AT4 family. Zbl 1117.05111
Jurišić, Aleksandar; Koolen, Jack
3
2007
...and 54 more Documents
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Cited by 818 Authors

107 Koolen, Jack H.
36 Moulton, Vincent L.
31 Makhnëv, Aleksandr Alekseevich
31 Rodríguez García, José Manuel
20 Huber, Katharina T.
18 Bang, Sejeong
18 Sigarreta Almira, José María
17 Dress, Andreas W. M.
17 Park, Jongyook
15 Jurišić, Aleksandar
15 Van Dam, Edwin Robert
14 Cioabă, Sebastian M.
14 Haemers, Willem H.
13 Gutman, Ivan M.
13 Tanaka, Hajime
12 Gavrilyuk, Alexander L.
12 Hiraki, Akira
12 Paduchikh, Dmitriĭ Viktorovich
12 Terwilliger, Paul M.
11 Pestana, Domingo
11 Suzuki, Hiroshi
10 Belousov, Ivan Nikolaevich
10 Chepoi, Victor D.
10 Miklavič, Štefko
9 Belardo, Francesco
9 Stanić, Zoran
8 Das, Kinkar Chandra
8 Qiao, Zhi
8 Rada, Juan
7 Greaves, Gary
7 MacLean, Mark S.
7 Spillner, Andreas
7 Wang, Kaishun
6 Bu, Changjiang
6 Carballosa, Walter
6 Fiol, Miquel Angel
6 Ganie, Hilal Ahmad
6 Huang, Qiongxiang
6 Rifà, Josep
6 Rowlinson, Peter
6 Rubei, Elena
6 Wang, Jianfeng
6 Wu, Taoyang
6 Yang, Qianqian
6 Yu, Wei-Hsuan
6 Zhou, Jiang
6 Zinov’ev, Viktor Aleksandrovich
5 Abiad, Aida
5 Bannai, Eiichi
5 Bermudo, Sergio
5 Brouwer, Andries Evert
5 Dalfó, Cristina
5 Ghorbani, Ebrahim
5 Goryainov, Sergey Viktorovich
5 Granados, Ana
5 Hernández, Verónica
5 Herrmann, Sven
5 Klavžar, Sandi
5 Krotov, Denis S.
5 Lu, Lu
5 Martin, William J.
5 Moran, Shay
5 Nikiforov, Vladimir S.
5 Shi, Lingsheng
5 Stevanović, Dragan
5 Suda, Sho
5 Vidali, Janoš
4 Akbari, Saieed
4 Alazemi, Abdullah
4 Andelić, Milica
4 Baldisserri, Agnese
4 Borges, Joaquim
4 Chat, Bilal Ahmad
4 Hansen, Pierre
4 Hayat, Sakander
4 Iqbal, Quaid
4 Kabanov, Vladislav Vladimirovich
4 Knauer, Kolja B.
4 Lee, Jaeho
4 Liu, Fenjin
4 Martínez-Pérez, Álvaro
4 Munemasa, Akihiro
4 Nirova, Marina Sefovna
4 Pilaud, Vincent
4 Pirzada, Shariefuddin
4 Praeger, Cheryl Elisabeth
4 Rajesh Kanna, M. R.
4 Šparl, Primož
4 Sun, Lizhu
4 Szöllősi, Ferenc
4 Tayfeh-Rezaie, Behruz
4 Villeta, María
4 Zhang, Wenqian
3 Aouchiche, Mustapha
3 Bailey, Robert F.
3 Bannai, Etsuko
3 Brunetti, Maurizio
3 Cantón, Alicia
3 Cao, Mengyue
3 Carmona, Ángeles
...and 718 more Authors
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Cited in 157 Serials

100 Linear Algebra and its Applications
64 European Journal of Combinatorics
49 Discrete Mathematics
34 Journal of Algebraic Combinatorics
32 Graphs and Combinatorics
32 The Electronic Journal of Combinatorics
28 Discrete Applied Mathematics
28 Journal of Combinatorial Theory. Series A
20 Linear and Multilinear Algebra
20 Designs, Codes and Cryptography
16 Journal of Combinatorial Theory. Series B
12 Sibirskie Èlektronnye Matematicheskie Izvestiya
12 Proceedings of the Steklov Institute of Mathematics
10 Applied Mathematics Letters
9 Advances in Mathematics
9 Applied Mathematics and Computation
9 Doklady Mathematics
7 ELA. The Electronic Journal of Linear Algebra
7 Ars Mathematica Contemporanea
6 Bulletin of Mathematical Biology
6 Journal of Classification
6 SIAM Journal on Discrete Mathematics
6 Journal of Mathematical Chemistry
5 Journal of Mathematical Analysis and Applications
5 Discrete & Computational Geometry
5 AKCE International Journal of Graphs and Combinatorics
4 Indian Journal of Pure & Applied Mathematics
4 Journal of Mathematical Biology
4 Mathematical Notes
4 Theoretical Computer Science
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Annals of Combinatorics
4 Acta Mathematica Sinica. English Series
4 Symmetry
3 Advances in Applied Mathematics
3 Combinatorica
3 Algorithmica
3 Computational and Applied Mathematics
3 Discussiones Mathematicae. Graph Theory
3 Journal of Inequalities and Applications
3 Journal of Applied Mathematics and Computing
3 Central European Journal of Mathematics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Afrika Matematika
2 Communications in Algebra
2 Computers & Mathematics with Applications
2 Israel Journal of Mathematics
2 Journal of the Mechanics and Physics of Solids
2 Automatica
2 Czechoslovak Mathematical Journal
2 Inventiones Mathematicae
2 Journal of Computer and System Sciences
2 Memoirs of the American Mathematical Society
2 Michigan Mathematical Journal
2 Bulletin of the Iranian Mathematical Society
2 Experimental Mathematics
2 Calculus of Variations and Partial Differential Equations
2 Finite Fields and their Applications
2 Séminaire Lotharingien de Combinatoire
2 Journal of Discrete Mathematical Sciences & Cryptography
2 Algebraic & Geometric Topology
2 Kragujevac Journal of Mathematics
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Journal of the Indonesian Mathematical Society
2 Applicable Analysis and Discrete Mathematics
2 Asian-European Journal of Mathematics
2 Discrete Mathematics, Algorithms and Applications
2 Advances in Mathematical Physics
2 Science China. Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Palestine Journal of Mathematics
2 Transactions on Combinatorics
2 DML. Discrete Mathematics Letters
1 International Journal of Modern Physics B
1 International Journal of Engineering Science
1 Information Processing Letters
1 Mathematical Biosciences
1 Problems of Information Transmission
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
1 Algebra and Logic
1 Colloquium Mathematicum
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
1 Journal of Geometry
1 Journal of Graph Theory
1 Journal für die Reine und Angewandte Mathematik
1 Kyungpook Mathematical Journal
1 Mathematica Scandinavica
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Revista de la Unión Matemática Argentina
1 Theoretical Population Biology
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Operations Research Letters
1 Chinese Annals of Mathematics. Series B
...and 57 more Serials
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Cited in 45 Fields

680 Combinatorics (05-XX)
54 Linear and multilinear algebra; matrix theory (15-XX)
48 Convex and discrete geometry (52-XX)
47 Biology and other natural sciences (92-XX)
37 Geometry (51-XX)
33 Group theory and generalizations (20-XX)
30 Information and communication theory, circuits (94-XX)
27 General topology (54-XX)
27 Computer science (68-XX)
16 Operations research, mathematical programming (90-XX)
14 Differential geometry (53-XX)
12 Number theory (11-XX)
9 Associative rings and algebras (16-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
8 Special functions (33-XX)
8 Manifolds and cell complexes (57-XX)
8 Probability theory and stochastic processes (60-XX)
6 Algebraic geometry (14-XX)
6 Nonassociative rings and algebras (17-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Statistics (62-XX)
6 Quantum theory (81-XX)
5 Functional analysis (46-XX)
4 Numerical analysis (65-XX)
4 Mechanics of deformable solids (74-XX)
3 Mathematical logic and foundations (03-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Abstract harmonic analysis (43-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Potential theory (31-XX)
2 Difference and functional equations (39-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Partial differential equations (35-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)

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