Edit Profile (opens in new tab) Koolen, Jack H. Compute Distance To: Compute Author ID: 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 Documents Indexed: 173 Publications since 1990, including 2 Books 4 Contributions as Editor Co-Authors: 110 Co-Authors with 169 Joint Publications 2,840 Co-Co-Authors 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 all top 5 Serials 36 European Journal of Combinatorics 18 Linear Algebra and its Applications 14 Discrete Mathematics 11 Journal of Combinatorial Theory. Series A 11 Journal of Algebraic Combinatorics 11 The Electronic Journal of Combinatorics 10 Graphs and Combinatorics 9 Journal of Combinatorial Theory. Series B 7 Designs, Codes and Cryptography 4 Applied Mathematics Letters 4 Annals of Combinatorics 3 Advances in Mathematics 2 Linear and Multilinear Algebra 2 Advances in Applied Mathematics 2 Combinatorica 2 Discrete & Computational Geometry 2 SIAM Journal on Discrete Mathematics 1 Discrete Applied Mathematics 1 Information Processing Letters 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Statistical Planning and Inference 1 Journal of Classification 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 Algebra Colloquium 1 Kyushu Journal of Mathematics 1 Discussiones Mathematicae. Graph Theory 1 ELA. The Electronic Journal of Linear Algebra 1 Séminaire Lotharingien de Combinatoire 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 RIMS Kokyuroku 1 Journal of Applied Mathematics and Computing 1 Innovations in Incidence Geometry 1 Asian-European Journal of Mathematics 1 Science China. Mathematics 1 Arabian Journal of Mathematics 1 Annals of Mathematical Sciences and Applications 1 Algebraic Combinatorics 1 The Art of Discrete and Applied Mathematics all top 5 Fields 167 Combinatorics (05-XX) 16 General topology (54-XX) 9 Biology and other natural sciences (92-XX) 8 Geometry (51-XX) 7 Convex and discrete geometry (52-XX) 7 Information and communication theory, circuits (94-XX) 5 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Operations research, mathematical programming (90-XX) 2 Manifolds and cell complexes (57-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 154 Publications have been cited 1,282 times in 760 Documents Cited by ▼ Year ▼ Maximal energy graphs. Zbl 0976.05040Koolen, Jack H.; Moulton, Vincent 91 2001 Distance-regular graphs. Zbl 1335.05062van Dam, Edwin R.; Koolen, Jack H.; Tanaka, Hajime 76 2016 On the hyperbolicity of chordal graphs. Zbl 0985.05021Brinkmann, Gunnar; Koolen, Jack H.; Moulton, V. 46 2001 Tight distance-regular graphs. Zbl 0959.05121Jurišić, Aleksandar; Koolen, Jack; Terwilliger, Paul 42 2000 Basic phylogenetic combinatorics. Zbl 1298.92008Dress, Andreas; Huber Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas 37 2012 Shilla distance-regular graphs. Zbl 1221.05117Koolen, Jack H.; Park, Jongyook 35 2010 Equiangular lines in Euclidean spaces. Zbl 1330.51006Greaves, Gary; Koolen, Jacobus H.; Munemasa, Akihiro; Szöllősi, Ferenc 35 2016 Hyperbolic bridged graphs. Zbl 1027.05035Koolen, Jack H.; Moulton, Vincent 33 2002 A new family of distance-regular graphs with unbounded diameter. Zbl 1074.05092van Dam, E. R.; Koolen, J. H. 33 2005 Maximal energy bipartite graphs. Zbl 1015.05043Koolen, Jack H.; Moulton, Vincent 32 2003 Characterizing distance-regularity of graphs by the spectrum. Zbl 1105.05076van Dam, E. R.; Haemers, W. H.; Koolen, J. H.; Spence, E. 24 2006 The distance-regular graphs of valency four. Zbl 0929.05093Brouwer, A. E.; Koolen, J. H. 20 1999 Width and dual width of subsets in polynomial association schemes. Zbl 1018.05108Brouwer, A. E.; Godsil, C. D.; Koolen, J. H.; Martin, W. J. 20 2003 The vertex-connectivity of a distance-regular graph. Zbl 1175.05072Brouwer, Andries E.; Koolen, Jack H. 18 2009 Krein parameters and antipodal tight graphs with diameter 3 and 4. Zbl 1024.05086Jurišić, Aleksandar; Koolen, Jack 18 2002 On distance-regular graphs with smallest eigenvalue at least \(- m\). Zbl 1203.05043Koolen, J. H.; Bang, S. 18 2010 A local approach to 1-homogeneous graphs. Zbl 0964.05073Jurišić, Aleksandar; Koolen, Jack 18 2000 There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V. 17 2015 Distance-regular graphs with or at least half the valency. Zbl 1235.05043Koolen, Jack H.; Park, Jongyook 17 2012 On line arrangements in the hyperbolic plane. Zbl 1023.52007Dress, A.; Koolen, J. H.; Moulton, V. 16 2003 Combinatorics of lopsided sets. Zbl 1087.05059Bandelt, Hans-Jürgen; Chepoi, Victor; Dress, Andreas; Koolen, Jack 16 2006 Delsarte clique graphs. Zbl 1109.05108Bang, S.; Hiraki, A.; Koolen, J. H. 16 2007 Cospectral graphs and the generalized adjacency matrix. Zbl 1118.05066van Dam, E. R.; Haemers, W. H.; Koolen, J. H. 15 2007 Biregular graphs with three eigenvalues. Zbl 1335.05107Cheng, Xi-Ming; Gavrilyuk, Alexander L.; Greaves, Gary R. W.; Koolen, Jack H. 14 2016 Edge-signed graphs with smallest eigenvalue greater than \(-2\). Zbl 1302.05074Greaves, Gary; Koolen, Jack; Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji 13 2015 1-homogeneous graphs with cocktail party \({\mu}\)-graphs. Zbl 1038.05059Jurišić, Aleksandar; Koolen, Jack 13 2003 \(\Delta\) additive and \(\Delta\) ultra-additive maps, Gromov’s trees, and the Farris transform. Zbl 1056.92042Dress, 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 0958.05139Jurišić, Aleksandar; Koolen, Jack 13 2000 The spectra of the local graphs of the twisted Grassmann graphs. Zbl 1172.05333Bang, Sejeong; Fujisaki, Tatsuya; Koolen, J. H. 12 2009 An inequality involving the second largest and smallest eigenvalue of a distance-regular graph. Zbl 1226.05159Koolen, Jack H.; Park, Jongyook; Yu, Hyonju 12 2011 Graphs with three eigenvalues and second largest eigenvalue at most 1. Zbl 1379.05072Cheng, Xi-Ming; Greaves, Gary R. W.; Koolen, Jack H. 11 2018 Spectral characterization of the Hamming graphs. Zbl 1152.05041Bang, Sejeong; van Dam, Edwin R.; Koolen, Jack H. 11 2008 Asymptotic results on the spectral radius and the diameter of graphs. Zbl 1209.05140Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho 11 2010 Some properties of the twisted Grassmann graphs. Zbl 1111.05099Fujisaki, Tatsuya; Koolen, Jack H.; Tagami, Makoto 10 2006 Open problems in the spectral theory of signed graphs. Zbl 1421.05052Belardo, Francesco; Cioabă, Sebastian M.; Koolen, Jack; Wang, Jianfeng 9 2018 Disconnecting strongly regular graphs. Zbl 1282.05216Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang 9 2014 Compatible decompositions and block realizations of finite metrics. Zbl 1179.05029Dress, 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 0796.05070Koolen, J. H.; Shpectorov, S. V. 9 1994 A root graph that is locally the line graph of the Petersen graph. Zbl 1023.05135Brouwer, A. E.; Koolen, J. H.; Klin, M. H. 8 2003 \(4n-10\). Zbl 1058.05063Dress, Andreas W. M.; Koolen, Jack; Moulton, Vincent 8 2004 Geometric aspects of 2-walk-regular graphs. Zbl 1282.05215Cámara, Marc; van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook 8 2013 Equilateral dimension of the rectilinear space. Zbl 0970.51016Koolen, Jack; Laurent, Monique; Schrijver, Alexander 8 2000 Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs. Zbl 1238.05220Jurišić, Aleksandar; Koolen, Jack 8 2011 On a conjecture of Brouwer involving the connectivity of strongly regular graphs. Zbl 1241.05149Cioabă, 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 1047.05043Koolen, J. H.; Moulton, V. 7 2004 On electric resistances for distance-regular graphs. Zbl 1259.05193Koolen, Jack H.; Markowsky, Greg; Park, Jongyook 7 2013 Optimal realizations of generic five-point metrics. Zbl 1184.05111Koolen, Jack; Lesser, Alice; Moulton, Vincent 7 2009 Delsarte set graphs with small \(c_{2}\). Zbl 1221.05103Bang, S.; Hiraki, A.; Koolen, J. H. 7 2010 An algorithm for computing virtual cut points in finite metric spaces. Zbl 1175.05049Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent 7 2007 On subgraphs in distance-regular graphs. Zbl 0786.05032Koolen, J. H. 7 1992 Graphs with many valencies and few eigenvalues. Zbl 1320.05082van Dam, Edwin R.; Koolen, Jack H.; Xia, Zheng-Jiang 7 2015 An algorithm for computing cutpoints in finite metric spaces. Zbl 1337.54016Dress, 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 1269.05118Cioabă, Sebastian M.; Koolen, Jack H. 7 2013 Triangle- and pentagon-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1070.05084Jurišić, Aleksandar; Koolen, Jack; Miklavič, Štefko 6 2005 On the structure of the tight-span of a totally split-decomposable metric. Zbl 1094.54012Huber, 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 1222.05163Koolen, Jack H.; Yu, Hyonju 6 2011 A relation between the Laplacian and signless Laplacian eigenvalues of a graph. Zbl 1230.05196Akbari, 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 0989.05123Dress, A.; Klucznik, M.; Koolen, J.; Moulton, V. 6 2001 On uniformly geodetic graphs. Zbl 0787.05061Koolen, J. H. 6 1993 Characterizing completely regular codes from an algebraic viewpoint. Zbl 1231.05300Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J. 6 2010 Hypercubes are determined by their distance spectra. Zbl 1338.05067Koolen, Jack H.; Hayat, Sakander; Iqbal, Quaid 6 2016 A spectral characterization of the \(s\)-clique extension of the square grid graphs. Zbl 1402.05166Hayat, Sakander; Koolen, Jack H.; Riaz, Muhammad 6 2019 A note on graphs with exactly two main eigenvalues. Zbl 1347.05115Hayat, Sakander; Koolen, Jack H.; Liu, Fenjin; Qiao, Zhi 6 2016 2-walk-regular dihedrants from group-divisible designs. Zbl 1339.05098Qiao, 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 1438.05241Gavrilyuk, Alexander L.; Koolen, Jack H. 5 2019 On graphs with smallest eigenvalue at least \(-3\) and their lattices. Zbl 1396.05071Koolen, 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 1303.05214Gavrilyuk, Alexander L.; Koolen, Jack H. 5 2015 A valency bound for distance-regular graphs. Zbl 1377.05052Qiao, Zhi; Koolen, Jack 5 2018 On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1182.05133Coolsaet, Kris; Jurišić, Aleksandar; Koolen, Jack 5 2008 Cut points in metric spaces. Zbl 1142.54007Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent 5 2008 A Higman-Haemers inequality for thick regular near polygons. Zbl 1068.05071Hiraki, 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 1012.05160Koolen, J. H.; Moulton, V. 5 2002 An improvement of the Godsil bound. Zbl 1009.05138Hiraki, Akira; Koolen, Jack 5 2002 On geometric distance-regular graphs with diameter three. Zbl 1284.05077Bang, Sejeong; Koolen, J. H. 5 2014 A note on distance-regular graphs with a small number of vertices compared to the valency. Zbl 1285.05045Koolen, Jack H.; Park, Jongyook 5 2013 Tight 2-designs and perfect 1-codes in Doob graphs. Zbl 0974.05011Koolen, J. H.; Munemasa, A. 5 2000 A lower bound for the spectral radius of graphs with fixed diameter. Zbl 1217.05139Cioabă, 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 1218.05086Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jacobus H.; Oboudi, Mohammad Reza 5 2010 A structure theory for graphs with fixed smallest eigenvalue. Zbl 1336.05089Kim, Hyun Kwang; Koolen, Jack H.; Yang, Jae Young 5 2016 Some results on the eigenvalues of distance-regular graphs. Zbl 1327.05198Bang, Sejeong; Koolen, Jack H.; Park, Jongyook 5 2015 Regular graphs with maximal energy per vertex. Zbl 1298.05217van Dam, Edwin R.; Haemers, Willem H.; Koolen, Jack H. 5 2014 Max-cut and extendability of matchings in distance-regular graphs. Zbl 1358.05083Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang 5 2017 Distance-regular graphs of diameter 3 having eigenvalue \(-1\). Zbl 1370.05130Bang, 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 0910.05041Koolen, J. H. 4 1998 A relationship between the diameter and the intersection number \(c _{2}\) for a distance-regular graph. Zbl 1245.05037Koolen, Jack H.; Park, Jongyook 4 2012 The tight span of an antipodal metric space. II: Geometrical properties. Zbl 1081.52015Huber, Katharina T.; Koolen, Jacobus H.; Moulton, Vincent 4 2004 An improvement of the Ivanov bound. Zbl 0929.05092Hiraki, Akira; Koolen, Jack 4 1998 Graphs cospectral with \(H(3,q)\) which are disjoint unions of at most three complete graphs. Zbl 1163.05041Bang, S.; Koolen, J. H. 4 2008 Arithmetic completely regular codes. Zbl 1336.05135Koolen, 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 1327.05308Koolen, Jack H.; Markowsky, Greg 4 2016 Two theorems concerning the Bannai-Ito conjecture. Zbl 1121.05126Bang, S.; Koolen, J. H.; Moulton, V. 4 2007 Maximizing the order of a regular graph of given valency and second eigenvalue. Zbl 1344.05086Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi; Vermette, Jason R. 4 2016 Edge-regular graphs with regular cliques. Zbl 1387.05272Greaves, Gary R. W.; Koolen, Jack H. 3 2018 Blocks and cut vertices of the Buneman graph. Zbl 1237.05043Dress, A. W. M.; Huber, K. T.; Koolen, J.; Moulton, V. 3 2011 The tight span of an antipodal metric space. I: combinatorial properties. Zbl 1082.54017Huber, K. T.; Koolen, J. H.; Moulton, V. 3 2005 A generalization of an inequality of Brouwer–Wilbrink. Zbl 1113.52006Hiraki, Akira; Koolen, Jack 3 2005 The non-bipartite integral graphs with spectral radius three. Zbl 1222.05151Chung, Taeyoung; Koolen, Jack; Sano, Yoshio; Taniguchi, Tetsuji 3 2011 Six points suffice: How to check for metric consistency. Zbl 0985.05016Dress, A.; Huber, K. T.; Koolen, J. H.; Moulton, V. 3 2001 Improving diameter bounds for distance-regular graphs. Zbl 1078.05089Bang, S.; Hiraki, A.; Koolen, J. H. 3 2006 A new condition for distance-regular graphs. Zbl 0762.05044Koolen, J. H. 3 1992 Addressing Johnson graphs, complete multipartite graphs, odd cycles, and random graphs. Zbl 1477.05057Alon, 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 1458.05160Yang, 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 1473.05323Greaves, 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 1462.05361Gavrilyuk, Alexander L.; Koolen, Jack H. 1 2021 Maximality of Seidel matrices and switching roots of graphs. Zbl 1479.05194Cao, 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 1440.05069Cushing, 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 1433.05212Tan, Ying-Ying; Koolen, Jack H.; Xia, Zheng-Jiang 2 2020 Problems on graphs with fixed smallest eigenvalue. Zbl 1434.05093Koolen, Jack; Yang, Qianqian 1 2020 On the Cheeger constant for distance-regular graphs. Zbl 1435.05134Qiao, Zhi; Koolen, Jack H.; Markowsky, Greg 1 2020 A spectral characterization of the \(s\)-clique extension of the square grid graphs. Zbl 1402.05166Hayat, Sakander; Koolen, Jack H.; Riaz, Muhammad 6 2019 A characterization of the graphs of bilinear \((d\times d)\)-forms over \(\mathbb{F}_2\). Zbl 1438.05241Gavrilyuk, Alexander L.; Koolen, Jack H. 5 2019 A generalization of a theorem of Hoffman. Zbl 1404.05111Koolen, Jack H.; Yang, Qianqian; Yang, Jae Young 3 2019 Non-bipartite distance-regular graphs with a small smallest eigenvalue. Zbl 1416.05096Qiao, Zhi; Jing, Yifan; Koolen, Jack 2 2019 A spectral version of the Moore problem for bipartite regular graphs. Zbl 1428.05187Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi 1 2019 On the integrability of strongly regular graphs. Zbl 1431.05152Koolen, 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 1439.05069Koolen, 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 1403.05038Huber, 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 1425.05091Dalfó, Cristina; Fiol, M. A.; Koolen, J. 1 2019 Graphs with three eigenvalues and second largest eigenvalue at most 1. Zbl 1379.05072Cheng, Xi-Ming; Greaves, Gary R. W.; Koolen, Jack H. 11 2018 Open problems in the spectral theory of signed graphs. Zbl 1421.05052Belardo, Francesco; Cioabă, Sebastian M.; Koolen, Jack; Wang, Jianfeng 9 2018 On graphs with smallest eigenvalue at least \(-3\) and their lattices. Zbl 1396.05071Koolen, Jack H.; Yang, Jae Young; Yang, Qianqian 5 2018 A valency bound for distance-regular graphs. Zbl 1377.05052Qiao, Zhi; Koolen, Jack 5 2018 Edge-regular graphs with regular cliques. Zbl 1387.05272Greaves, Gary R. W.; Koolen, Jack H. 3 2018 Partially metric association schemes with a multiplicity three. Zbl 1384.05185van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook 2 2018 On fat Hoffman graphs with smallest eigenvalue at least \(-3\). II. Zbl 1385.05049Koolen, Jack H.; Li, Yan-Ran; Yang, Qianqian 1 2018 Max-cut and extendability of matchings in distance-regular graphs. Zbl 1358.05083Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang 5 2017 Distance-regular graphs of diameter 3 having eigenvalue \(-1\). Zbl 1370.05130Bang, Sejeong; Koolen, Jack 5 2017 An application of Hoffman graphs for spectral characterizations of graphs. Zbl 1355.05163Yang, Qianqian; Abiad, Aida; Koolen, Jack H. 3 2017 Light tails and the Hermitian dual polar graphs. Zbl 1367.05173Koolen, Jack; Qiao, Zhi 2 2017 The integrally representable trees of norm \(3\). Zbl 1378.05139Koolen, Jack H.; Rehman, Masood Ur; Yang, Qianqian 1 2017 A generalization of a theorem of Neumaier. Zbl 1367.05213Cheng, Xi-Ming; Koolen, Jack H. 1 2017 Distance-regular graphs. Zbl 1335.05062van Dam, Edwin R.; Koolen, Jack H.; Tanaka, Hajime 76 2016 Equiangular lines in Euclidean spaces. Zbl 1330.51006Greaves, Gary; Koolen, Jacobus H.; Munemasa, Akihiro; Szöllősi, Ferenc 35 2016 Biregular graphs with three eigenvalues. Zbl 1335.05107Cheng, Xi-Ming; Gavrilyuk, Alexander L.; Greaves, Gary R. W.; Koolen, Jack H. 14 2016 Hypercubes are determined by their distance spectra. Zbl 1338.05067Koolen, Jack H.; Hayat, Sakander; Iqbal, Quaid 6 2016 A note on graphs with exactly two main eigenvalues. Zbl 1347.05115Hayat, Sakander; Koolen, Jack H.; Liu, Fenjin; Qiao, Zhi 6 2016 2-walk-regular dihedrants from group-divisible designs. Zbl 1339.05098Qiao, Zhi; Du, Shao Fei; Koolen, Jack H. 6 2016 A structure theory for graphs with fixed smallest eigenvalue. Zbl 1336.05089Kim, Hyun Kwang; Koolen, Jack H.; Yang, Jae Young 5 2016 Arithmetic completely regular codes. Zbl 1336.05135Koolen, 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 1327.05308Koolen, Jack H.; Markowsky, Greg 4 2016 Maximizing the order of a regular graph of given valency and second eigenvalue. Zbl 1344.05086Cioabă, 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 1352.05063Qiao, Zhi; Koolen, Jack H.; Park, Jongyook 3 2016 Characterizing block graphs in terms of their vertex-induced partitions. Zbl 1375.05055Dress, 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 1303.05044Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V. 17 2015 Edge-signed graphs with smallest eigenvalue greater than \(-2\). Zbl 1302.05074Greaves, Gary; Koolen, Jack; Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji 13 2015 Graphs with many valencies and few eigenvalues. Zbl 1320.05082van 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 1303.05214Gavrilyuk, Alexander L.; Koolen, Jack H. 5 2015 Some results on the eigenvalues of distance-regular graphs. Zbl 1327.05198Bang, Sejeong; Koolen, Jack H.; Park, Jongyook 5 2015 Optimal realizations of two-dimensional, totally-decomposable metrics. Zbl 1310.05111Herrmann, Sven; Koolen, Jack H.; Lesser, Alice; Moulton, Vincent; Wu, Taoyang 1 2015 Disconnecting strongly regular graphs. Zbl 1282.05216Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang 9 2014 On geometric distance-regular graphs with diameter three. Zbl 1284.05077Bang, Sejeong; Koolen, J. H. 5 2014 Regular graphs with maximal energy per vertex. Zbl 1298.05217van Dam, Edwin R.; Haemers, Willem H.; Koolen, Jack H. 5 2014 Geometric aspects of 2-walk-regular graphs. Zbl 1282.05215Cámara, Marc; van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook 8 2013 On electric resistances for distance-regular graphs. Zbl 1259.05193Koolen, Jack H.; Markowsky, Greg; Park, Jongyook 7 2013 On the connectedness of the complement of a ball in distance-regular graphs. Zbl 1269.05118Cioabă, Sebastian M.; Koolen, Jack H. 7 2013 A note on distance-regular graphs with a small number of vertices compared to the valency. Zbl 1285.05045Koolen, Jack H.; Park, Jongyook 5 2013 Distance-regular graphs with a relatively small eigenvalue multiplicity. Zbl 1267.05298Koolen, Jack H.; Kim, Joohyung; Park, Jongyook 1 2013 Basic phylogenetic combinatorics. Zbl 1298.92008Dress, Andreas; Huber Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas 37 2012 Distance-regular graphs with or at least half the valency. Zbl 1235.05043Koolen, Jack H.; Park, Jongyook 17 2012 On a conjecture of Brouwer involving the connectivity of strongly regular graphs. Zbl 1241.05149Cioabă, 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 1245.05037Koolen, Jack H.; Park, Jongyook 4 2012 Injective optimal realizations of finite metric spaces. Zbl 1242.05114Koolen, 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 1226.05159Koolen, Jack H.; Park, Jongyook; Yu, Hyonju 12 2011 Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs. Zbl 1238.05220Jurišić, Aleksandar; Koolen, Jack 8 2011 The distance-regular graphs such that all of its second largest local eigenvalues are at most one. Zbl 1222.05163Koolen, Jack H.; Yu, Hyonju 6 2011 Blocks and cut vertices of the Buneman graph. Zbl 1237.05043Dress, A. W. M.; Huber, K. T.; Koolen, J.; Moulton, V. 3 2011 The non-bipartite integral graphs with spectral radius three. Zbl 1222.05151Chung, Taeyoung; Koolen, Jack; Sano, Yoshio; Taniguchi, Tetsuji 3 2011 Shilla distance-regular graphs. Zbl 1221.05117Koolen, Jack H.; Park, Jongyook 35 2010 On distance-regular graphs with smallest eigenvalue at least \(- m\). Zbl 1203.05043Koolen, J. H.; Bang, S. 18 2010 Asymptotic results on the spectral radius and the diameter of graphs. Zbl 1209.05140Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho 11 2010 Delsarte set graphs with small \(c_{2}\). Zbl 1221.05103Bang, S.; Hiraki, A.; Koolen, J. H. 7 2010 An algorithm for computing cutpoints in finite metric spaces. Zbl 1337.54016Dress, 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 1230.05196Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jack H.; Oboudi, Mohammad Reza 6 2010 Characterizing completely regular codes from an algebraic viewpoint. Zbl 1231.05300Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J. 6 2010 A lower bound for the spectral radius of graphs with fixed diameter. Zbl 1217.05139Cioabă, 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 1218.05086Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jacobus H.; Oboudi, Mohammad Reza 5 2010 A conjecture of Biggs concerning the resistance of a distance-regular graph. Zbl 1225.05256Markowsky, Greg; Koolen, Jacobus 1 2010 The vertex-connectivity of a distance-regular graph. Zbl 1175.05072Brouwer, Andries E.; Koolen, Jack H. 18 2009 The spectra of the local graphs of the twisted Grassmann graphs. Zbl 1172.05333Bang, Sejeong; Fujisaki, Tatsuya; Koolen, J. H. 12 2009 Optimal realizations of generic five-point metrics. Zbl 1184.05111Koolen, Jack; Lesser, Alice; Moulton, Vincent 7 2009 A graph-theoretical invariant of topological spaces. Zbl 1163.54300Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent 1 2009 Bounds for the Hückel energy of a graph. Zbl 1186.05080Ghorbani, Ebrahim; Koolen, Jack H.; Yang, Jae Young 1 2009 Quartets in maximal weakly compatible split systems. Zbl 1171.05432Grünewald, 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 1247.05273Bang, S.; Koolen, J. H.; Moulton, V. 1 2009 Spectral characterization of the Hamming graphs. Zbl 1152.05041Bang, Sejeong; van Dam, Edwin R.; Koolen, Jack H. 11 2008 Compatible decompositions and block realizations of finite metrics. Zbl 1179.05029Dress, 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 1182.05133Coolsaet, Kris; Jurišić, Aleksandar; Koolen, Jack 5 2008 Cut points in metric spaces. Zbl 1142.54007Dress, 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 1163.05041Bang, S.; Koolen, J. H. 4 2008 Triangle-free distance-regular graphs with an eigenvalue multiplicity equal to their valency and diameter 3. Zbl 1133.05104Jurišić, Aleksandar; Koolen, Jack; Žitnik, Arjana 3 2008 Block realizations of finite metrics and the tight-span construction. I: The embedding theorem. Zbl 1193.05071Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent 3 2008 Counting vertices and cubes in median graphs of circular split systems. Zbl 1135.05069Choe, Y. B.; Huber, K. T.; Koolen, J. H.; Kwon, Y. S.; Moulton, V. 2 2008 Characterizing cell-decomposable metrics. Zbl 1164.54022Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas 1 2008 Characterization of the Patterson graph. Zbl 1168.05314Brouwer, A. E.; Jurišić, A.; Koolen, J. H. 1 2008 Delsarte clique graphs. Zbl 1109.05108Bang, S.; Hiraki, A.; Koolen, J. H. 16 2007 Cospectral graphs and the generalized adjacency matrix. Zbl 1118.05066van Dam, E. R.; Haemers, W. H.; Koolen, J. H. 15 2007 An algorithm for computing virtual cut points in finite metric spaces. Zbl 1175.05049Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent 7 2007 Two theorems concerning the Bannai-Ito conjecture. Zbl 1121.05126Bang, S.; Koolen, J. H.; Moulton, V. 4 2007 Concerning the relationship between realizations and tight spans of finite metrics. Zbl 1145.54024Koolen, Jack; Lesser, Alice; Moulton, Vincent 3 2007 Distance-regular graphs with complete multipartite \(\mu\)-graphs and AT4 family. Zbl 1117.05111Jurišić, Aleksandar; Koolen, Jack 3 2007 ...and 54 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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