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Author ID: dankelmann.peter Recent zbMATH articles by "Dankelmann, Peter"
Published as: Dankelmann, Peter; Dankelmann, P.
External Links: ORCID · dblp
all top 5

Co-Authors

20 single-authored
30 Swart, Henda C.
17 Mukwembi, Simon
13 Goddard, Wayne Dean
13 Volkmann, Lutz
9 Oellermann, Ortrud R.
8 Erwin, David John
8 Henning, Michael Anthony
6 Czabarka, Éva
6 Székely, László A.
5 Alochukwu, Alex S.
5 Rodrigues, Bernardo Gabriel
4 Ali, Patrick
3 Bau, Sheng
3 Day, David P.
3 Hattingh, Johannes H.
3 Mafunda, Sonwabile
3 Morgan, Megan J.
3 Osaye, Fadekemi Janet
3 Rautenbach, Dieter
3 van den Berg, Paul
3 Vetrík, Tomáš
2 Casablanca, Rocío M.
2 Dahlhaus, Elias
2 Dossou-Olory, Audace A. V.
2 Guo, Yubao
2 Gutman, Ivan M.
2 Hellwig, Angelika
2 Jonck, Elizabeth
2 Key, Jennifer D.
2 Laskar, Renu Chakravarti
2 Olsen, Trevor V.
2 Sabidussi, Gert
2 Surmacs, Michel
1 Beaudou, Laurent
1 Bíró, Csaba
1 Bullock, Frank
1 Calkin, Neil J.
1 Chartrand, Gary Theodore
1 Chen, Yaojun
1 Cochran, Garner
1 Dlamini, Gcina
1 Domke, Gayla S.
1 Dorfling, Michael J.
1 Entringer, Roger Charles
1 Everett, Martin G.
1 Feng, Lihua
1 Foucaud, Florent
1 Frick, Marietjie
1 Fricke, Gerd H.
1 Grobler, P. J. P.
1 Gutin, Gregory Z.
1 Ilić, Aleksandar
1 Kim, Eun Jung
1 Mallu, Sufiyan
1 Mao, Yaping
1 Markus, Lisa R.
1 Mary, Arnaud
1 McPillan, Charles A.
1 Meierling, Dirk
1 Mól, Lucas A. S.
1 Morgan, Jane
1 Mwambene, Eric
1 Niessen, Thomas
1 Parreau, Aline
1 Plummer, Michael D.
1 Ravi, Ramamoorthi
1 Rivett-Carnac, E. J.
1 Rivett-Carnac, Emily
1 Schiermeyer, Ingo
1 Schultz, Michelle
1 Sinclair, Philip Andrew
1 Slater, Peter James
1 Smithdorf, Vivienne
1 Stevanović, Dragan
1 Swart, Christine S.
1 van Aardt, Susan A.
1 Wang, Xiaolin
1 Wang, Zhao
1 Yu, Guihai

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 951 times in 574 Documents Cited by Year
The average eccentricity of a graph and its subgraphs. Zbl 1051.05039
Dankelmann, Peter; Goddard, Wayne; Swart, Christine S.
50
2004
The edge-Wiener index of a graph. Zbl 1188.05059
Dankelmann, P.; Gutman, I.; Mukwembi, S.; Swart, H. C.
44
2009
Average distance, minimum degree, and spanning trees. Zbl 0939.05030
Dankelmann, Peter; Entringer, Roger
37
2000
Average distance and independence number. Zbl 0803.05020
Dankelmann, P.
36
1994
On the degree distance of a graph. Zbl 1209.05069
Dankelmann, P.; Gutman, I.; Mukwembi, S.; Swart, H. C.
34
2009
Average distance and domination number. Zbl 0888.05024
Dankelmann, P.
32
1997
The average Steiner distance of a graph. Zbl 0849.05026
Dankelmann, Peter; Oellermann, Ortrud R.; Swart, Henda C.
28
1996
Degree distance of unicyclic and bicyclic graphs. Zbl 1222.05040
Ilić, Aleksandar; Stevanović, Dragan; Feng, Lihua; Yu, Guihai; Dankelmann, Peter
26
2011
Inverse degree and edge-connectivity. Zbl 1203.05082
Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz
26
2009
Domination with exponential decay. Zbl 1191.05070
Dankelmann, Peter; Day, David; Erwin, David; Mukwembi, Simon; Swart, Henda
25
2009
Codes from incidence matrices of graphs. Zbl 1264.05012
Dankelmann, P.; Key, J. D.; Rodrigues, B. G.
23
2013
On the average Steiner distance of graphs with presribed properties. Zbl 0884.05040
Dankelmann, Peter; Swart, Henda C.; Oellermann, Ortrud R.
21
1997
Upper bounds on the average eccentricity. Zbl 1284.05194
Dankelmann, Peter; Mukwembi, Simon
20
2014
Diameter and inverse degree. Zbl 1142.05022
Dankelmann, Peter; Swart, Henda C.; van den Berg, Paul
17
2008
Upper bounds on distance measures in \(K_{3,3}\)-free graphs. Zbl 1074.05030
Dankelmann, Peter; Dlamini, Gcina; Swart, Henda C.
17
2005
Twin domination in digraphs. Zbl 1079.05064
Chartrand, Gary; Dankelmann, Peter; Schultz, Michelle; Swart, Henda C.
17
2003
Degree sequence conditions for maximally edge-connected graphs and digraphs. Zbl 0879.05049
Dankelmann, Peter; Volkmann, Lutz
17
1997
New sufficient conditions for equality of minimum degree and edge-connectivity. Zbl 0839.05065
Dankelmann, Peter; Volkmann, Lutz
16
1995
On equality in an upper bound for the restrained and total domination numbers of a graph. Zbl 1138.05049
Dankelmann, Peter; Day, David; Hattingh, Johannes H.; Henning, Michael A.; Markus, Lisa R.; Swart, Henda C.
15
2007
Upper bounds on the Steiner diameter of a graph. Zbl 1245.05031
Ali, Patrick; Dankelmann, Peter; Mukwembi, Simon
14
2012
Diameter of orientations of graphs with given minimum degree. Zbl 1315.05041
Bau, Sheng; Dankelmann, Peter
14
2015
Average distance and vertex-connectivity. Zbl 1221.05108
Dankelmann, Peter; Mukwembi, Simon; Swart, Henda C.
13
2009
Maximum sizes of graphs with given domination parameters. Zbl 1044.05053
Dankelmann, Peter; Domke, Gayla S.; Goddard, Wayne; Grobler, Paul; Hattingh, Johannes H.; Swart, Henda C.
12
2004
Trees with equal domination and restrained domination numbers. Zbl 1089.05056
Dankelmann, Peter; Hattingh, Johannes H.; Henning, Michael A.; Swart, Henda C.
12
2006
Computing the average distance of an interval graph. Zbl 0813.68141
Dankelmann, Peter
12
1993
Oriented diameter of graphs with given maximum degree. Zbl 1451.05065
Dankelmann, Peter; Guo, Yubao; Surmacs, Michel
12
2018
Average distance in weighted graphs. Zbl 1238.05071
Dankelmann, Peter
11
2012
Some centrality results – new and old. Zbl 1134.91576
Everett, Martin G.; Sinclair, Philip; Dankelmann, Peter
11
2004
The domatic number of regular graphs. Zbl 1073.05046
Dankelmann, Peter; Calkin, Neil
11
2004
Proximity, remoteness and minimum degree. Zbl 1311.05048
Dankelmann, Peter
11
2015
Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Zbl 0941.05019
Dankelmann, Peter; Volkmann, Lutz
10
2000
Minimum average distance of strong orientations of graphs. Zbl 1055.05042
Dankelmann, Peter; Oellermann, Ortrud R.; Wu, Jian-Liang
10
2004
Average eccentricity, \(k\)-packing and \(k\)-domination in graphs. Zbl 1415.05044
Dankelmann, P.; Osaye, F. J.
10
2019
Bounding the order of a graph using its diameter and metric dimension: a study through tree decompositions and VC dimension. Zbl 1384.05077
Beaudou, Laurent; Dankelmann, Peter; Foucaud, Florent; Henning, Michael A.; Mary, Arnaud; Parreau, Aline
9
2018
On complexity of minimum leaf out-branching problem. Zbl 1211.05161
Dankelmann, Peter; Gutin, Gregory; Kim, Eun Jung
9
2009
Maximally edge-connected hypergraphs. Zbl 1322.05100
Dankelmann, Peter; Meierling, Dirk
9
2016
On the eccentric connectivity index and Wiener index of a graph. Zbl 1397.05046
Dankelmann, P.; Morgan, M. J.; Mukwembi, S.; Swart, H. C.
9
2014
On strong distances in oriented graphs. Zbl 1025.05020
Dankelmann, Peter; Swart, Henda C.; Day, David P.
9
2003
MAD trees and distance-hereditary graphs. Zbl 1022.05023
Dahlhaus, E.; Dankelmann, P.; Goddard, W.; Swart, H. C.
9
2003
Diameter of 4-colourable graphs. Zbl 1198.05035
Czabarka, É.; Dankelmann, P.; Székely, L. A.
8
2009
Average distance and edge-connectivity. II. Zbl 1151.05016
Dankelmann, Peter; Mukwembi, Simon; Swart, Henda C.
8
2007
Average distance and edge-connectivity I. Zbl 1169.05016
Dankelmann, Peter; Mukwembi, Simon; Swart, Henda C.
8
2008
A characterization of graphs by codes from their incidence matrices. Zbl 1295.05142
Dankelmann, Peter; Key, Jennifer D.; Rodrigues, Bernardo G.
8
2013
Bounds on the average connectivity of a graph. Zbl 1021.05062
Dankelmann, Peter; Oellermann, Ortrud R.
8
2003
An upper bound on the radius of a 3-edge-connected graph. Zbl 1138.05017
Dankelmann, Peter; Mukwembi, Simon; Swart, Henda C.
7
2007
The diameter of directed graphs. Zbl 1064.05050
Dankelmann, Peter
7
2005
Upper bounds on the average eccentricity of \(K_3\)-free and \(C_4\)-free graphs. Zbl 1426.05079
Dankelmann, P.; Osaye, F. J.; Mukwembi, S.; Rodrigues, B. G.
7
2019
The average eccentricity, spanning trees of plane graphs, size and order. Zbl 1395.05049
Ali, Patrick; Dankelmann, Peter; Morgan, Megan J.; Mukwembi, Simon; Swart, Henda; Vetrík, Tomáš
7
2018
Distance and eccentric sequences to bound the Wiener index, Hosoya polynomial and the average eccentricity in the strong products of graphs. Zbl 1414.05249
Casablanca, Rocío M.; Dankelmann, Peter
7
2019
Distance and size in digraphs. Zbl 1301.05097
Dankelmann, Peter
6
2015
New bounds on proximity and remoteness in graphs. Zbl 1365.05073
Dankelmann, P.
6
2016
Embedding graphs as isometric medians. Zbl 1144.05020
Dankelmann, P.; Sabidussi, G.
6
2008
Minimum size of a graph or digraph of given radius. Zbl 1197.05076
Dankelmann, Peter; Volkmann, Lutz
6
2009
Wiener index and remoteness in triangulations and quadrangulations. Zbl 1462.05072
Czabarka, Éva; Dankelmann, Peter; Olsen, Trevor; Székely, László A.
6
2021
The number of edges in a bipartite graph of given radius. Zbl 1222.05129
Dankelmann, P.; Swart, Henda C.; van den Berg, P.
5
2011
Factor domination and minimum degree. Zbl 1012.05121
Dankelmann, P.; Laskar, R. C.
5
2003
Diameter and maximum degree in Eulerian digraphs. Zbl 1329.05126
Dankelmann, Peter; Dorfling, Michael
5
2016
The radius of \(k\)-connected planar graphs with bounded faces. Zbl 1293.05074
Ali, Patrick; Dankelmann, Peter; Mukwembi, Simon
5
2012
The Steiner \(k\)-Wiener index of graphs with given minimum degree. Zbl 1419.05060
Dankelmann, Peter
5
2019
Average distance and generalised packing in graphs. Zbl 1210.05108
Dankelmann, Peter
5
2010
The diameter of almost Eulerian digraphs. Zbl 1204.05042
Dankelmann, Peter; Volkmann, L.
5
2010
Average eccentricity, minimum degree and maximum degree in graphs. Zbl 1466.05055
Dankelmann, P.; Osaye, F. J.
5
2020
On average distance in tournaments and Eulerian digraphs. Zbl 1476.05066
Dankelmann, Peter
5
2019
Wiener index in graphs with given minimum degree and maximum degree. Zbl 1498.05066
Alochukwu, Alex; Dankelmann, Peter
5
2021
On the connectivity of diamond-free graphs. Zbl 1126.05064
Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz
4
2007
A linear-time algorithm to compute a MAD tree of an interval graph. Zbl 1183.68415
Dahlhaus, Elias; Dankelmann, Peter; Ravi, R.
4
2004
Average distance in colored graphs. Zbl 0991.05038
Dankelmann, Peter; Goddard, Wayne; Slater, Peter
4
2001
A characterisation of eccentric sequences of maximal outerplanar graphs. Zbl 1296.05054
Dankelmann, P.; Erwin, D. J.; Goddard, W.; Mukwembi, S.; Swart, H. C.
4
2014
A degree condition for diameter two orientability of graphs. Zbl 1405.05044
Czabarka, Éva; Dankelmann, Peter; Székely, László A.
4
2019
A size condition for diameter two orientable graphs. Zbl 1459.05061
Cochran, Garner; Czabarka, Éva; Dankelmann, Peter; Székely, László
4
2021
Proof of a conjecture on the Wiener index of Eulerian graphs. Zbl 1466.05040
Dankelmann, Peter
4
2021
Oriented diameter of maximal outerplanar graphs. Zbl 1522.05085
Wang, Xiaolin; Chen, Yaojun; Dankelmann, Peter; Guo, Yubao; Surmacs, Michel; Volkmann, Lutz
4
2021
Average distance, minimum degree, and size. Zbl 1101.05029
Dankelmann, Peter
3
2006
Simultaneous graph parameters: factor domination and factor total domination. Zbl 1102.05042
Dankelmann, Peter; Henning, Michael A.; Goddard, Wayne; Laskar, Renu
3
2006
Wiener index, number of subtrees, and tree eccentric sequence. Zbl 1473.92062
Dankelmann, Peter; Dossou-Olory, Audace A. V.
3
2020
Proximity and remoteness in triangle-free and \(C_4\)-free graphs in terms of order and minimum degree. Zbl 1467.05061
Dankelmann, P.; Jonck, E.; Mafunda, S.
3
2021
Remarks on the domination number of graphs. Zbl 1251.05119
Biró, Csaba; Czabarka, Éva; Dankelmann, Peter; Székely, László
2
2012
Generalized eccentricity, radius, and diameter in graphs. Zbl 0946.05037
Dankelmann, Peter; Goddard, Wayne; Henning, Michael A.; Swart, Henda C.
2
1999
A note on MAD spanning trees. Zbl 0946.05025
Dankelmann, Peter
2
2000
On three conjectures of GRAFFITI. Zbl 0897.05034
Dankelmann, Peter; Swart, Henda C.; Oellermann, Ortrud R.
2
1998
On path-tough graphs. Zbl 0824.05041
Dankelmann, Peter; Niessen, Thomas; Schiermeyer, Ingo
2
1994
Degree sequences of optimally edge-connected multigraphs. Zbl 1164.05334
Dankelmann, Peter; Oellermann, Ortrud
2
2005
On the fixing number of graphs with abelian automorphism group. Zbl 1264.05059
Bradley, J.; Dankelmann, P.; Erwin, D.; Rodrigues, B. G.
2
2011
Steiner diameter of 3, 4 and 5-connected maximal planar graphs. Zbl 1303.05042
Ali, Patrick; Mukwembi, Simon; Dankelmann, Peter
2
2014
A note on extremal values of the scattering number. Zbl 1277.05096
Dankelmann, Peter; Goddard, Wayne; McPillan, Charles A.; Swart, Henda C.
2
2013
Bounding the \(k\)-Steiner Wiener and Wiener-type indices of trees in terms of eccentric sequence. Zbl 1466.05041
Dankelmann, Peter; Dossou-Olory, Audace A. V.
2
2021
The degree-diameter problem for claw-free graphs and hypergraphs. Zbl 1280.05094
Dankelmann, Peter; Vetrík, Tomáš
2
2014
The maximum average connectivity among all orientations of a graph. Zbl 1491.05115
Casablanca, Rocío M.; Dankelmann, Peter; Goddard, Wayne; Mol, Lucas; Oellermann, Ortrud
2
2022
Mean distance in graphs. (Mittlere Entfernung in Graphen.) Zbl 0832.05036
Dankelmann, Peter
1
1993
On the distance distribution of trees. Zbl 1218.05032
Dankelmann, Peter
1
2011
Minimal and maximal \(e=1\) functions. Zbl 0976.05043
Dankelmann, P.; Erwin, D. J.; Fricke, G.; Goddard, W.; Swart, H. C.
1
2001
Average distance in \(k\)-connected tournaments. Zbl 1164.05371
Dankelmann, P.; Volkmann, L.
1
2005
Average distance in bipartite tournaments. Zbl 1174.05050
Dankelmann, P.; Volkmann, L.
1
2007
Automorphism group and diameter of a graph. Zbl 1242.05183
Dankelmann, P.; Erwin, D.; Mukwembi, S.; Rodrigues, B. G.; Mwambene, E.; Sabidussi, G.
1
2012
Weighted domination in triangle-free graphs. Zbl 0995.05111
Dankelmann, Peter; Rautenbach, Dieter; Volkmann, Lutz
1
2002
Distances in graphs of girth 6 and generalised cages. Zbl 1459.05057
Alochukwu, Alex; Dankelmann, Peter
1
2021
On the difference between proximity and other distance parameters in triangle-free graphs and \(C_4\)-free graphs. Zbl 1497.05058
Dankelmann, Peter; Mafunda, Sonwabile
1
2022
Distance domination and generalized eccentricity in graphs with given minimum degree. Zbl 1504.05211
Dankelmann, Peter; Erwin, David J.
1
2020
The maximum average connectivity among all orientations of a graph. Zbl 1491.05115
Casablanca, Rocío M.; Dankelmann, Peter; Goddard, Wayne; Mol, Lucas; Oellermann, Ortrud
2
2022
On the difference between proximity and other distance parameters in triangle-free graphs and \(C_4\)-free graphs. Zbl 1497.05058
Dankelmann, Peter; Mafunda, Sonwabile
1
2022
Wiener index and remoteness in triangulations and quadrangulations. Zbl 1462.05072
Czabarka, Éva; Dankelmann, Peter; Olsen, Trevor; Székely, László A.
6
2021
Wiener index in graphs with given minimum degree and maximum degree. Zbl 1498.05066
Alochukwu, Alex; Dankelmann, Peter
5
2021
A size condition for diameter two orientable graphs. Zbl 1459.05061
Cochran, Garner; Czabarka, Éva; Dankelmann, Peter; Székely, László
4
2021
Proof of a conjecture on the Wiener index of Eulerian graphs. Zbl 1466.05040
Dankelmann, Peter
4
2021
Oriented diameter of maximal outerplanar graphs. Zbl 1522.05085
Wang, Xiaolin; Chen, Yaojun; Dankelmann, Peter; Guo, Yubao; Surmacs, Michel; Volkmann, Lutz
4
2021
Proximity and remoteness in triangle-free and \(C_4\)-free graphs in terms of order and minimum degree. Zbl 1467.05061
Dankelmann, P.; Jonck, E.; Mafunda, S.
3
2021
Bounding the \(k\)-Steiner Wiener and Wiener-type indices of trees in terms of eccentric sequence. Zbl 1466.05041
Dankelmann, Peter; Dossou-Olory, Audace A. V.
2
2021
Distances in graphs of girth 6 and generalised cages. Zbl 1459.05057
Alochukwu, Alex; Dankelmann, Peter
1
2021
Average eccentricity, minimum degree and maximum degree in graphs. Zbl 1466.05055
Dankelmann, P.; Osaye, F. J.
5
2020
Wiener index, number of subtrees, and tree eccentric sequence. Zbl 1473.92062
Dankelmann, Peter; Dossou-Olory, Audace A. V.
3
2020
Distance domination and generalized eccentricity in graphs with given minimum degree. Zbl 1504.05211
Dankelmann, Peter; Erwin, David J.
1
2020
Average eccentricity, \(k\)-packing and \(k\)-domination in graphs. Zbl 1415.05044
Dankelmann, P.; Osaye, F. J.
10
2019
Upper bounds on the average eccentricity of \(K_3\)-free and \(C_4\)-free graphs. Zbl 1426.05079
Dankelmann, P.; Osaye, F. J.; Mukwembi, S.; Rodrigues, B. G.
7
2019
Distance and eccentric sequences to bound the Wiener index, Hosoya polynomial and the average eccentricity in the strong products of graphs. Zbl 1414.05249
Casablanca, Rocío M.; Dankelmann, Peter
7
2019
The Steiner \(k\)-Wiener index of graphs with given minimum degree. Zbl 1419.05060
Dankelmann, Peter
5
2019
On average distance in tournaments and Eulerian digraphs. Zbl 1476.05066
Dankelmann, Peter
5
2019
A degree condition for diameter two orientability of graphs. Zbl 1405.05044
Czabarka, Éva; Dankelmann, Peter; Székely, László A.
4
2019
Oriented diameter of graphs with given maximum degree. Zbl 1451.05065
Dankelmann, Peter; Guo, Yubao; Surmacs, Michel
12
2018
Bounding the order of a graph using its diameter and metric dimension: a study through tree decompositions and VC dimension. Zbl 1384.05077
Beaudou, Laurent; Dankelmann, Peter; Foucaud, Florent; Henning, Michael A.; Mary, Arnaud; Parreau, Aline
9
2018
The average eccentricity, spanning trees of plane graphs, size and order. Zbl 1395.05049
Ali, Patrick; Dankelmann, Peter; Morgan, Megan J.; Mukwembi, Simon; Swart, Henda; Vetrík, Tomáš
7
2018
Maximally edge-connected hypergraphs. Zbl 1322.05100
Dankelmann, Peter; Meierling, Dirk
9
2016
New bounds on proximity and remoteness in graphs. Zbl 1365.05073
Dankelmann, P.
6
2016
Diameter and maximum degree in Eulerian digraphs. Zbl 1329.05126
Dankelmann, Peter; Dorfling, Michael
5
2016
Diameter of orientations of graphs with given minimum degree. Zbl 1315.05041
Bau, Sheng; Dankelmann, Peter
14
2015
Proximity, remoteness and minimum degree. Zbl 1311.05048
Dankelmann, Peter
11
2015
Distance and size in digraphs. Zbl 1301.05097
Dankelmann, Peter
6
2015
Upper bounds on the average eccentricity. Zbl 1284.05194
Dankelmann, Peter; Mukwembi, Simon
20
2014
On the eccentric connectivity index and Wiener index of a graph. Zbl 1397.05046
Dankelmann, P.; Morgan, M. J.; Mukwembi, S.; Swart, H. C.
9
2014
A characterisation of eccentric sequences of maximal outerplanar graphs. Zbl 1296.05054
Dankelmann, P.; Erwin, D. J.; Goddard, W.; Mukwembi, S.; Swart, H. C.
4
2014
Steiner diameter of 3, 4 and 5-connected maximal planar graphs. Zbl 1303.05042
Ali, Patrick; Mukwembi, Simon; Dankelmann, Peter
2
2014
The degree-diameter problem for claw-free graphs and hypergraphs. Zbl 1280.05094
Dankelmann, Peter; Vetrík, Tomáš
2
2014
Codes from incidence matrices of graphs. Zbl 1264.05012
Dankelmann, P.; Key, J. D.; Rodrigues, B. G.
23
2013
A characterization of graphs by codes from their incidence matrices. Zbl 1295.05142
Dankelmann, Peter; Key, Jennifer D.; Rodrigues, Bernardo G.
8
2013
A note on extremal values of the scattering number. Zbl 1277.05096
Dankelmann, Peter; Goddard, Wayne; McPillan, Charles A.; Swart, Henda C.
2
2013
Upper bounds on the Steiner diameter of a graph. Zbl 1245.05031
Ali, Patrick; Dankelmann, Peter; Mukwembi, Simon
14
2012
Average distance in weighted graphs. Zbl 1238.05071
Dankelmann, Peter
11
2012
The radius of \(k\)-connected planar graphs with bounded faces. Zbl 1293.05074
Ali, Patrick; Dankelmann, Peter; Mukwembi, Simon
5
2012
Remarks on the domination number of graphs. Zbl 1251.05119
Biró, Csaba; Czabarka, Éva; Dankelmann, Peter; Székely, László
2
2012
Automorphism group and diameter of a graph. Zbl 1242.05183
Dankelmann, P.; Erwin, D.; Mukwembi, S.; Rodrigues, B. G.; Mwambene, E.; Sabidussi, G.
1
2012
Degree distance of unicyclic and bicyclic graphs. Zbl 1222.05040
Ilić, Aleksandar; Stevanović, Dragan; Feng, Lihua; Yu, Guihai; Dankelmann, Peter
26
2011
The number of edges in a bipartite graph of given radius. Zbl 1222.05129
Dankelmann, P.; Swart, Henda C.; van den Berg, P.
5
2011
On the fixing number of graphs with abelian automorphism group. Zbl 1264.05059
Bradley, J.; Dankelmann, P.; Erwin, D.; Rodrigues, B. G.
2
2011
On the distance distribution of trees. Zbl 1218.05032
Dankelmann, Peter
1
2011
Average distance and generalised packing in graphs. Zbl 1210.05108
Dankelmann, Peter
5
2010
The diameter of almost Eulerian digraphs. Zbl 1204.05042
Dankelmann, Peter; Volkmann, L.
5
2010
The edge-Wiener index of a graph. Zbl 1188.05059
Dankelmann, P.; Gutman, I.; Mukwembi, S.; Swart, H. C.
44
2009
On the degree distance of a graph. Zbl 1209.05069
Dankelmann, P.; Gutman, I.; Mukwembi, S.; Swart, H. C.
34
2009
Inverse degree and edge-connectivity. Zbl 1203.05082
Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz
26
2009
Domination with exponential decay. Zbl 1191.05070
Dankelmann, Peter; Day, David; Erwin, David; Mukwembi, Simon; Swart, Henda
25
2009
Average distance and vertex-connectivity. Zbl 1221.05108
Dankelmann, Peter; Mukwembi, Simon; Swart, Henda C.
13
2009
On complexity of minimum leaf out-branching problem. Zbl 1211.05161
Dankelmann, Peter; Gutin, Gregory; Kim, Eun Jung
9
2009
Diameter of 4-colourable graphs. Zbl 1198.05035
Czabarka, É.; Dankelmann, P.; Székely, L. A.
8
2009
Minimum size of a graph or digraph of given radius. Zbl 1197.05076
Dankelmann, Peter; Volkmann, Lutz
6
2009
Diameter and inverse degree. Zbl 1142.05022
Dankelmann, Peter; Swart, Henda C.; van den Berg, Paul
17
2008
Average distance and edge-connectivity I. Zbl 1169.05016
Dankelmann, Peter; Mukwembi, Simon; Swart, Henda C.
8
2008
Embedding graphs as isometric medians. Zbl 1144.05020
Dankelmann, P.; Sabidussi, G.
6
2008
On equality in an upper bound for the restrained and total domination numbers of a graph. Zbl 1138.05049
Dankelmann, Peter; Day, David; Hattingh, Johannes H.; Henning, Michael A.; Markus, Lisa R.; Swart, Henda C.
15
2007
Average distance and edge-connectivity. II. Zbl 1151.05016
Dankelmann, Peter; Mukwembi, Simon; Swart, Henda C.
8
2007
An upper bound on the radius of a 3-edge-connected graph. Zbl 1138.05017
Dankelmann, Peter; Mukwembi, Simon; Swart, Henda C.
7
2007
On the connectivity of diamond-free graphs. Zbl 1126.05064
Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz
4
2007
Average distance in bipartite tournaments. Zbl 1174.05050
Dankelmann, P.; Volkmann, L.
1
2007
Trees with equal domination and restrained domination numbers. Zbl 1089.05056
Dankelmann, Peter; Hattingh, Johannes H.; Henning, Michael A.; Swart, Henda C.
12
2006
Average distance, minimum degree, and size. Zbl 1101.05029
Dankelmann, Peter
3
2006
Simultaneous graph parameters: factor domination and factor total domination. Zbl 1102.05042
Dankelmann, Peter; Henning, Michael A.; Goddard, Wayne; Laskar, Renu
3
2006
Upper bounds on distance measures in \(K_{3,3}\)-free graphs. Zbl 1074.05030
Dankelmann, Peter; Dlamini, Gcina; Swart, Henda C.
17
2005
The diameter of directed graphs. Zbl 1064.05050
Dankelmann, Peter
7
2005
Degree sequences of optimally edge-connected multigraphs. Zbl 1164.05334
Dankelmann, Peter; Oellermann, Ortrud
2
2005
Average distance in \(k\)-connected tournaments. Zbl 1164.05371
Dankelmann, P.; Volkmann, L.
1
2005
The average eccentricity of a graph and its subgraphs. Zbl 1051.05039
Dankelmann, Peter; Goddard, Wayne; Swart, Christine S.
50
2004
Maximum sizes of graphs with given domination parameters. Zbl 1044.05053
Dankelmann, Peter; Domke, Gayla S.; Goddard, Wayne; Grobler, Paul; Hattingh, Johannes H.; Swart, Henda C.
12
2004
Some centrality results – new and old. Zbl 1134.91576
Everett, Martin G.; Sinclair, Philip; Dankelmann, Peter
11
2004
The domatic number of regular graphs. Zbl 1073.05046
Dankelmann, Peter; Calkin, Neil
11
2004
Minimum average distance of strong orientations of graphs. Zbl 1055.05042
Dankelmann, Peter; Oellermann, Ortrud R.; Wu, Jian-Liang
10
2004
A linear-time algorithm to compute a MAD tree of an interval graph. Zbl 1183.68415
Dahlhaus, Elias; Dankelmann, Peter; Ravi, R.
4
2004
Twin domination in digraphs. Zbl 1079.05064
Chartrand, Gary; Dankelmann, Peter; Schultz, Michelle; Swart, Henda C.
17
2003
On strong distances in oriented graphs. Zbl 1025.05020
Dankelmann, Peter; Swart, Henda C.; Day, David P.
9
2003
MAD trees and distance-hereditary graphs. Zbl 1022.05023
Dahlhaus, E.; Dankelmann, P.; Goddard, W.; Swart, H. C.
9
2003
Bounds on the average connectivity of a graph. Zbl 1021.05062
Dankelmann, Peter; Oellermann, Ortrud R.
8
2003
Factor domination and minimum degree. Zbl 1012.05121
Dankelmann, P.; Laskar, R. C.
5
2003
Weighted domination in triangle-free graphs. Zbl 0995.05111
Dankelmann, Peter; Rautenbach, Dieter; Volkmann, Lutz
1
2002
Average distance in colored graphs. Zbl 0991.05038
Dankelmann, Peter; Goddard, Wayne; Slater, Peter
4
2001
Minimal and maximal \(e=1\) functions. Zbl 0976.05043
Dankelmann, P.; Erwin, D. J.; Fricke, G.; Goddard, W.; Swart, H. C.
1
2001
Average distance, minimum degree, and spanning trees. Zbl 0939.05030
Dankelmann, Peter; Entringer, Roger
37
2000
Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Zbl 0941.05019
Dankelmann, Peter; Volkmann, Lutz
10
2000
A note on MAD spanning trees. Zbl 0946.05025
Dankelmann, Peter
2
2000
Generalized eccentricity, radius, and diameter in graphs. Zbl 0946.05037
Dankelmann, Peter; Goddard, Wayne; Henning, Michael A.; Swart, Henda C.
2
1999
On three conjectures of GRAFFITI. Zbl 0897.05034
Dankelmann, Peter; Swart, Henda C.; Oellermann, Ortrud R.
2
1998
Average distance and domination number. Zbl 0888.05024
Dankelmann, P.
32
1997
On the average Steiner distance of graphs with presribed properties. Zbl 0884.05040
Dankelmann, Peter; Swart, Henda C.; Oellermann, Ortrud R.
21
1997
Degree sequence conditions for maximally edge-connected graphs and digraphs. Zbl 0879.05049
Dankelmann, Peter; Volkmann, Lutz
17
1997
The average Steiner distance of a graph. Zbl 0849.05026
Dankelmann, Peter; Oellermann, Ortrud R.; Swart, Henda C.
28
1996
New sufficient conditions for equality of minimum degree and edge-connectivity. Zbl 0839.05065
Dankelmann, Peter; Volkmann, Lutz
16
1995
Average distance and independence number. Zbl 0803.05020
Dankelmann, P.
36
1994
On path-tough graphs. Zbl 0824.05041
Dankelmann, Peter; Niessen, Thomas; Schiermeyer, Ingo
2
1994
Computing the average distance of an interval graph. Zbl 0813.68141
Dankelmann, Peter
12
1993
Mean distance in graphs. (Mittlere Entfernung in Graphen.) Zbl 0832.05036
Dankelmann, Peter
1
1993
all top 5

Cited by 805 Authors

56 Dankelmann, Peter
28 Mukwembi, Simon
23 Henning, Michael Anthony
17 Klavžar, Sandi
15 Das, Kinkar Chandra
15 Gutman, Ivan M.
14 Volkmann, Lutz
13 Rautenbach, Dieter
11 Li, Shuchao
11 Škrekovski, Riste
10 Joubert, Ernst J.
10 Knor, Martin
10 Székely, László A.
9 Czabarka, Éva
9 Hattingh, Johannes H.
9 Meng, Jixiang
8 Hua, Hongbo
8 Ilić, Aleksandar
8 Key, Jennifer D.
8 Mazorodze, Jaya Percival
8 Su, Guifu
8 Swart, Henda C.
8 Yu, Guihai
7 Ali, Patrick
7 Iranmanesh, Ali
7 Vetrík, Tomáš
7 Wang, Hua
7 Zhou, Bo
6 Azari, Mahdieh
6 Mao, Yaping
6 Oellermann, Ortrud R.
6 Xu, Kexiang
5 Feng, Lihua
5 Fish, Washiela
5 Goddard, Wayne Dean
5 Mwambene, Eric
5 Rodrigues, Bernardo Gabriel
5 Vijayakumar, Ambat
5 Wu, Baoyindureng
5 Zhang, Xiaodong
4 Aytaç, Aysun Ozan
4 Casablanca, Rocío M.
4 Çiftçi, Canan
4 Deng, Hanyuan
4 Fundikwa, Blessings T.
4 Guo, Xiaofeng
4 Hansen, Pierre
4 Li, Xingfu
4 Löwenstein, Christian
4 Mafunda, Sonwabile
4 Miao, Huifang
4 Osaye, Fadekemi Janet
4 Pan, Xiangfeng
4 Rajendraprasad, Deepak
4 Rasila, V. A.
4 Rodríguez García, José Manuel
4 Shan, Erfang
4 Sigarreta Almira, José María
4 Horvat, Aleksandra Tepeh
4 Tian, Yingzhi
4 Wang, Hongzhuan
4 Wang, Zhao
4 Xiong, Liming
4 Zhang, Huihui
3 Ahmad, Jamri Ayu Ameliatul Shahilah
3 Alochukwu, Alex S.
3 Araki, Toru
3 Atapour, Maryam
3 Babu, Jasine
3 Baig, Abdul Qudair
3 Balachandran, Selvaraj
3 Benson, Deepu
3 Bessy, Stéphane
3 Caro, Yair
3 Cho, Ilwoo
3 Dehgardi, Nasrin
3 Erey, Aysel
3 Farahani, Mohammad Reza
3 Furtula, Boris
3 Goyal, Shanu
3 Gutin, Gregory Z.
3 Hasni, Roslan
3 Haynes, Teresa W.
3 He, Zhihong
3 Hellwig, Angelika
3 Imran, Muhammad
3 Jäger, Simon B.
3 Jonck, Elizabeth
3 Kang, Liying
3 Kovše, Matjaž
3 Krnc, Matjaž
3 Li, Xueliang
3 Limbupasiriporn, Jirapha
3 Lu, Mei
3 Mafuta, Phillip
3 Marcon, Sinclair A.
3 Mishra, Vishnu Narayan
3 Munyira, Sheunesu
3 Nadjafi-Arani, Mohammad Javad
3 Olsen, Trevor V.
...and 705 more Authors
all top 5

Cited in 124 Serials

119 Discrete Applied Mathematics
65 Discrete Mathematics
27 Applied Mathematics and Computation
22 Journal of Combinatorial Optimization
19 Graphs and Combinatorics
16 Discrete Mathematics, Algorithms and Applications
12 Journal of Graph Theory
12 Discussiones Mathematicae. Graph Theory
12 Transactions on Combinatorics
7 Information Processing Letters
7 Quaestiones Mathematicae
7 Theoretical Computer Science
7 Applied Mathematics Letters
6 Indian Journal of Pure & Applied Mathematics
6 The Electronic Journal of Combinatorics
6 Journal of Discrete Mathematical Sciences & Cryptography
6 Journal of Applied Mathematics and Computing
6 MATCH - Communications in Mathematical and in Computer Chemistry
5 Journal of Mathematical Analysis and Applications
5 Filomat
5 Journal of Mathematical Chemistry
5 Communications in Combinatorics and Optimization
4 Bulletin of the Australian Mathematical Society
4 Computers & Mathematics with Applications
4 European Journal of Combinatorics
4 Designs, Codes and Cryptography
4 Journal of Inequalities and Applications
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 AKCE International Journal of Graphs and Combinatorics
4 Discrete Optimization
3 Czechoslovak Mathematical Journal
3 Networks
3 Annals of Operations Research
3 Linear Algebra and its Applications
3 The Australasian Journal of Combinatorics
3 Discrete Mathematics and Theoretical Computer Science. DMTCS
3 Acta Mathematica Sinica. English Series
3 Asian-European Journal of Mathematics
3 Journal of Mathematics
3 Electronic Journal of Graph Theory and Applications
2 Mathematical Notes
2 Journal of Combinatorial Theory. Series B
2 Journal of Computer and System Sciences
2 Results in Mathematics
2 Circuits, Systems, and Signal Processing
2 Acta Mathematica Hungarica
2 Acta Applicandae Mathematicae
2 Bulletin of the Iranian Mathematical Society
2 Algorithmica
2 SIAM Journal on Discrete Mathematics
2 International Journal of Foundations of Computer Science
2 International Journal of Computer Mathematics
2 SIAM Review
2 Applicable Algebra in Engineering, Communication and Computing
2 Computational and Applied Mathematics
2 Algebra and Discrete Mathematics
2 Parallel Processing Letters
2 Complex Analysis and Operator Theory
2 Advances in Mathematics of Communications
2 Advances and Applications in Discrete Mathematics
2 Iranian Journal of Mathematical Chemistry
2 Afrika Matematika
2 Journal of the Operations Research Society of China
2 Mathematics
2 AIMS Mathematics
1 Acta Informatica
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Chaos, Solitons and Fractals
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Computational and Applied Mathematics
1 The Journal of Mathematical Sociology
1 Mathematica Slovaca
1 Acta Mathematicae Applicatae Sinica
1 Bulletin of the Korean Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematicae Applicatae Sinica. English Series
1 Discrete & Computational Geometry
1 Journal of Automated Reasoning
1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
1 Numerical Methods for Partial Differential Equations
1 Mathematical Programming. Series A. Series B
1 Applied Mathematics. Series B (English Edition)
1 Opuscula Mathematica
1 Mathematical Problems in Engineering
1 Mathematical Methods of Operations Research
1 Journal of Shanghai University
1 Algebras and Representation Theory
1 Annals of Combinatorics
1 RAIRO. Operations Research
1 Kragujevac Journal of Mathematics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Journal of Applied Mathematics
1 Bulletin of the Brazilian Mathematical Society. New Series
1 Central European Journal of Mathematics
1 Quantum Information Processing
1 Journal of the Indonesian Mathematical Society
1 Boletim da Sociedade Paranaense de Matemática. Terceira Série
1 The Journal of Prime Research in Mathematics
...and 24 more Serials

Citations by Year