Edit Profile (opens in new tab) Dankelmann, Peter Co-Author Distance Author ID: dankelmann.peter Published as: Dankelmann, Peter; Dankelmann, P. External Links: ORCID · dblp Documents Indexed: 121 Publications since 1993, including 1 Book and 2 Additional arXiv Preprints Co-Authors: 79 Co-Authors with 101 Joint Publications 2,618 Co-Co-Authors 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 all top 5 Serials 26 Discrete Applied Mathematics 23 Discrete Mathematics 10 Journal of Graph Theory 7 Ars Combinatoria 7 Utilitas Mathematica 5 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 4 Information Processing Letters 4 SIAM Journal on Discrete Mathematics 3 Graphs and Combinatorics 3 The Electronic Journal of Combinatorics 3 Discrete Mathematics and Theoretical Computer Science. DMTCS 2 European Journal of Combinatorics 2 The Australasian Journal of Combinatorics 2 Journal of Combinatorial Optimization 2 Communications in Combinatorics and Optimization 1 Czechoslovak Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 The Journal of Mathematical Sociology 1 Networks 1 Quaestiones Mathematicae 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Journal of Global Optimization 1 Designs, Codes and Cryptography 1 Bulletin of the Institute of Combinatorics and its Applications 1 Discussiones Mathematicae. Graph Theory 1 Taiwanese Journal of Mathematics 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Electronic Journal of Graph Theory and Applications Fields 119 Combinatorics (05-XX) 4 Computer science (68-XX) 4 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 26 Fields 539 Combinatorics (05-XX) 63 Biology and other natural sciences (92-XX) 41 Computer science (68-XX) 33 Information and communication theory, circuits (94-XX) 32 Operations research, mathematical programming (90-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Group theory and generalizations (20-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 3 Quantum theory (81-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year