Edit Profile (opens in new tab) Goddard, Wayne Dean Compute Distance To: Compute Author ID: goddard.wayne-d Published as: Goddard, Wayne; Goddard, W.; Goddard, W. D.; Goddard, Wayne D. Homepage: https://people.cs.clemson.edu/~goddard/ External Links: MGP · Google Scholar · dblp · GND Documents Indexed: 158 Publications since 1986, including 1 Book 1 Contribution as Editor Co-Authors: 115 Co-Authors with 145 Joint Publications 2,815 Co-Co-Authors all top 5 Co-Authors 14 single-authored 44 Henning, Michael Anthony 26 Swart, Henda C. 20 Hedetniemi, Stephen Travis 13 Dankelmann, Peter 12 Oellermann, Ortrud R. 9 Xu, Honghai 8 Kubicki, Grzegorz M. 7 Hedetniemi, Sandra Lee Mitchell 7 Kleitman, Daniel J. 6 Beineke, Lowell Wayne 6 Laskar, Renu Chakravarti 6 Srimani, Pradip K. 4 Dorfling, Michael J. 4 Jacobs, David P. 4 Lipman, Marc J. 4 Lyle, Jeremy 4 Melville, Robert C. 4 Slater, Peter James 3 Blair, Jean R. S. 3 Chartrand, Gary Theodore 3 Erwin, David John 3 Hattingh, Johannes H. 3 Kubicka, Ewa M. 3 McPillan, Charles A. 3 McRae, Alice A. 3 Mynhardt, Christina Magdalena 3 Rall, Douglas F. 3 Wash, Kirsti 3 Winter, Paul August 2 Cowen, Lenore J. 2 Favaron, Odile 2 Fricke, Gerd H. 2 Grobler, P. J. P. 2 Hamburger, Peter 2 Haynes, Teresa W. 2 Jacob, Jobby 2 Jesurum, C. Esther 2 McMorris, Frederick R. 2 Mukwembi, Simon 2 Pippert, Raymond E. 2 Plummer, Michael D. 2 Saba, Farrokh 2 Schulman, Leonard J. 2 Shi, Zhengnan 2 Swart, Christine S. 2 Trevisan, Vilmar 1 Aronov, Boris 1 Bachstein, Anna Caroline 1 Bagga, Kunwarjit S. 1 Benadé, Gerhard 1 Brandt, Stephan 1 Brešar, Boštjan 1 Broere, Izak 1 Casablanca, Rocío M. 1 Chen, Hang 1 Chung, Fan 1 Cockayne, Ernest J. 1 Dahlhaus, Elias 1 Day, David P. 1 DeLaVina, Ermelinda 1 Domke, Gayla S. 1 Dorbec, Paul 1 Dunbar, Jean E. 1 Entringer, Roger Charles 1 Erdős, Pál 1 Faudree, Ralph Jasper jun. 1 Gessel, Ira Martin 1 Harris, John M. 1 Hartnell, Bert L. 1 Horton, Steve 1 Horton, Steven B. 1 Huff, James L. 1 Jamieson, Alan C. 1 Jones, Patrick 1 Kanakadandi, Kiran 1 Katchalski, Meir 1 Kennedy, Ken 1 Kenyon, Claire M. 1 King, Valerie 1 Klavžar, Sandi 1 Klugerman, Michael 1 Knisley, Debra J. 1 Kristiansen, Petter 1 Kuenzel, Kirsti 1 Lehmacher, Connor 1 Lesniak, Linda M. 1 Maharaj, Hiren 1 Manne, Fredrik 1 McCanna, Joseph E. 1 MacKee, Terry Allan 1 Melville, Eileen 1 Mól, Lucas A. S. 1 Pach, János 1 Pepper, Ryan D. 1 Poh, Roger K. S. 1 Raines, Michael E. 1 Rosen, Kenneth H. 1 Shier, Douglas R. 1 Shur, Walter 1 Sinko, Anne C. ...and 15 more Co-Authors all top 5 Serials 23 Discrete Mathematics 19 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 12 Journal of Graph Theory 9 Discrete Applied Mathematics 8 Ars Combinatoria 7 Quaestiones Mathematicae 7 Discussiones Mathematicae. Graph Theory 6 Congressus Numerantium 5 Utilitas Mathematica 5 Graphs and Combinatorics 5 Journal of Combinatorial Optimization 4 Bulletin of the Institute of Combinatorics and its Applications 3 Networks 3 AKCE International Journal of Graphs and Combinatorics 2 Information Processing Letters 2 European Journal of Combinatorics 2 International Journal of Foundations of Computer Science 1 Mathematical Biosciences 1 Applied Mathematics and Computation 1 Czechoslovak Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Mathematica Slovaca 1 SIAM Journal on Computing 1 Theoretical Computer Science 1 Journal of Algorithms 1 Operations Research Letters 1 Combinatorica 1 Applied Mathematics Letters 1 SIAM Journal on Discrete Mathematics 1 Mathematica Bohemica 1 Aequationes Mathematicae 1 The Australasian Journal of Combinatorics 1 Taiwanese Journal of Mathematics 1 Annals of Combinatorics 1 Applicable Analysis and Discrete Mathematics 1 Open Mathematics 1 Discrete Mathematics and its Applications all top 5 Fields 143 Combinatorics (05-XX) 24 Computer science (68-XX) 7 Operations research, mathematical programming (90-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 1,135 times in 948 Documents Cited by ▼ Year ▼ Independent domination in graphs: A survey and recent results. Zbl 1260.05113Goddard, Wayne; Henning, Michael A. 66 2013 Broadcast chromatic numbers of graphs. Zbl 1224.05172Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Harris, John M.; Rall, Douglas F. 58 2008 Defective coloring revisited. Zbl 0877.05019Cowen, Lenore; Goddard, Wayne; Jesurum, C. Esther 47 1997 The average eccentricity of a graph and its subgraphs. Zbl 1051.05039Dankelmann, Peter; Goddard, Wayne; Swart, Christine S. 41 2004 Vizing’s conjecture: a survey and recent results. Zbl 1234.05173Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. 39 2012 Eternal security in graphs. Zbl 1067.05051Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 37 2005 A survey of integrity. Zbl 0778.05041Bagga, K. S.; Beineke, L. W.; Goddard, W. D.; Lipman, M. J.; Pippert, R. E. 36 1992 Offensive alliances in graphs. Zbl 1064.05112Favaron, Odile; Fricke, Gerd; Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Kristiansen, Petter; Laskar, Renu C.; Skaggs, R. Duane 34 2004 Weakly pancyclic graphs. Zbl 0927.05045Brandt, Stephan; Faudree, Ralph; Goddard, Wayne 31 1998 The diameter of total domination vertex critical graphs. Zbl 1055.05113Goddard, Wayne; Haynes, Teresa W.; Henning, Michael A.; van der Merwe, Lucas C. 27 2004 Semitotal domination in graphs. Zbl 1300.05220Goddard, Wayne; Henning, Michael A.; McPillan, Charles A. 24 2014 Domination in planar graphs with small diameter. Zbl 0997.05072Goddard, Wayne; Henning, Michael A. 23 2002 The algorithmic complexity of minus domination in graphs. Zbl 0848.05041Dunbar, Jean; Goddard, Wayne; Hedetniemi, Stephen; McRae, Alice; Henning, Michael A. 22 1996 Acyclic colorings of planar graphs. Zbl 0742.05041Goddard, Wayne 21 1991 The \(S\)-packing chromatic number of a graph. Zbl 1293.05106Goddard, Wayne; Xu, Honghai 21 2012 Construction of trees and graphs with equal domination parameters. Zbl 1104.05053Dorfling, Michael; Goddard, Wayne; Henning, Michael A.; Mynhardt, C. M. 21 2006 Crossing families. Zbl 0804.52010Aronov, B.; Erdős, Paul; Goddard, W.; Kleitman, Daniel J.; Klugerman, M.; Pach, János; Schulman, L. J. 19 1994 On the independent domination number of regular graphs. Zbl 1256.05169Goddard, Wayne; Henning, Michael A.; Lyle, Jeremy; Southey, Justin 19 2012 On the cycle structure of multipartite tournaments. Zbl 0840.05026Goddard, Wayne D.; Oellermann, Ortrud R. 16 1991 A note on \(S\)-packing colorings of lattices. Zbl 1283.05095Goddard, Wayne; Xu, Honghai 15 2014 Generalized subgraph-restricted matchings in graphs. Zbl 1063.05108Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu 15 2005 Bounds on the \(k\)-domination number of a graph. Zbl 1216.05100DeLaViña, Ermelinda; Goddard, Wayne; Henning, Michael A.; Pepper, Ryan; Vaughan, Emil R. 14 2011 Distance and connectivity measures in permutation graphs. Zbl 1022.05024Goddard, Wayne; Raines, Michael E.; Slater, Peter J. 14 2003 On multipartite tournaments. Zbl 0736.05040Goddard, Wayne D.; Kubicki, Grzegorz; Oellermann, Ortrud R.; Tian, Songlin 14 1991 Distance-\(k\) knowledge in self-stabilizing algorithms. Zbl 1146.68057Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 14 2008 A characterization of cubic graphs with paired-domination number three-fifths their order. Zbl 1203.05117Goddard, Wayne; Henning, Michael A. 13 2009 Distance in graphs. Zbl 1221.05113Goddard, Wayne; Oellermann, Ortrud R. 12 2011 The disjunctive domination number of a graph. Zbl 1404.05150Goddard, Wayne; Henning, Michael A.; McPillan, Charles A. 12 2014 Static mastermind. Zbl 1108.91018Goddard, Wayne 11 2003 Maximum sizes of graphs with given domination parameters. Zbl 1044.05053Dankelmann, Peter; Domke, Gayla S.; Goddard, Wayne; Grobler, Paul; Hattingh, Johannes H.; Swart, Henda C. 11 2004 Integrity in graphs: Bounds and basics. Zbl 0708.05031Goddard, Wayne; Swart, Henda C. 11 1990 On the toughness of a graph. Zbl 0708.05035Goddard, W. D.; Swart, Henda C. 11 1990 Some Nordhaus-Gaddum-type results. Zbl 0774.05095Goddard, Wayne; Henning, Michael A.; Swart, Henda C. 10 1992 On domination and reinforcement numbers in trees. Zbl 1133.05065Blair, Jean R. S.; Goddard, Wayne; Hedetniemi, Stephen T.; Horton, Steve; Jones, Patrick; Kubicki, Grzegorz 10 2008 Bipartite Ramsey numbers and Zarankiewicz numbers. Zbl 0953.05051Goddard, Wayne; Henning, Michael A.; Oellermann, Ortrud R. 10 2000 Dense graphs with small clique number. Zbl 1298.05188Goddard, Wayne; Lyle, Jeremy 10 2011 Distances between graphs under edge operations. Zbl 0954.05026Goddard, Wayne; Swart, Henda C. 10 1996 Domination in planar graphs with small diameter II. Zbl 1164.05418Dorfling, Michael; Goddard, Wayne; Henning, Michael A. 10 2006 MAD trees and distance-hereditary graphs. Zbl 1022.05023Dahlhaus, E.; Dankelmann, P.; Goddard, W.; Swart, H. C. 9 2003 ID codes in Cartesian products of cliques. Zbl 1274.05408Goddard, Wayne; Wash, Kirsti 9 2013 Random packings of graphs. Zbl 0795.05114Beineke, Lowell W.; Hamburger, Peter; Goddard, Wayne D. 9 1994 WORM colorings forbidding cycles or cliques. Zbl 1312.05050Goddard, Wayne; Wash, Kirsti; Xu, Honghai 8 2014 Mastermind revisited. Zbl 1082.91003Goddard, Wayne 8 2004 Augmenting trees to have two disjoint total dominating sets. Zbl 1057.05061Broere, Izak; Dorfling, Michael; Goddard, Wayne; Hattingh, Johannes H.; Henning, Michael A.; Ungerer, Elna 8 2004 Augmenting a graph of minimum degree 2 to have two disjoint total dominating sets. Zbl 1073.05047Dorfling, Michael; Goddard, Wayne; Hattingh, Johannes H.; Henning, Michael A. 8 2005 Thoroughly dispersed colorings. Zbl 1394.05088Goddard, Wayne; Henning, Michael A. 8 2018 Generalised domination and independence in graphs. Zbl 0901.05057Goddard, Wayne; Henning, Michael A. 7 1997 An anonymous self-stabilizing algorithm for 1-maximal independent set in trees. Zbl 1178.68384Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T. 7 2004 Pancyclicity of the prism. Zbl 1112.05313Goddard, Wayne; Henning, Michael A. 7 2001 On distances between isomorphism classes of graphs. Zbl 0753.05067Benadé, Gerhard; Goddard, Wayne; McKee, Terry A.; Winter, Paul A. 6 1991 The integrity of the cube is small. Zbl 0756.05063Beineke, Lowell W.; Goddard, Wayne; Hamburger, Peter; Kleitman, Daniel J.; Lipman, Marc J.; Pippert, Raymond E. 6 1991 A synchronous self-stabilizing minimal domination protocol in an arbitrary network graph. Zbl 1205.68081Xu, Z.; Hedetniemi, S. T.; Goddard, W.; Srimani, P. K. 6 2003 Restricted domination parameters in graphs. Zbl 1130.05042Goddard, Wayne; Henning, Michael A. 6 2007 Coloring graphs to produce properly colored walks. Zbl 1377.05097Melville, Robert; Goddard, Wayne 6 2017 4-connected maximal planar graphs are 4-ordered. Zbl 1007.05068Goddard, Wayne 6 2002 Coloring with defect. Zbl 1321.05079Cowen, L. J.; Goddard, W.; Jesurum, C. E. 6 1997 On the integrity of combinations of graphs. Zbl 0696.05047Goddard, W. D.; Swart, Henda C. 6 1988 A note on maximal triangle-free graphs. Zbl 0784.05034Goddard, Wayne; Kleitman, Daniel J. 6 1993 Optimal randomized algorithms for local sorting and set-maxima. Zbl 0770.68047Goddard, Wayne; Kenyon, Claire; King, Valerie; Schulmann, Leonard J. 5 1993 Independent dominating sets in triangle-free graphs. Zbl 1245.90134Goddard, Wayne; Lyle, Jeremy 5 2012 Multipartite Ramsey numbers. Zbl 1064.05103Day, David; Goddard, Wayne; Henning, Michael A.; Swart, Henda C. 5 2001 Nordhaus–Gaddum bounds for independent domination. Zbl 1022.05057Goddard, Wayne; Henning, Michael A. 5 2003 An algorithm for partial Grundy number on trees. Zbl 1077.05046Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T.; Kennedy, Ken; Laskar, Renu; McRae, Alice 5 2005 Worm colorings. Zbl 1317.05055Goddard, Wayne; Wash, Kirsti; Xu, Honghai 5 2015 On some extremal problems in connectivity. Zbl 0840.05043Goddard, W. D.; Swart, Henda C. 5 1991 Average distance in colored graphs. Zbl 0991.05038Dankelmann, Peter; Goddard, Wayne; Slater, Peter 4 2001 An efficient algorithm for stopping on a sink in a directed graph. Zbl 1286.05057Goddard, Wayne; Kubicka, Ewa M.; Kubicki, Grzegorz 4 2013 Minimum degree conditions for cycles including specified sets of vertices. Zbl 1053.05071Goddard, Wayne 4 2004 Counting pairs of lattice paths by intersections. Zbl 0853.05003Gessel, Ira; Goddard, Wayne; Shur, Walter; Wilf, Herbert S.; Yen, Lily 4 1996 A note on cliques and independent sets. Zbl 0865.05051Entringer, Roger C.; Goddard, Wayne; Henning, Michael A. 4 1997 Properly colored trails, paths, and bridges. Zbl 1386.05058Goddard, Wayne; Melville, Robert 3 2018 Self-stabilizing distributed algorithm for strong matching in a system graph. Zbl 1215.68270Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 3 2003 A note on domination and total domination in prisms. Zbl 1434.05108Goddard, Wayne; Henning, Michael A. 3 2018 Real and integer domination in graphs. Zbl 0928.05048Goddard, Wayne; Henning, Michael A. 3 1999 A characterisation of eccentric sequences of maximal outerplanar graphs. Zbl 1296.05054Dankelmann, P.; Erwin, D. J.; Goddard, W.; Mukwembi, S.; Swart, H. C. 3 2014 Fractional, circular, and defective coloring of series-parallel graphs. Zbl 1360.05059Goddard, Wayne; Xu, Honghai 3 2016 The binding number of a graph and its cliques. Zbl 1227.05206Lyle, Jeremy; Goddard, Wayne 3 2009 Changing upper irredundance by edge addition. Zbl 1023.05106Cockayne, E. J.; Favaron, O.; Goddard, W.; Grobler, P. J. P.; Mynhardt, C. M. 3 2003 Bounds on the total redundance and efficiency of a graph. Zbl 0993.05103Goddard, Wayne; Oellermann, Ortrud R.; Slater, Peter J.; Swart, Henda C. 3 2000 Hereditary domination and independence parameters. Zbl 1065.05069Goddard, Wayne; Haynes, Teresa; Knisley, Debra 3 2004 Self-stabilizing algorithms for orderings and colorings. Zbl 1098.68140Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 3 2005 On the graphs with maximum distance or \(k\)-diameter. Zbl 1110.05029Goddard, Wayne; Swart, Christine S.; Swart, Henda C. 3 2005 Clique/connected/total domination perfect graphs. Zbl 1054.05075Goddard, Wayne; Henning, Michael A. 3 2004 Measures of vulnerability – the integrity family. Zbl 0824.90133Goddard, Wayne 3 1994 Which graphs are distance graphs? Zbl 0716.05028Chartrand, Gary; Goddard, Wayne; Henning, M. A.; Lesniak, Linda; Swart, Henda C.; Wall, Curtiss E. 3 1990 Maximum and minimum toughness of graphs of small genus. Zbl 0874.05036Goddard, Wayne; Plummer, Michael D.; Swart, Henda C. 3 1997 Which trees are uniquely framed by the Heawood graph. Zbl 0794.05122Goddard, Wayne; Henning, Michael A.; Oellermann, Ortrud R.; Swart, Henda C. 3 1993 Some general aspects of the framing number of a graph. Zbl 0794.05123Goddard, Wayne; Henning, Michael A.; Oellermann, Ortrud R.; Swart, Henda C. 3 1993 The agreement metric for labeled binary trees. Zbl 0809.05033Goddard, Wayne; Kubicka, Ewa; Kubicki, Grzegorz; McMorris, F. R. 3 1994 Distance-\(k\) information in self-stabilizing algorithms. Zbl 1222.68411Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 3 2006 The edge-integrity of Cartesian products. Zbl 0857.05060Beineke, Lowell W.; Goddard, Wayne; Lipman, Marc J. 3 1996 The matcher game played in graphs. Zbl 1380.05128Goddard, Wayne; Henning, Michael A. 2 2018 The competition-independence game in trees. Zbl 1390.91072Goddard, Wayne; Henning, Michael A. 2 2018 A note on extremal values of the scattering number. Zbl 1277.05096Dankelmann, Peter; Goddard, Wayne; McPillan, Charles A.; Swart, Henda C. 2 2013 Graphs with maximum edge-integrity. Zbl 0933.05072Beineke, Lowell W.; Goddard, Wayne; Lipman, Marc J. 2 1997 Vertex colorings without rainbow subgraphs. Zbl 1350.05036Goddard, Wayne; Xu, Honghai 2 2016 Self-stabilizing master-slave token circulation and efficient size-computation in a unidirectional ring of arbitrary size. Zbl 1255.68287Goddard, Wayne; Srimani, Pradip K. 2 2012 Steiner distance stable graphs. Zbl 0809.05042Goddard, Wayne; Oellermann, Ortrud R.; Swart, Henda C. 2 1994 All graphs on a non-prime number of vertices are destructible. Zbl 0608.05065Goddard, W.; Winter, P. A. 2 1986 The toughness of cubic graphs. Zbl 0846.05049Goddard, Wayne 2 1996 Independent domination, colorings and the fractional idomatic number of a graph. Zbl 07208718Goddard, Wayne; Henning, Michael A. 1 2020 Thoroughly dispersed colorings. Zbl 1394.05088Goddard, Wayne; Henning, Michael A. 8 2018 Properly colored trails, paths, and bridges. Zbl 1386.05058Goddard, Wayne; Melville, Robert 3 2018 A note on domination and total domination in prisms. Zbl 1434.05108Goddard, Wayne; Henning, Michael A. 3 2018 The matcher game played in graphs. Zbl 1380.05128Goddard, Wayne; Henning, Michael A. 2 2018 The competition-independence game in trees. Zbl 1390.91072Goddard, Wayne; Henning, Michael A. 2 2018 Handbook of discrete and combinatorial mathematics. 2nd revised and updated edition. Zbl 1421.05001 2 2018 Coloring graphs to produce properly colored walks. Zbl 1377.05097Melville, Robert; Goddard, Wayne 6 2017 Coloring subgraphs with restricted amounts of hues. Zbl 1371.05081Goddard, Wayne; Melville, Robert 1 2017 Fractional, circular, and defective coloring of series-parallel graphs. Zbl 1360.05059Goddard, Wayne; Xu, Honghai 3 2016 Vertex colorings without rainbow subgraphs. Zbl 1350.05036Goddard, Wayne; Xu, Honghai 2 2016 Worm colorings. Zbl 1317.05055Goddard, Wayne; Wash, Kirsti; Xu, Honghai 5 2015 Semitotal domination in graphs. Zbl 1300.05220Goddard, Wayne; Henning, Michael A.; McPillan, Charles A. 24 2014 A note on \(S\)-packing colorings of lattices. Zbl 1283.05095Goddard, Wayne; Xu, Honghai 15 2014 The disjunctive domination number of a graph. Zbl 1404.05150Goddard, Wayne; Henning, Michael A.; McPillan, Charles A. 12 2014 WORM colorings forbidding cycles or cliques. Zbl 1312.05050Goddard, Wayne; Wash, Kirsti; Xu, Honghai 8 2014 A characterisation of eccentric sequences of maximal outerplanar graphs. Zbl 1296.05054Dankelmann, P.; Erwin, D. J.; Goddard, W.; Mukwembi, S.; Swart, H. C. 3 2014 Independent domination in graphs: A survey and recent results. Zbl 1260.05113Goddard, Wayne; Henning, Michael A. 66 2013 ID codes in Cartesian products of cliques. Zbl 1274.05408Goddard, Wayne; Wash, Kirsti 9 2013 An efficient algorithm for stopping on a sink in a directed graph. Zbl 1286.05057Goddard, Wayne; Kubicka, Ewa M.; Kubicki, Grzegorz 4 2013 A note on extremal values of the scattering number. Zbl 1277.05096Dankelmann, Peter; Goddard, Wayne; McPillan, Charles A.; Swart, Henda C. 2 2013 Daemon conversions in distributed self-stabilizing algorithms. Zbl 1379.68339Goddard, Wayne; Srimani, Pradip K. 1 2013 Vizing’s conjecture: a survey and recent results. Zbl 1234.05173Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. 39 2012 The \(S\)-packing chromatic number of a graph. Zbl 1293.05106Goddard, Wayne; Xu, Honghai 21 2012 On the independent domination number of regular graphs. Zbl 1256.05169Goddard, Wayne; Henning, Michael A.; Lyle, Jeremy; Southey, Justin 19 2012 Independent dominating sets in triangle-free graphs. Zbl 1245.90134Goddard, Wayne; Lyle, Jeremy 5 2012 Self-stabilizing master-slave token circulation and efficient size-computation in a unidirectional ring of arbitrary size. Zbl 1255.68287Goddard, Wayne; Srimani, Pradip K. 2 2012 The algorithmic complexity of domination digraphs. Zbl 1247.05152Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A. 1 2012 Bounds on the \(k\)-domination number of a graph. Zbl 1216.05100DeLaViña, Ermelinda; Goddard, Wayne; Henning, Michael A.; Pepper, Ryan; Vaughan, Emil R. 14 2011 Distance in graphs. Zbl 1221.05113Goddard, Wayne; Oellermann, Ortrud R. 12 2011 Dense graphs with small clique number. Zbl 1298.05188Goddard, Wayne; Lyle, Jeremy 10 2011 The graph distance game. Zbl 1238.05174Goddard, Wayne; Sinko, Anne; Slater, Peter; Xu, Honghai 1 2011 A characterization of cubic graphs with paired-domination number three-fifths their order. Zbl 1203.05117Goddard, Wayne; Henning, Michael A. 13 2009 The binding number of a graph and its cliques. Zbl 1227.05206Lyle, Jeremy; Goddard, Wayne 3 2009 A note on trees, tables, and algorithms. Zbl 1192.68481Goddard, Wayne; Hedetniemi, Stephen T. 1 2009 Broadcast chromatic numbers of graphs. Zbl 1224.05172Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Harris, John M.; Rall, Douglas F. 58 2008 Distance-\(k\) knowledge in self-stabilizing algorithms. Zbl 1146.68057Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 14 2008 On domination and reinforcement numbers in trees. Zbl 1133.05065Blair, Jean R. S.; Goddard, Wayne; Hedetniemi, Stephen T.; Horton, Steve; Jones, Patrick; Kubicki, Grzegorz 10 2008 Automated bounds on recursive structures. Zbl 1152.90640Goddard, Wayne 2 2008 Restricted domination parameters in graphs. Zbl 1130.05042Goddard, Wayne; Henning, Michael A. 6 2007 Double vertex graphs and complete double vertex graphs. Zbl 1134.05090Jacob, Jobby; Goddard, Wayne; Laskar, Renu 1 2007 Construction of trees and graphs with equal domination parameters. Zbl 1104.05053Dorfling, Michael; Goddard, Wayne; Henning, Michael A.; Mynhardt, C. M. 21 2006 Domination in planar graphs with small diameter II. Zbl 1164.05418Dorfling, Michael; Goddard, Wayne; Henning, Michael A. 10 2006 Distance-\(k\) information in self-stabilizing algorithms. Zbl 1222.68411Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar 3 2006 Simultaneous graph parameters: factor domination and factor total domination. Zbl 1102.05042Dankelmann, Peter; Henning, Michael A.; Goddard, Wayne; Laskar, Renu 2 2006 Eternal security in graphs. Zbl 1067.05051Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. 37 2005 Generalized subgraph-restricted matchings in graphs. Zbl 1063.05108Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu 15 2005 Augmenting a graph of minimum degree 2 to have two disjoint total dominating sets. Zbl 1073.05047Dorfling, Michael; Goddard, Wayne; Hattingh, Johannes H.; Henning, Michael A. 8 2005 An algorithm for partial Grundy number on trees. Zbl 1077.05046Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T.; Kennedy, Ken; Laskar, Renu; McRae, Alice 5 2005 Self-stabilizing algorithms for orderings and colorings. Zbl 1098.68140Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 3 2005 On the graphs with maximum distance or \(k\)-diameter. Zbl 1110.05029Goddard, Wayne; Swart, Christine S.; Swart, Henda C. 3 2005 The average eccentricity of a graph and its subgraphs. Zbl 1051.05039Dankelmann, Peter; Goddard, Wayne; Swart, Christine S. 41 2004 Offensive alliances in graphs. Zbl 1064.05112Favaron, Odile; Fricke, Gerd; Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Kristiansen, Petter; Laskar, Renu C.; Skaggs, R. Duane 34 2004 The diameter of total domination vertex critical graphs. Zbl 1055.05113Goddard, Wayne; Haynes, Teresa W.; Henning, Michael A.; van der Merwe, Lucas C. 27 2004 Maximum sizes of graphs with given domination parameters. Zbl 1044.05053Dankelmann, Peter; Domke, Gayla S.; Goddard, Wayne; Grobler, Paul; Hattingh, Johannes H.; Swart, Henda C. 11 2004 Mastermind revisited. Zbl 1082.91003Goddard, Wayne 8 2004 Augmenting trees to have two disjoint total dominating sets. Zbl 1057.05061Broere, Izak; Dorfling, Michael; Goddard, Wayne; Hattingh, Johannes H.; Henning, Michael A.; Ungerer, Elna 8 2004 An anonymous self-stabilizing algorithm for 1-maximal independent set in trees. Zbl 1178.68384Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T. 7 2004 Minimum degree conditions for cycles including specified sets of vertices. Zbl 1053.05071Goddard, Wayne 4 2004 Hereditary domination and independence parameters. Zbl 1065.05069Goddard, Wayne; Haynes, Teresa; Knisley, Debra 3 2004 Clique/connected/total domination perfect graphs. Zbl 1054.05075Goddard, Wayne; Henning, Michael A. 3 2004 Distance and connectivity measures in permutation graphs. Zbl 1022.05024Goddard, Wayne; Raines, Michael E.; Slater, Peter J. 14 2003 Static mastermind. Zbl 1108.91018Goddard, Wayne 11 2003 MAD trees and distance-hereditary graphs. Zbl 1022.05023Dahlhaus, E.; Dankelmann, P.; Goddard, W.; Swart, H. C. 9 2003 A synchronous self-stabilizing minimal domination protocol in an arbitrary network graph. Zbl 1205.68081Xu, Z.; Hedetniemi, S. T.; Goddard, W.; Srimani, P. K. 6 2003 Nordhaus–Gaddum bounds for independent domination. Zbl 1022.05057Goddard, Wayne; Henning, Michael A. 5 2003 Self-stabilizing distributed algorithm for strong matching in a system graph. Zbl 1215.68270Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K. 3 2003 Changing upper irredundance by edge addition. Zbl 1023.05106Cockayne, E. J.; Favaron, O.; Goddard, W.; Grobler, P. J. P.; Mynhardt, C. M. 3 2003 Domination in planar graphs with small diameter. Zbl 0997.05072Goddard, Wayne; Henning, Michael A. 23 2002 4-connected maximal planar graphs are 4-ordered. Zbl 1007.05068Goddard, Wayne 6 2002 More measures of vulnerability: Splinter sets and directed toughness. Zbl 1026.05070Beineke, L. W.; Goddard, W.; Vandell, R. C. 1 2002 A note on Steiner-distance-hereditary graphs. Zbl 0990.05039Goddard, Wayne 1 2002 Pancyclicity of the prism. Zbl 1112.05313Goddard, Wayne; Henning, Michael A. 7 2001 Multipartite Ramsey numbers. Zbl 1064.05103Day, David; Goddard, Wayne; Henning, Michael A.; Swart, Henda C. 5 2001 Average distance in colored graphs. Zbl 0991.05038Dankelmann, Peter; Goddard, Wayne; Slater, Peter 4 2001 Minimal and maximal \(e=1\) functions. Zbl 0976.05043Dankelmann, P.; Erwin, D. J.; Fricke, G.; Goddard, W.; Swart, H. C. 1 2001 Bipartite Ramsey numbers and Zarankiewicz numbers. Zbl 0953.05051Goddard, Wayne; Henning, Michael A.; Oellermann, Ortrud R. 10 2000 Bounds on the total redundance and efficiency of a graph. Zbl 0993.05103Goddard, Wayne; Oellermann, Ortrud R.; Slater, Peter J.; Swart, Henda C. 3 2000 Real and integer domination in graphs. Zbl 0928.05048Goddard, Wayne; Henning, Michael A. 3 1999 Homogeneous embeddings of cycles in graphs. Zbl 0933.05084Goddard, Wayne; Henning, Michael A.; Maharaj, Hiren 1 1999 Generalized eccentricity, radius, and diameter in graphs. Zbl 0946.05037Dankelmann, Peter; Goddard, Wayne; Henning, Michael A.; Swart, Henda C. 1 1999 Weakly pancyclic graphs. Zbl 0927.05045Brandt, Stephan; Faudree, Ralph; Goddard, Wayne 31 1998 Defective coloring revisited. Zbl 0877.05019Cowen, Lenore; Goddard, Wayne; Jesurum, C. Esther 47 1997 Generalised domination and independence in graphs. Zbl 0901.05057Goddard, Wayne; Henning, Michael A. 7 1997 Coloring with defect. Zbl 1321.05079Cowen, L. J.; Goddard, W.; Jesurum, C. E. 6 1997 A note on cliques and independent sets. Zbl 0865.05051Entringer, Roger C.; Goddard, Wayne; Henning, Michael A. 4 1997 Maximum and minimum toughness of graphs of small genus. Zbl 0874.05036Goddard, Wayne; Plummer, Michael D.; Swart, Henda C. 3 1997 Graphs with maximum edge-integrity. Zbl 0933.05072Beineke, Lowell W.; Goddard, Wayne; Lipman, Marc J. 2 1997 The algorithmic complexity of minus domination in graphs. Zbl 0848.05041Dunbar, Jean; Goddard, Wayne; Hedetniemi, Stephen; McRae, Alice; Henning, Michael A. 22 1996 Distances between graphs under edge operations. Zbl 0954.05026Goddard, Wayne; Swart, Henda C. 10 1996 Counting pairs of lattice paths by intersections. Zbl 0853.05003Gessel, Ira; Goddard, Wayne; Shur, Walter; Wilf, Herbert S.; Yen, Lily 4 1996 The edge-integrity of Cartesian products. Zbl 0857.05060Beineke, Lowell W.; Goddard, Wayne; Lipman, Marc J. 3 1996 The toughness of cubic graphs. Zbl 0846.05049Goddard, Wayne 2 1996 Forcing disjoint segments in the plane. Zbl 0855.05049Goddard, Wayne; Katchalski, Meir; Kleitman, Daniel J. 2 1996 The greatest common divisor index of a graph. Zbl 0921.05048Chartrand, Gary; Saba, Farrokh; Goddard, Wayne; Mynhardt, Christina M. 1 1996 Mistilings with dominoes. Zbl 0829.05020Goddard, Wayne 1 1995 Crossing families. Zbl 0804.52010Aronov, B.; Erdős, Paul; Goddard, W.; Kleitman, Daniel J.; Klugerman, M.; Pach, János; Schulman, L. J. 19 1994 Random packings of graphs. Zbl 0795.05114Beineke, Lowell W.; Hamburger, Peter; Goddard, Wayne D. 9 1994 Measures of vulnerability – the integrity family. Zbl 0824.90133Goddard, Wayne 3 1994 The agreement metric for labeled binary trees. Zbl 0809.05033Goddard, Wayne; Kubicka, Ewa; Kubicki, Grzegorz; McMorris, F. R. 3 1994 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,286 Authors 90 Henning, Michael Anthony 27 Goddard, Wayne Dean 24 Brešar, Boštjan 23 Klavžar, Sandi 19 Rautenbach, Dieter 18 Haynes, Teresa W. 17 Hedetniemi, Stephen Travis 16 Rall, Douglas F. 15 Rodríguez-Velazquez, Juan Alberto 13 Jafari Rad, Nader 12 Kang, Liying 12 Klostermeyer, William F. 12 Sigarreta Almira, José María 12 Yero, Ismael Gonzalez 11 Desormeaux, Wyatt J. 11 Yeo, Anders 10 Mynhardt, Christina Magdalena 10 Shan, Erfang 10 Volkmann, Lutz 10 Wu, Baoyindureng 9 Dankelmann, Peter 9 García-Vázquez, Pedro 8 Balbuena, Camino 8 Chen, Yaojun 8 Joubert, Ernst J. 8 Kheddouci, Hamamache 8 Shao, Zehui 7 Bauer, Douglas 7 Bermudo, Sergio 7 Jäger, Gerold 7 Jendrol’, Stanislav 7 Marcote, Xavier 7 McRae, Alice A. 7 Schmeichel, Edward F. 7 Southey, Justin 7 Togni, Olivier 7 Tuza, Zsolt 6 Broersma, Hajo J. 6 Czap, Július 6 Dutton, Ronald D. 6 Fürst, Maximilian 6 Gastineau, Nicolas 6 Li, Hao 6 Mao, Yaping 6 Ozeki, Kenta 6 Panda, Bhawani Sankar 6 Wash, Kirsti 5 Aytaç, Aysun Ozan 5 Balogh, József 5 Cabrera Martínez, Abel 5 Cheng, Tai-Chiu Edwin 5 Cohen, Nathann 5 Dundar, Pinar 5 Ferme, Jasmina 5 Flandrin, Evelyne 5 Gimbel, John G. 5 Hattingh, Johannes H. 5 Hurtado, Ferran 5 Li, Shuchao 5 Lyle, Jeremy 5 Mc Inerney, Fionn 5 Mojdeh, Doost Ali 5 Pach, János 5 Sheikholeslami, Seyed Mahmoud 5 Swart, Henda C. 5 Xu, Junming 5 Yu, Guihai 4 Aichholzer, Oswin 4 Aslan, Ersin 4 Brigham, Robert C. 4 Bujtás, Csilla 4 Chellali, Mustapha 4 Furuya, Michitaka 4 Golovach, Petr A. 4 Guo, Yubao 4 Gutin, Gregory Z. 4 Gutman, Ivan M. 4 Hansberg, Adriana 4 Havet, Frédéric 4 Holub, Přemysl 4 Jacobs, David P. 4 Kahl, Nathan 4 Kang, Ross J. 4 Li, Xueliang 4 Li, Zepeng 4 Lin, Wensong 4 Liu, Xujun 4 Lu, Changhong 4 Lu, You 4 Manne, Fredrik 4 Milanič, Martin 4 Mukwembi, Simon 4 Nisse, Nicolas 4 Oellermann, Ortrud R. 4 Pandey, Arti 4 Peczarski, Marcin Piotr 4 Pérennes, Stéphane 4 Peterin, Iztok 4 Pushpam, P. Roushini Leely 4 Sereni, Jean-Sébastien ...and 1,186 more Authors all top 5 Cited in 135 Serials 168 Discrete Applied Mathematics 147 Discrete Mathematics 60 Graphs and Combinatorics 40 Theoretical Computer Science 37 Discussiones Mathematicae. Graph Theory 28 Journal of Combinatorial Optimization 23 Information Processing Letters 22 Applied Mathematics and Computation 18 Discrete Mathematics, Algorithms and Applications 14 The Electronic Journal of Combinatorics 12 Journal of Graph Theory 11 Journal of Combinatorial Theory. Series B 11 Quaestiones Mathematicae 10 Computational Geometry 9 European Journal of Combinatorics 9 International Journal of Foundations of Computer Science 9 International Journal of Computer Mathematics 9 AKCE International Journal of Graphs and Combinatorics 8 Czechoslovak Mathematical Journal 8 Bulletin of the Malaysian Mathematical Sciences Society. 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Theoretical Informatics and Applications 2 Electronic Journal of Graph Theory and Applications 2 International Journal of Applied and Computational Mathematics 2 Journal of Algebra, Combinatorics, Discrete Structures and Applications 1 Artificial Intelligence 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Automatica 1 International Journal of Game Theory 1 Journal of Applied Probability 1 Journal of Computer and System Sciences 1 Journal of Statistical Planning and Inference 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Annals of Pure and Applied Logic 1 Journal of Classification 1 Journal of Symbolic Computation 1 Computers & Operations Research 1 Journal of Theoretical Probability 1 Discrete Mathematics and Applications 1 Designs, Codes and Cryptography 1 Games and Economic Behavior 1 Applied Mathematical Modelling 1 Expositiones Mathematicae 1 Distributed Computing 1 Chinese Science Bulletin 1 Computational Optimization and Applications 1 Opuscula Mathematica 1 Computer Science Journal of Moldova 1 INFORMS Journal on Computing 1 Taiwanese Journal of Mathematics 1 Journal of Scheduling 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Discrete Dynamics in Nature and Society 1 Fundamenta Informaticae 1 Kragujevac Journal of Mathematics ...and 35 more Serials all top 5 Cited in 27 Fields 854 Combinatorics (05-XX) 162 Computer science (68-XX) 50 Operations research, mathematical programming (90-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 18 Information and communication theory, circuits (94-XX) 12 Biology and other natural sciences (92-XX) 11 Convex and discrete geometry (52-XX) 5 Commutative algebra (13-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year