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Goddard, Wayne Dean

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Author ID: goddard.wayne-d Recent zbMATH articles by "Goddard, Wayne Dean"
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
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

Publications by Year

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 1260.05113
Goddard, Wayne; Henning, Michael A.
66
2013
Broadcast chromatic numbers of graphs. Zbl 1224.05172
Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Harris, John M.; Rall, Douglas F.
58
2008
Defective coloring revisited. Zbl 0877.05019
Cowen, Lenore; Goddard, Wayne; Jesurum, C. Esther
47
1997
The average eccentricity of a graph and its subgraphs. Zbl 1051.05039
Dankelmann, Peter; Goddard, Wayne; Swart, Christine S.
41
2004
Vizing’s conjecture: a survey and recent results. Zbl 1234.05173
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
39
2012
Eternal security in graphs. Zbl 1067.05051
Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.
37
2005
A survey of integrity. Zbl 0778.05041
Bagga, K. S.; Beineke, L. W.; Goddard, W. D.; Lipman, M. J.; Pippert, R. E.
36
1992
Offensive alliances in graphs. Zbl 1064.05112
Favaron, 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 0927.05045
Brandt, Stephan; Faudree, Ralph; Goddard, Wayne
31
1998
The diameter of total domination vertex critical graphs. Zbl 1055.05113
Goddard, Wayne; Haynes, Teresa W.; Henning, Michael A.; van der Merwe, Lucas C.
27
2004
Semitotal domination in graphs. Zbl 1300.05220
Goddard, Wayne; Henning, Michael A.; McPillan, Charles A.
24
2014
Domination in planar graphs with small diameter. Zbl 0997.05072
Goddard, Wayne; Henning, Michael A.
23
2002
The algorithmic complexity of minus domination in graphs. Zbl 0848.05041
Dunbar, Jean; Goddard, Wayne; Hedetniemi, Stephen; McRae, Alice; Henning, Michael A.
22
1996
Acyclic colorings of planar graphs. Zbl 0742.05041
Goddard, Wayne
21
1991
The \(S\)-packing chromatic number of a graph. Zbl 1293.05106
Goddard, Wayne; Xu, Honghai
21
2012
Construction of trees and graphs with equal domination parameters. Zbl 1104.05053
Dorfling, Michael; Goddard, Wayne; Henning, Michael A.; Mynhardt, C. M.
21
2006
Crossing families. Zbl 0804.52010
Aronov, 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 1256.05169
Goddard, Wayne; Henning, Michael A.; Lyle, Jeremy; Southey, Justin
19
2012
On the cycle structure of multipartite tournaments. Zbl 0840.05026
Goddard, Wayne D.; Oellermann, Ortrud R.
16
1991
A note on \(S\)-packing colorings of lattices. Zbl 1283.05095
Goddard, Wayne; Xu, Honghai
15
2014
Generalized subgraph-restricted matchings in graphs. Zbl 1063.05108
Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu
15
2005
Bounds on the \(k\)-domination number of a graph. Zbl 1216.05100
DeLaViña, Ermelinda; Goddard, Wayne; Henning, Michael A.; Pepper, Ryan; Vaughan, Emil R.
14
2011
Distance and connectivity measures in permutation graphs. Zbl 1022.05024
Goddard, Wayne; Raines, Michael E.; Slater, Peter J.
14
2003
On multipartite tournaments. Zbl 0736.05040
Goddard, Wayne D.; Kubicki, Grzegorz; Oellermann, Ortrud R.; Tian, Songlin
14
1991
Distance-\(k\) knowledge in self-stabilizing algorithms. Zbl 1146.68057
Goddard, 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 1203.05117
Goddard, Wayne; Henning, Michael A.
13
2009
Distance in graphs. Zbl 1221.05113
Goddard, Wayne; Oellermann, Ortrud R.
12
2011
The disjunctive domination number of a graph. Zbl 1404.05150
Goddard, Wayne; Henning, Michael A.; McPillan, Charles A.
12
2014
Static mastermind. Zbl 1108.91018
Goddard, Wayne
11
2003
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.
11
2004
Integrity in graphs: Bounds and basics. Zbl 0708.05031
Goddard, Wayne; Swart, Henda C.
11
1990
On the toughness of a graph. Zbl 0708.05035
Goddard, W. D.; Swart, Henda C.
11
1990
Some Nordhaus-Gaddum-type results. Zbl 0774.05095
Goddard, Wayne; Henning, Michael A.; Swart, Henda C.
10
1992
On domination and reinforcement numbers in trees. Zbl 1133.05065
Blair, Jean R. S.; Goddard, Wayne; Hedetniemi, Stephen T.; Horton, Steve; Jones, Patrick; Kubicki, Grzegorz
10
2008
Bipartite Ramsey numbers and Zarankiewicz numbers. Zbl 0953.05051
Goddard, Wayne; Henning, Michael A.; Oellermann, Ortrud R.
10
2000
Dense graphs with small clique number. Zbl 1298.05188
Goddard, Wayne; Lyle, Jeremy
10
2011
Distances between graphs under edge operations. Zbl 0954.05026
Goddard, Wayne; Swart, Henda C.
10
1996
Domination in planar graphs with small diameter II. Zbl 1164.05418
Dorfling, Michael; Goddard, Wayne; Henning, Michael A.
10
2006
MAD trees and distance-hereditary graphs. Zbl 1022.05023
Dahlhaus, E.; Dankelmann, P.; Goddard, W.; Swart, H. C.
9
2003
ID codes in Cartesian products of cliques. Zbl 1274.05408
Goddard, Wayne; Wash, Kirsti
9
2013
Random packings of graphs. Zbl 0795.05114
Beineke, Lowell W.; Hamburger, Peter; Goddard, Wayne D.
9
1994
WORM colorings forbidding cycles or cliques. Zbl 1312.05050
Goddard, Wayne; Wash, Kirsti; Xu, Honghai
8
2014
Mastermind revisited. Zbl 1082.91003
Goddard, Wayne
8
2004
Augmenting trees to have two disjoint total dominating sets. Zbl 1057.05061
Broere, 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 1073.05047
Dorfling, Michael; Goddard, Wayne; Hattingh, Johannes H.; Henning, Michael A.
8
2005
Thoroughly dispersed colorings. Zbl 1394.05088
Goddard, Wayne; Henning, Michael A.
8
2018
Generalised domination and independence in graphs. Zbl 0901.05057
Goddard, Wayne; Henning, Michael A.
7
1997
An anonymous self-stabilizing algorithm for 1-maximal independent set in trees. Zbl 1178.68384
Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T.
7
2004
Pancyclicity of the prism. Zbl 1112.05313
Goddard, Wayne; Henning, Michael A.
7
2001
On distances between isomorphism classes of graphs. Zbl 0753.05067
Benadé, Gerhard; Goddard, Wayne; McKee, Terry A.; Winter, Paul A.
6
1991
The integrity of the cube is small. Zbl 0756.05063
Beineke, 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 1205.68081
Xu, Z.; Hedetniemi, S. T.; Goddard, W.; Srimani, P. K.
6
2003
Restricted domination parameters in graphs. Zbl 1130.05042
Goddard, Wayne; Henning, Michael A.
6
2007
Coloring graphs to produce properly colored walks. Zbl 1377.05097
Melville, Robert; Goddard, Wayne
6
2017
4-connected maximal planar graphs are 4-ordered. Zbl 1007.05068
Goddard, Wayne
6
2002
Coloring with defect. Zbl 1321.05079
Cowen, L. J.; Goddard, W.; Jesurum, C. E.
6
1997
On the integrity of combinations of graphs. Zbl 0696.05047
Goddard, W. D.; Swart, Henda C.
6
1988
A note on maximal triangle-free graphs. Zbl 0784.05034
Goddard, Wayne; Kleitman, Daniel J.
6
1993
Optimal randomized algorithms for local sorting and set-maxima. Zbl 0770.68047
Goddard, Wayne; Kenyon, Claire; King, Valerie; Schulmann, Leonard J.
5
1993
Independent dominating sets in triangle-free graphs. Zbl 1245.90134
Goddard, Wayne; Lyle, Jeremy
5
2012
Multipartite Ramsey numbers. Zbl 1064.05103
Day, David; Goddard, Wayne; Henning, Michael A.; Swart, Henda C.
5
2001
Nordhaus–Gaddum bounds for independent domination. Zbl 1022.05057
Goddard, Wayne; Henning, Michael A.
5
2003
An algorithm for partial Grundy number on trees. Zbl 1077.05046
Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T.; Kennedy, Ken; Laskar, Renu; McRae, Alice
5
2005
Worm colorings. Zbl 1317.05055
Goddard, Wayne; Wash, Kirsti; Xu, Honghai
5
2015
On some extremal problems in connectivity. Zbl 0840.05043
Goddard, W. D.; Swart, Henda C.
5
1991
Average distance in colored graphs. Zbl 0991.05038
Dankelmann, Peter; Goddard, Wayne; Slater, Peter
4
2001
An efficient algorithm for stopping on a sink in a directed graph. Zbl 1286.05057
Goddard, Wayne; Kubicka, Ewa M.; Kubicki, Grzegorz
4
2013
Minimum degree conditions for cycles including specified sets of vertices. Zbl 1053.05071
Goddard, Wayne
4
2004
Counting pairs of lattice paths by intersections. Zbl 0853.05003
Gessel, Ira; Goddard, Wayne; Shur, Walter; Wilf, Herbert S.; Yen, Lily
4
1996
A note on cliques and independent sets. Zbl 0865.05051
Entringer, Roger C.; Goddard, Wayne; Henning, Michael A.
4
1997
Properly colored trails, paths, and bridges. Zbl 1386.05058
Goddard, Wayne; Melville, Robert
3
2018
Self-stabilizing distributed algorithm for strong matching in a system graph. Zbl 1215.68270
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K.
3
2003
A note on domination and total domination in prisms. Zbl 1434.05108
Goddard, Wayne; Henning, Michael A.
3
2018
Real and integer domination in graphs. Zbl 0928.05048
Goddard, Wayne; Henning, Michael A.
3
1999
A characterisation of eccentric sequences of maximal outerplanar graphs. Zbl 1296.05054
Dankelmann, P.; Erwin, D. J.; Goddard, W.; Mukwembi, S.; Swart, H. C.
3
2014
Fractional, circular, and defective coloring of series-parallel graphs. Zbl 1360.05059
Goddard, Wayne; Xu, Honghai
3
2016
The binding number of a graph and its cliques. Zbl 1227.05206
Lyle, Jeremy; Goddard, Wayne
3
2009
Changing upper irredundance by edge addition. Zbl 1023.05106
Cockayne, 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 0993.05103
Goddard, Wayne; Oellermann, Ortrud R.; Slater, Peter J.; Swart, Henda C.
3
2000
Hereditary domination and independence parameters. Zbl 1065.05069
Goddard, Wayne; Haynes, Teresa; Knisley, Debra
3
2004
Self-stabilizing algorithms for orderings and colorings. Zbl 1098.68140
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K.
3
2005
On the graphs with maximum distance or \(k\)-diameter. Zbl 1110.05029
Goddard, Wayne; Swart, Christine S.; Swart, Henda C.
3
2005
Clique/connected/total domination perfect graphs. Zbl 1054.05075
Goddard, Wayne; Henning, Michael A.
3
2004
Measures of vulnerability – the integrity family. Zbl 0824.90133
Goddard, Wayne
3
1994
Which graphs are distance graphs? Zbl 0716.05028
Chartrand, 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 0874.05036
Goddard, Wayne; Plummer, Michael D.; Swart, Henda C.
3
1997
Which trees are uniquely framed by the Heawood graph. Zbl 0794.05122
Goddard, Wayne; Henning, Michael A.; Oellermann, Ortrud R.; Swart, Henda C.
3
1993
Some general aspects of the framing number of a graph. Zbl 0794.05123
Goddard, Wayne; Henning, Michael A.; Oellermann, Ortrud R.; Swart, Henda C.
3
1993
The agreement metric for labeled binary trees. Zbl 0809.05033
Goddard, Wayne; Kubicka, Ewa; Kubicki, Grzegorz; McMorris, F. R.
3
1994
Distance-\(k\) information in self-stabilizing algorithms. Zbl 1222.68411
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
3
2006
The edge-integrity of Cartesian products. Zbl 0857.05060
Beineke, Lowell W.; Goddard, Wayne; Lipman, Marc J.
3
1996
The matcher game played in graphs. Zbl 1380.05128
Goddard, Wayne; Henning, Michael A.
2
2018
The competition-independence game in trees. Zbl 1390.91072
Goddard, Wayne; Henning, Michael A.
2
2018
A note on extremal values of the scattering number. Zbl 1277.05096
Dankelmann, Peter; Goddard, Wayne; McPillan, Charles A.; Swart, Henda C.
2
2013
Graphs with maximum edge-integrity. Zbl 0933.05072
Beineke, Lowell W.; Goddard, Wayne; Lipman, Marc J.
2
1997
Vertex colorings without rainbow subgraphs. Zbl 1350.05036
Goddard, Wayne; Xu, Honghai
2
2016
Self-stabilizing master-slave token circulation and efficient size-computation in a unidirectional ring of arbitrary size. Zbl 1255.68287
Goddard, Wayne; Srimani, Pradip K.
2
2012
Steiner distance stable graphs. Zbl 0809.05042
Goddard, Wayne; Oellermann, Ortrud R.; Swart, Henda C.
2
1994
All graphs on a non-prime number of vertices are destructible. Zbl 0608.05065
Goddard, W.; Winter, P. A.
2
1986
The toughness of cubic graphs. Zbl 0846.05049
Goddard, Wayne
2
1996
Independent domination, colorings and the fractional idomatic number of a graph. Zbl 07208718
Goddard, Wayne; Henning, Michael A.
1
2020
Thoroughly dispersed colorings. Zbl 1394.05088
Goddard, Wayne; Henning, Michael A.
8
2018
Properly colored trails, paths, and bridges. Zbl 1386.05058
Goddard, Wayne; Melville, Robert
3
2018
A note on domination and total domination in prisms. Zbl 1434.05108
Goddard, Wayne; Henning, Michael A.
3
2018
The matcher game played in graphs. Zbl 1380.05128
Goddard, Wayne; Henning, Michael A.
2
2018
The competition-independence game in trees. Zbl 1390.91072
Goddard, 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 1377.05097
Melville, Robert; Goddard, Wayne
6
2017
Coloring subgraphs with restricted amounts of hues. Zbl 1371.05081
Goddard, Wayne; Melville, Robert
1
2017
Fractional, circular, and defective coloring of series-parallel graphs. Zbl 1360.05059
Goddard, Wayne; Xu, Honghai
3
2016
Vertex colorings without rainbow subgraphs. Zbl 1350.05036
Goddard, Wayne; Xu, Honghai
2
2016
Worm colorings. Zbl 1317.05055
Goddard, Wayne; Wash, Kirsti; Xu, Honghai
5
2015
Semitotal domination in graphs. Zbl 1300.05220
Goddard, Wayne; Henning, Michael A.; McPillan, Charles A.
24
2014
A note on \(S\)-packing colorings of lattices. Zbl 1283.05095
Goddard, Wayne; Xu, Honghai
15
2014
The disjunctive domination number of a graph. Zbl 1404.05150
Goddard, Wayne; Henning, Michael A.; McPillan, Charles A.
12
2014
WORM colorings forbidding cycles or cliques. Zbl 1312.05050
Goddard, Wayne; Wash, Kirsti; Xu, Honghai
8
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.
3
2014
Independent domination in graphs: A survey and recent results. Zbl 1260.05113
Goddard, Wayne; Henning, Michael A.
66
2013
ID codes in Cartesian products of cliques. Zbl 1274.05408
Goddard, Wayne; Wash, Kirsti
9
2013
An efficient algorithm for stopping on a sink in a directed graph. Zbl 1286.05057
Goddard, Wayne; Kubicka, Ewa M.; Kubicki, Grzegorz
4
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
Daemon conversions in distributed self-stabilizing algorithms. Zbl 1379.68339
Goddard, Wayne; Srimani, Pradip K.
1
2013
Vizing’s conjecture: a survey and recent results. Zbl 1234.05173
Brešar, 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 1293.05106
Goddard, Wayne; Xu, Honghai
21
2012
On the independent domination number of regular graphs. Zbl 1256.05169
Goddard, Wayne; Henning, Michael A.; Lyle, Jeremy; Southey, Justin
19
2012
Independent dominating sets in triangle-free graphs. Zbl 1245.90134
Goddard, Wayne; Lyle, Jeremy
5
2012
Self-stabilizing master-slave token circulation and efficient size-computation in a unidirectional ring of arbitrary size. Zbl 1255.68287
Goddard, Wayne; Srimani, Pradip K.
2
2012
The algorithmic complexity of domination digraphs. Zbl 1247.05152
Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A.
1
2012
Bounds on the \(k\)-domination number of a graph. Zbl 1216.05100
DeLaViña, Ermelinda; Goddard, Wayne; Henning, Michael A.; Pepper, Ryan; Vaughan, Emil R.
14
2011
Distance in graphs. Zbl 1221.05113
Goddard, Wayne; Oellermann, Ortrud R.
12
2011
Dense graphs with small clique number. Zbl 1298.05188
Goddard, Wayne; Lyle, Jeremy
10
2011
The graph distance game. Zbl 1238.05174
Goddard, Wayne; Sinko, Anne; Slater, Peter; Xu, Honghai
1
2011
A characterization of cubic graphs with paired-domination number three-fifths their order. Zbl 1203.05117
Goddard, Wayne; Henning, Michael A.
13
2009
The binding number of a graph and its cliques. Zbl 1227.05206
Lyle, Jeremy; Goddard, Wayne
3
2009
A note on trees, tables, and algorithms. Zbl 1192.68481
Goddard, Wayne; Hedetniemi, Stephen T.
1
2009
Broadcast chromatic numbers of graphs. Zbl 1224.05172
Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Harris, John M.; Rall, Douglas F.
58
2008
Distance-\(k\) knowledge in self-stabilizing algorithms. Zbl 1146.68057
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
14
2008
On domination and reinforcement numbers in trees. Zbl 1133.05065
Blair, Jean R. S.; Goddard, Wayne; Hedetniemi, Stephen T.; Horton, Steve; Jones, Patrick; Kubicki, Grzegorz
10
2008
Automated bounds on recursive structures. Zbl 1152.90640
Goddard, Wayne
2
2008
Restricted domination parameters in graphs. Zbl 1130.05042
Goddard, Wayne; Henning, Michael A.
6
2007
Double vertex graphs and complete double vertex graphs. Zbl 1134.05090
Jacob, Jobby; Goddard, Wayne; Laskar, Renu
1
2007
Construction of trees and graphs with equal domination parameters. Zbl 1104.05053
Dorfling, Michael; Goddard, Wayne; Henning, Michael A.; Mynhardt, C. M.
21
2006
Domination in planar graphs with small diameter II. Zbl 1164.05418
Dorfling, Michael; Goddard, Wayne; Henning, Michael A.
10
2006
Distance-\(k\) information in self-stabilizing algorithms. Zbl 1222.68411
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Trevisan, Vilmar
3
2006
Simultaneous graph parameters: factor domination and factor total domination. Zbl 1102.05042
Dankelmann, Peter; Henning, Michael A.; Goddard, Wayne; Laskar, Renu
2
2006
Eternal security in graphs. Zbl 1067.05051
Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.
37
2005
Generalized subgraph-restricted matchings in graphs. Zbl 1063.05108
Goddard, 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 1073.05047
Dorfling, Michael; Goddard, Wayne; Hattingh, Johannes H.; Henning, Michael A.
8
2005
An algorithm for partial Grundy number on trees. Zbl 1077.05046
Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T.; Kennedy, Ken; Laskar, Renu; McRae, Alice
5
2005
Self-stabilizing algorithms for orderings and colorings. Zbl 1098.68140
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K.
3
2005
On the graphs with maximum distance or \(k\)-diameter. Zbl 1110.05029
Goddard, Wayne; Swart, Christine S.; Swart, Henda C.
3
2005
The average eccentricity of a graph and its subgraphs. Zbl 1051.05039
Dankelmann, Peter; Goddard, Wayne; Swart, Christine S.
41
2004
Offensive alliances in graphs. Zbl 1064.05112
Favaron, 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 1055.05113
Goddard, Wayne; Haynes, Teresa W.; Henning, Michael A.; van der Merwe, Lucas C.
27
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.
11
2004
Mastermind revisited. Zbl 1082.91003
Goddard, Wayne
8
2004
Augmenting trees to have two disjoint total dominating sets. Zbl 1057.05061
Broere, 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 1178.68384
Shi, Zhengnan; Goddard, Wayne; Hedetniemi, Stephen T.
7
2004
Minimum degree conditions for cycles including specified sets of vertices. Zbl 1053.05071
Goddard, Wayne
4
2004
Hereditary domination and independence parameters. Zbl 1065.05069
Goddard, Wayne; Haynes, Teresa; Knisley, Debra
3
2004
Clique/connected/total domination perfect graphs. Zbl 1054.05075
Goddard, Wayne; Henning, Michael A.
3
2004
Distance and connectivity measures in permutation graphs. Zbl 1022.05024
Goddard, Wayne; Raines, Michael E.; Slater, Peter J.
14
2003
Static mastermind. Zbl 1108.91018
Goddard, Wayne
11
2003
MAD trees and distance-hereditary graphs. Zbl 1022.05023
Dahlhaus, E.; Dankelmann, P.; Goddard, W.; Swart, H. C.
9
2003
A synchronous self-stabilizing minimal domination protocol in an arbitrary network graph. Zbl 1205.68081
Xu, Z.; Hedetniemi, S. T.; Goddard, W.; Srimani, P. K.
6
2003
Nordhaus–Gaddum bounds for independent domination. Zbl 1022.05057
Goddard, Wayne; Henning, Michael A.
5
2003
Self-stabilizing distributed algorithm for strong matching in a system graph. Zbl 1215.68270
Goddard, Wayne; Hedetniemi, Stephen T.; Jacobs, David P.; Srimani, Pradip K.
3
2003
Changing upper irredundance by edge addition. Zbl 1023.05106
Cockayne, E. J.; Favaron, O.; Goddard, W.; Grobler, P. J. P.; Mynhardt, C. M.
3
2003
Domination in planar graphs with small diameter. Zbl 0997.05072
Goddard, Wayne; Henning, Michael A.
23
2002
4-connected maximal planar graphs are 4-ordered. Zbl 1007.05068
Goddard, Wayne
6
2002
More measures of vulnerability: Splinter sets and directed toughness. Zbl 1026.05070
Beineke, L. W.; Goddard, W.; Vandell, R. C.
1
2002
A note on Steiner-distance-hereditary graphs. Zbl 0990.05039
Goddard, Wayne
1
2002
Pancyclicity of the prism. Zbl 1112.05313
Goddard, Wayne; Henning, Michael A.
7
2001
Multipartite Ramsey numbers. Zbl 1064.05103
Day, David; Goddard, Wayne; Henning, Michael A.; Swart, Henda C.
5
2001
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
Bipartite Ramsey numbers and Zarankiewicz numbers. Zbl 0953.05051
Goddard, Wayne; Henning, Michael A.; Oellermann, Ortrud R.
10
2000
Bounds on the total redundance and efficiency of a graph. Zbl 0993.05103
Goddard, Wayne; Oellermann, Ortrud R.; Slater, Peter J.; Swart, Henda C.
3
2000
Real and integer domination in graphs. Zbl 0928.05048
Goddard, Wayne; Henning, Michael A.
3
1999
Homogeneous embeddings of cycles in graphs. Zbl 0933.05084
Goddard, Wayne; Henning, Michael A.; Maharaj, Hiren
1
1999
Generalized eccentricity, radius, and diameter in graphs. Zbl 0946.05037
Dankelmann, Peter; Goddard, Wayne; Henning, Michael A.; Swart, Henda C.
1
1999
Weakly pancyclic graphs. Zbl 0927.05045
Brandt, Stephan; Faudree, Ralph; Goddard, Wayne
31
1998
Defective coloring revisited. Zbl 0877.05019
Cowen, Lenore; Goddard, Wayne; Jesurum, C. Esther
47
1997
Generalised domination and independence in graphs. Zbl 0901.05057
Goddard, Wayne; Henning, Michael A.
7
1997
Coloring with defect. Zbl 1321.05079
Cowen, L. J.; Goddard, W.; Jesurum, C. E.
6
1997
A note on cliques and independent sets. Zbl 0865.05051
Entringer, Roger C.; Goddard, Wayne; Henning, Michael A.
4
1997
Maximum and minimum toughness of graphs of small genus. Zbl 0874.05036
Goddard, Wayne; Plummer, Michael D.; Swart, Henda C.
3
1997
Graphs with maximum edge-integrity. Zbl 0933.05072
Beineke, Lowell W.; Goddard, Wayne; Lipman, Marc J.
2
1997
The algorithmic complexity of minus domination in graphs. Zbl 0848.05041
Dunbar, Jean; Goddard, Wayne; Hedetniemi, Stephen; McRae, Alice; Henning, Michael A.
22
1996
Distances between graphs under edge operations. Zbl 0954.05026
Goddard, Wayne; Swart, Henda C.
10
1996
Counting pairs of lattice paths by intersections. Zbl 0853.05003
Gessel, Ira; Goddard, Wayne; Shur, Walter; Wilf, Herbert S.; Yen, Lily
4
1996
The edge-integrity of Cartesian products. Zbl 0857.05060
Beineke, Lowell W.; Goddard, Wayne; Lipman, Marc J.
3
1996
The toughness of cubic graphs. Zbl 0846.05049
Goddard, Wayne
2
1996
Forcing disjoint segments in the plane. Zbl 0855.05049
Goddard, Wayne; Katchalski, Meir; Kleitman, Daniel J.
2
1996
The greatest common divisor index of a graph. Zbl 0921.05048
Chartrand, Gary; Saba, Farrokh; Goddard, Wayne; Mynhardt, Christina M.
1
1996
Mistilings with dominoes. Zbl 0829.05020
Goddard, Wayne
1
1995
Crossing families. Zbl 0804.52010
Aronov, B.; Erdős, Paul; Goddard, W.; Kleitman, Daniel J.; Klugerman, M.; Pach, János; Schulman, L. J.
19
1994
Random packings of graphs. Zbl 0795.05114
Beineke, Lowell W.; Hamburger, Peter; Goddard, Wayne D.
9
1994
Measures of vulnerability – the integrity family. Zbl 0824.90133
Goddard, Wayne
3
1994
The agreement metric for labeled binary trees. Zbl 0809.05033
Goddard, Wayne; Kubicka, Ewa; Kubicki, Grzegorz; McMorris, F. R.
3
1994
...and 24 more Documents
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
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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. Second Series
7 Algorithmica
7 Discrete & Computational Geometry
6 Applied Mathematics Letters
6 SIAM Journal on Discrete Mathematics
6 Aequationes Mathematicae
6 Journal of Discrete Mathematical Sciences & Cryptography
6 Discrete Optimization
6 Transactions on Combinatorics
5 Networks
5 The Australasian Journal of Combinatorics
5 Combinatorics, Probability and Computing
5 Communications in Combinatorics and Optimization
4 Computers & Mathematics with Applications
4 Journal of Mathematical Analysis and Applications
4 Information Sciences
4 Advances in Applied Mathematics
4 Combinatorica
4 Discrete Mathematics and Theoretical Computer Science. DMTCS
4 Acta Mathematica Sinica. English Series
4 Advances and Applications in Discrete Mathematics
3 Journal of Combinatorial Theory. Series A
3 Journal of Parallel and Distributed Computing
3 Linear Algebra and its Applications
3 Theory of Computing Systems
3 Annals of Combinatorics
2 Circuits, Systems, and Signal Processing
2 Acta Mathematica Hungarica
2 Bulletin of the Iranian Mathematical Society
2 Order
2 Annals of Operations Research
2 Journal of Mathematical Chemistry
2 Journal of Shanghai University
2 RAIRO. Operations Research
2 Journal of Applied Mathematics and Computing
2 Mathematics in Computer Science
2 Ars Mathematica Contemporanea
2 Acta Universitatis Sapientiae. Informatica
2 International Journal of Combinatorics
2 RAIRO. 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
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1 Indian Journal of Pure & Applied Mathematics
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
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1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Automatica
1 International Journal of Game Theory
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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
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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
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