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Mynhardt, Christina Magdalena

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Author ID: mynhardt.christina-m Recent zbMATH articles by "Mynhardt, Christina Magdalena"
Published as: Mynhardt, C. M.; Mynhardt, Christina M.; Mynhardt, Christine; Mynhardt, Kieka (C. M.); Mynhardt, Christina; Mynhardt, Kieka; Mynhardt, C. M. Kieka; Mynhardt, Cristine M.; Mynhart, Christina M.
External Links: MGP · Wikidata · dblp
Documents Indexed: 172 Publications since 1979
Co-Authors: 73 Co-Authors with 156 Joint Publications
1,208 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

139 Publications have been cited 887 times in 419 Documents Cited by Year
Secure domination, weak Roman domination and forbidden subgraphs. Zbl 1051.05065
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M.
35
2003
Infinite order domination in graphs. Zbl 1052.05054
Burger, A. P.; Cockayne, E. J.; Gründlingh, W. R.; Mynhardt, C. M.; van Vuuren, J. H.; Winterbach, W.
35
2004
Total domination edge critical graphs. Zbl 0918.05069
van der Merwe, L. C.; Mynhardt, C. M.; Haynes, T. W.
29
1998
Secure domination and secure total domination in graphs. Zbl 1156.05043
Klostermeyer, William F.; Mynhardt, Christina M.
25
2008
Protecting a graph with mobile guards. Zbl 1461.05157
Klostermeyer, William F.; Mynhardt, C. M.
24
2016
Total domination in graphs with minimum degree three. Zbl 0945.05047
Favaron, Odile; Henning, Michael A.; Mynhart, Christina M.; Puech, Joël
23
2000
On a generalization of signed dominating functions of graphs. Zbl 0881.05060
Cockayne, E. J.; Mynhardt, C. M.
23
1996
Construction of trees and graphs with equal domination parameters. Zbl 1104.05053
Dorfling, Michael; Goddard, Wayne; Henning, Michael A.; Mynhardt, C. M.
22
2006
Finite order domination in graphs. Zbl 1052.05053
Burger, A. P.; Cockayne, E. J.; Gründlingh, W. R.; Mynhardt, C. M.; van Vuuren, J. H.; Winterbach, W.
21
2004
Excellent trees and secure domination. Zbl 1071.05058
Mynhardt, C. M.; Swart, H. C.; Ungerer, E.
20
2005
Generalized colorings of outerplanar and planar graphs. Zbl 0571.05017
Broere, I.; Mynhardt, C. M.
19
1985
Vertices contained in every minimum dominating set of a tree. Zbl 0931.05063
Mynhardt, C. M.
17
1999
Reinforcement in graphs. Zbl 0862.05071
Kok, J.; Mynhardt, C. M.
17
1990
Total domination edge critical graphs with maximum diameter. Zbl 1007.05077
van der Merwe, Lucas C.; Mynhardt, Cristine M.; Haynes, Theresa W.
16
2001
Radial trees. Zbl 1221.05051
Herke, S.; Mynhardt, C. M.
14
2009
Secure domination critical graphs. Zbl 1189.05126
Grobler, P. J. P.; Mynhardt, C. M.
14
2009
Criticality index of total domination. Zbl 0951.05081
van der Merwe, Lucas C.; Mynhardt, Christina M.; Haynes, Teresa W.
13
1998
Total domination edge critical graphs with minimum diameter. Zbl 1072.05557
van der Merwe, L. C.; Mynhardt, C. M.; Haynes, T. W.
13
2003
On the product of upper irredundance numbers of a graph and its complement. Zbl 0672.05049
Cockayne, E. J.; Mynhardt, C. M.
12
1989
A characterization of \((\gamma,i)\)-trees. Zbl 0949.05059
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M.; Puech, J.
12
2000
The sequence of upper and lower domination, independence and irredundance numbers of a graph. Zbl 0788.05055
Cockayne, E. J.; Mynhardt, C. M.
12
1993
Vertices contained in all or in no minimum total dominating set of a tree. Zbl 1013.05054
Cockayne, Ernest J.; Henning, Michael A.; Mynhardt, Christina M.
11
2003
Eternal protection in grid graphs. Zbl 1300.05177
Goldwasser, John L.; Klostermeyer, William F.; Mynhardt, C. M.
11
2013
Graphs with equal eternal vertex cover and eternal domination numbers. Zbl 1223.05232
Klostermeyer, William F.; Mynhardt, C. M.
11
2011
Edge protection in graphs. Zbl 1207.05141
Klostermeyer, William F.; Mynhardt, C. M.
11
2009
Secure total domination in graphs. Zbl 1183.05055
Benecke, S.; Cockayne, E. J.; Mynhardt, C. M.
11
2007
3-domination critical graphs with arbitrary independent domination numbers. Zbl 0944.05074
van der Merwe, L. C.; Mynhardt, C. M.; Haynes, T. W.
10
1999
Irredundance and maximum degree in graphs. Zbl 0881.05068
Cockayne, E. J.; Mynhardt, C. M.
10
1997
Broadcasts and domination in trees. Zbl 1222.05196
Cockayne, E. J.; Herke, S.; Mynhardt, C. M.
10
2011
The diameter of paired-domination vertex critical graphs. Zbl 1174.05093
Henning, Michael A.; Mynhardt, Christina M.
9
2008
New bounds for the broadcast domination number of a graph. Zbl 1266.05109
Brewster, Richard C.; Mynhardt, Christina M.; Teshima, Laura E.
9
2013
On a Nordhaus-Gaddum type problem for independent domination. Zbl 0820.05039
Cockayne, E. J.; Fricke, G.; Mynhardt, C. M.
9
1995
On the domination number of prisms of graphs. Zbl 1064.05111
Burger, Alewyn; Mynhardt, Christina M.; Weakley, William D.
8
2004
Vertex covers and eternal dominating sets. Zbl 1408.05099
Klostermeyer, William F.; Mynhardt, C. M.
8
2012
Eternal total domination in graphs. Zbl 1289.05351
Klostermeyer, William F.; Mynhardt, Christina M.
7
2012
Altitude of small complete and complete bipartite graphs. Zbl 1080.05046
Burger, A. P.; Cockayne, E. J.; Mynhardt, C. M.
7
2005
Altitude of regular graphs with girth at least five. Zbl 1062.05131
Mynhardt, C. M.; Burger, A. P.; Clark, T. C.; Falvai, B.; Henderson, N. D. R.
7
2005
Broadcasts and multipackings in trees. Zbl 1383.05242
Mynhardt, C. M.; Teshima, L. E.
7
2017
Domination critical graphs with higher independent domination numbers. Zbl 0852.05053
Ao, S.; Cockayne, E. J.; MacGillivray, G.; Mynhardt, C. M.
7
1996
Properties of minimal dominating functions of graphs. Zbl 0840.05090
Cockayne, E. J.; Fricke, G.; Hedetniemi, S. T.; Mynhardt, C. M.
7
1995
On the difference between broadcast and multipacking numbers of graphs. Zbl 1300.05224
Hartnell, B. L.; Mynhardt, C. M.
6
2014
The irredundant Ramsey number s(3,6). Zbl 0707.05047
Brewster, R. C.; Cockayne, E. J.; Mynhardt, C. M.
6
1990
On equality in an upper bound for domination parameters of graphs. Zbl 0872.05025
Favaron, O.; Mynhardt, C. M.
6
1997
Domination and irredundance in the queens’ graph. Zbl 0873.05055
Burger, A. P.; Cockayne, E. J.; Mynhardt, C. M.
6
1997
Domination in prisms of graphs: universal fixers. Zbl 1284.05199
Mynhardt, C. M.; Xu, Zhixia
6
2009
On generalised minimal domination parameters for paths. Zbl 0744.05056
Bollobás, Béla; Cockayne, E. J.; Mynhardt, C. M.
6
1990
Independence and domination in 3-connected cubic graphs. Zbl 0763.05094
Cockayne, E. J.; Mynhardt, C. M.
6
1991
Total dominating functions in trees: Minimality and convexity. Zbl 0819.05035
Cockayne, E. J.; Mynhardt, C. M.; Yu, Bo
6
1995
Trees with domination subdivision number one. Zbl 1153.05018
Benecke, S.; Mynhardt, C. M.
6
2008
Universal minimal total dominating functions in graphs. Zbl 0804.90122
Cockayne, E. J.; Mynhardt, C. M.; Yu, Bo
6
1994
Domination numbers for the queen’s graph. Zbl 0805.05042
Burger, A. P.; Mynhardt, C. M.; Cockayne, E. J.
6
1994
Irredundant Ramsey numbers for graphs. Zbl 0692.05044
Brewster, R. C.; Cockayne, E. J.; Mynhardt, C. M.
5
1989
Altitude of \(K_{3,n}\). Zbl 1073.05062
Cochayne, E. J.; Mynhardt, C. M.
5
2005
An upper bound for the minimum number of queens covering the \(n {\times} n\) chessboard. Zbl 0993.05105
Burger, A. P.; Mynhardt, C. M.
5
2002
An improved upper bound for queens domination numbers. Zbl 1015.05066
Burger, A. P.; Mynhardt, C. M.
5
2003
On the sizes of least common multiples of several pairs of graphs. Zbl 0881.05104
Favaron, O.; Mynhardt, C. M.
5
1996
Diameter of paired domination edge-critical graphs. Zbl 1169.05032
Edwards, M.; Gibson, R. G.; Henning, M. A.; Mynhardt, C. M.
5
2008
A class of trees with equal broadcast and domination numbers. Zbl 1276.05029
Mynhardt, C. M.; Wodlinger, J.
5
2013
A note on some variations of the \(\gamma\)-graph. Zbl 1390.05173
Mynhardt, C. M.; Teshima, L. E.
5
2018
The depression of a graph. Zbl 1111.05086
Cockayne, E. J.; Geldenhuys, G.; Grobler, P. J. P.; Mynhardt, C. M.; van Vuuren, J. H.
5
2006
On the difference between the domination and independent domination numbers of cubic graphs. Zbl 0840.05038
Mynhardt, Christine
5
1991
The irredundant Ramsey number s(3,7). Zbl 0728.05047
Cockayne, E. J.; Hattingh, J. H.; Mynhardt, C. M.
4
1991
On 1-dependent Ramsey numbers for graphs. Zbl 0932.05061
Cockayne, E. J.; Mynhardt, C. M.
4
1999
Nordhaus-Gaddum results for CO-irredundance in graphs. Zbl 0948.05037
Cockayne, E. J.; McCrea, D.; Mynhardt, C. M.
4
2000
Symmetry and domination in queens graphs. Zbl 0954.05034
Burger, A. P.; Mynhardt, C. M.
4
2000
Properties of dominating sets of the queens graph \(Q_{4k+3}\). Zbl 0955.05076
Burger, A. P.; Mynhardt, C. M.
4
2000
Irredundant and perfect neighbourhood sets in trees. Zbl 0955.05027
Cockayne, E. J.; Hedetniemi, S. M.; Hedetniemi, S. T.; Mynhardt, C. M.
4
1998
Domination and irredundance in cubic graphs. Zbl 0873.05056
Cockayne, E. J.; Mynhardt, C. M.
4
1997
Vertex criticality for upper domination and irredundance. Zbl 0992.05057
Grobler, P. J. P.; Mynhardt, C. M.
4
2001
More trees with equal broadcast and domination numbers. Zbl 1309.05139
Lunney, S.; Mynhardt, C. M.
4
2015
Generalised maximal independence parameters for paths and cycles. Zbl 0757.05097
Cockayne, E. J.; MacGillivray, G.; Mynhardt, C. M.
4
1990
The irredundant Ramsey number \(s(4,4)\). Zbl 0771.05070
Cockayne, E. J.; Exoo, G.; Hattingh, J. H.; Mynhardt, C. M.
4
1992
Bounds for independent Roman domination in graphs. Zbl 1247.05154
Targhi, E. Ebrahimi; Rad, N. Jafari; Mynhardt, C. M.; Wu, Y.
4
2012
On the sizes of least common multiples of paths versus complete graphs. Zbl 0822.05062
Mynhardt, C. M.; Saba, F.
4
1994
Queens graphs for chessboards on the torus. Zbl 0979.05080
Burger, A. P.; Mynhardt, C. M.; Cockayne, E. J.
4
2001
Critical graphs with respect to vertex identification. Zbl 1170.05035
Frick, Marietjie; Fricke, Gerd H.; Mynhardt, Christina M.; Skaggs, R. Duane
3
2008
On two conjectures concerning 3-domination-critical graphs. Zbl 0952.05054
Mynhardt, C. M.
3
1998
On graphs with a unique least common multiple. Zbl 0933.05131
Chartrand, Gary; Kubicki, Grzegorz; Mynhardt, Christina M.; Saba, Farrokh
3
1997
Queens on hexagonal boards. Zbl 0944.05068
Burger, A. P.; Mynhardt, C. M.
3
1999
On a conjecture concerning irredundant and perfect neighbourhood sets in graphs. Zbl 0949.05060
Cockayne, E. J.; Mynhardt, C. M.
3
1999
Upper domination parameters and edge-critical graphs. Zbl 0959.05084
Grobler, P. J. P.; Mynhardt, C. M.
3
2000
Domination parameters and edge-removal-critical graphs. Zbl 0973.05056
Grobler, P. J. P.; Mynhardt, C. M.
3
2001
Total domination in claw-free cubic graphs. Zbl 1011.05043
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M.
3
2002
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
On least common multiples of digraphs. Zbl 0853.05060
Chartrand, Gary; Mynhardt, Christina M.; Saba, Farrokh
3
1996
The domination number of the toroidal queens graph of size \(3k\times 3k\). Zbl 1030.05094
Burger, A. P.; Mynhardt, C. M.; Weakley, William D.
3
2003
Trees with depression three. Zbl 1149.05042
Mynhardt, C. M.
3
2008
Domination, eternal domination, and clique covering. Zbl 1311.05151
Klostermeyer, William F.; Mynhardt, C. M.
3
2015
Domination of generalized Cartesian products. Zbl 1201.05069
Benecke, S.; Mynhardt, C. M.
3
2010
Domination sequences of graphs. Zbl 0772.05051
Cockayne, E. J.; Mynhardt, C. M.
3
1992
On the product of \(k\)-minimal domination numbers of a graph and its complement. Zbl 0745.05055
Cockayne, E. J.; Mynhardt, C. M.
3
1990
Open irredundance and maximum degree in graphs. Zbl 1207.05095
Cockayne, E. J.; Favaron, O.; Finbow, S.; Mynhardt, C. M.
3
2008
Reconfiguration of colourings and dominating sets in graphs. Zbl 1451.05118
Mynhardt, C. M.; Nasserasr, S.
3
2020
Connected \(k\)-dominating graphs. Zbl 1400.05177
Mynhardt, C. M.; Teshima, L. E.; Roux, A.
3
2019
A characterisation of universal minimal total dominating functions in trees. Zbl 0824.05034
Cockayne, E. J.; Mynhardt, C. M.
3
1995
Convexity of minimal dominating functions of trees. Zbl 0839.05030
Cockayne, E. J.; McGillivray, G.; Mynhardt, C. M.
3
1995
A lower bound for the depression of trees. Zbl 1094.05018
Cockayne, E. J.; Mynhardt, C. M.
3
2006
The irredundant Ramsey number \(s(3,3,3)=13\). Zbl 0807.05057
Cockayne, E. J.; Mynhardt, C. M.
3
1994
On the irredundant Ramsey number s(3,3,3). Zbl 0714.05045
Cockayne, E. J.; Mynhardt, C. M.
2
1990
Mixed Ramsey numbers and irredundant Turán numbers for graphs. Zbl 0714.05046
Cockayne, E. J.; Hattingh, J. H.; Kok, J.; Mynhardt, C. M.
2
1990
Block graphs with large paired domination multisubdivision number. Zbl 1458.05202
Mynhardt, Christina M.; Raczek, Joanna
1
2021
Reconfiguration of colourings and dominating sets in graphs. Zbl 1451.05118
Mynhardt, C. M.; Nasserasr, S.
3
2020
Total Roman domination edge-supercritical and edge-removal-supercritical graphs. Zbl 1453.05092
Mynhardt, C. M.; Ogden, S. E. A.
1
2020
Connected \(k\)-dominating graphs. Zbl 1400.05177
Mynhardt, C. M.; Teshima, L. E.; Roux, A.
3
2019
Total Roman domination edge-critical graphs. Zbl 1432.05072
Lampman, Chloe; Mynhardt, Kieka (C. M.); Ogden, Shannon
2
2019
On \(k\)-total dominating graphs. Zbl 1411.05196
Alikhani, S.; Fatehi, David; Mynhardt, C. M.
1
2019
A note on some variations of the \(\gamma\)-graph. Zbl 1390.05173
Mynhardt, C. M.; Teshima, L. E.
5
2018
Broadcasts and multipackings in trees. Zbl 1383.05242
Mynhardt, C. M.; Teshima, L. E.
7
2017
Dominating and irredundant broadcasts in graphs. Zbl 1355.05189
Mynhardt, C. M.; Roux, A.
2
2017
Broadcasts in graphs: diametrical trees. Zbl 1375.05195
Gemmrich, L.; Mynhardt, C. M.
2
2017
Protecting a graph with mobile guards. Zbl 1461.05157
Klostermeyer, William F.; Mynhardt, C. M.
24
2016
More trees with equal broadcast and domination numbers. Zbl 1309.05139
Lunney, S.; Mynhardt, C. M.
4
2015
Domination, eternal domination, and clique covering. Zbl 1311.05151
Klostermeyer, William F.; Mynhardt, C. M.
3
2015
Uniquely radial trees. Zbl 1326.05109
Mynhardt, C. M.; Wodlinger, J.
2
2015
On the difference between broadcast and multipacking numbers of graphs. Zbl 1300.05224
Hartnell, B. L.; Mynhardt, C. M.
6
2014
Independent protection in graphs. Zbl 1298.05248
Hartnell, B. L.; Mynhardt, C. M.
1
2014
Secure paired domination in graphs. Zbl 1309.05135
Kang, Jian; Mynhardt, C. M.
1
2014
Eternal protection in grid graphs. Zbl 1300.05177
Goldwasser, John L.; Klostermeyer, William F.; Mynhardt, C. M.
11
2013
New bounds for the broadcast domination number of a graph. Zbl 1266.05109
Brewster, Richard C.; Mynhardt, Christina M.; Teshima, Laura E.
9
2013
A class of trees with equal broadcast and domination numbers. Zbl 1276.05029
Mynhardt, C. M.; Wodlinger, J.
5
2013
A class of graphs with depression three. Zbl 1277.05083
Mynhardt, C. M.; Schurch, M.
1
2013
Vertex covers and eternal dominating sets. Zbl 1408.05099
Klostermeyer, William F.; Mynhardt, C. M.
8
2012
Eternal total domination in graphs. Zbl 1289.05351
Klostermeyer, William F.; Mynhardt, Christina M.
7
2012
Bounds for independent Roman domination in graphs. Zbl 1247.05154
Targhi, E. Ebrahimi; Rad, N. Jafari; Mynhardt, C. M.; Wu, Y.
4
2012
Graphs with equal eternal vertex cover and eternal domination numbers. Zbl 1223.05232
Klostermeyer, William F.; Mynhardt, C. M.
11
2011
Broadcasts and domination in trees. Zbl 1222.05196
Cockayne, E. J.; Herke, S.; Mynhardt, C. M.
10
2011
Paired domination in prisms of graphs. Zbl 1238.05201
Mynhardt, Christina M.; Schurch, Mark
2
2011
Domination of generalized Cartesian products. Zbl 1201.05069
Benecke, S.; Mynhardt, C. M.
3
2010
Regular graphs are not universal fixers. Zbl 1216.05098
Burger, A. P.; Mynhardt, C. M.
2
2010
Radial trees. Zbl 1221.05051
Herke, S.; Mynhardt, C. M.
14
2009
Secure domination critical graphs. Zbl 1189.05126
Grobler, P. J. P.; Mynhardt, C. M.
14
2009
Edge protection in graphs. Zbl 1207.05141
Klostermeyer, William F.; Mynhardt, C. M.
11
2009
Domination in prisms of graphs: universal fixers. Zbl 1284.05199
Mynhardt, C. M.; Xu, Zhixia
6
2009
Claw-free graphs are not universal fixers. Zbl 1219.05116
Cockayne, E. J.; Gibson, R. G.; Mynhardt, C. M.
2
2009
Secure domination and secure total domination in graphs. Zbl 1156.05043
Klostermeyer, William F.; Mynhardt, Christina M.
25
2008
The diameter of paired-domination vertex critical graphs. Zbl 1174.05093
Henning, Michael A.; Mynhardt, Christina M.
9
2008
Trees with domination subdivision number one. Zbl 1153.05018
Benecke, S.; Mynhardt, C. M.
6
2008
Diameter of paired domination edge-critical graphs. Zbl 1169.05032
Edwards, M.; Gibson, R. G.; Henning, M. A.; Mynhardt, C. M.
5
2008
Critical graphs with respect to vertex identification. Zbl 1170.05035
Frick, Marietjie; Fricke, Gerd H.; Mynhardt, Christina M.; Skaggs, R. Duane
3
2008
Trees with depression three. Zbl 1149.05042
Mynhardt, C. M.
3
2008
Open irredundance and maximum degree in graphs. Zbl 1207.05095
Cockayne, E. J.; Favaron, O.; Finbow, S.; Mynhardt, C. M.
3
2008
Secure total domination in graphs. Zbl 1183.05055
Benecke, S.; Cockayne, E. J.; Mynhardt, C. M.
11
2007
Construction of trees and graphs with equal domination parameters. Zbl 1104.05053
Dorfling, Michael; Goddard, Wayne; Henning, Michael A.; Mynhardt, C. M.
22
2006
The depression of a graph. Zbl 1111.05086
Cockayne, E. J.; Geldenhuys, G.; Grobler, P. J. P.; Mynhardt, C. M.; van Vuuren, J. H.
5
2006
A lower bound for the depression of trees. Zbl 1094.05018
Cockayne, E. J.; Mynhardt, C. M.
3
2006
Excellent trees and secure domination. Zbl 1071.05058
Mynhardt, C. M.; Swart, H. C.; Ungerer, E.
20
2005
Altitude of small complete and complete bipartite graphs. Zbl 1080.05046
Burger, A. P.; Cockayne, E. J.; Mynhardt, C. M.
7
2005
Altitude of regular graphs with girth at least five. Zbl 1062.05131
Mynhardt, C. M.; Burger, A. P.; Clark, T. C.; Falvai, B.; Henderson, N. D. R.
7
2005
Altitude of \(K_{3,n}\). Zbl 1073.05062
Cochayne, E. J.; Mynhardt, C. M.
5
2005
Infinite order domination in graphs. Zbl 1052.05054
Burger, A. P.; Cockayne, E. J.; Gründlingh, W. R.; Mynhardt, C. M.; van Vuuren, J. H.; Winterbach, W.
35
2004
Finite order domination in graphs. Zbl 1052.05053
Burger, A. P.; Cockayne, E. J.; Gründlingh, W. R.; Mynhardt, C. M.; van Vuuren, J. H.; Winterbach, W.
21
2004
On the domination number of prisms of graphs. Zbl 1064.05111
Burger, Alewyn; Mynhardt, Christina M.; Weakley, William D.
8
2004
Regular solutions of the \(n\)-queens problem on the torus. Zbl 1052.05057
Burger, A. P.; Mynhardt, C. M.; Cockayne, E. J.
1
2004
Altitude of 4-regular circulants. Zbl 1073.05061
Clark, T. C.; Falvai, B.; Hendersonand, D. R.; Mynhardt, C. M.
1
2004
Total domination in \(K_ r\)-covered graphs. Zbl 1078.05063
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M.
1
2004
Secure domination, weak Roman domination and forbidden subgraphs. Zbl 1051.05065
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M.
35
2003
Total domination edge critical graphs with minimum diameter. Zbl 1072.05557
van der Merwe, L. C.; Mynhardt, C. M.; Haynes, T. W.
13
2003
Vertices contained in all or in no minimum total dominating set of a tree. Zbl 1013.05054
Cockayne, Ernest J.; Henning, Michael A.; Mynhardt, Christina M.
11
2003
An improved upper bound for queens domination numbers. Zbl 1015.05066
Burger, A. P.; Mynhardt, C. M.
5
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
The domination number of the toroidal queens graph of size \(3k\times 3k\). Zbl 1030.05094
Burger, A. P.; Mynhardt, C. M.; Weakley, William D.
3
2003
Upper bounds for the domination numbers of toroidal queens graphs. Zbl 1035.05066
Mynhardt, Christina M.
2
2003
An upper bound for the minimum number of queens covering the \(n {\times} n\) chessboard. Zbl 0993.05105
Burger, A. P.; Mynhardt, C. M.
5
2002
Total domination in claw-free cubic graphs. Zbl 1011.05043
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M.
3
2002
Total domination edge critical graphs with maximum diameter. Zbl 1007.05077
van der Merwe, Lucas C.; Mynhardt, Cristine M.; Haynes, Theresa W.
16
2001
Vertex criticality for upper domination and irredundance. Zbl 0992.05057
Grobler, P. J. P.; Mynhardt, C. M.
4
2001
Queens graphs for chessboards on the torus. Zbl 0979.05080
Burger, A. P.; Mynhardt, C. M.; Cockayne, E. J.
4
2001
Domination parameters and edge-removal-critical graphs. Zbl 0973.05056
Grobler, P. J. P.; Mynhardt, C. M.
3
2001
Properties of queens graphs and the irredundance number of \(Q_7\). Zbl 0966.05054
Cockayne, E. J.; Mynhardt, C. M.
2
2001
Ramsey properties of generalised irredundant sets in graphs. Zbl 0977.05089
Cockayne, E. J.; Favaron, O.; Grobler, P. J. P.; Mynhardt, C. M.; Puech, J.
2
2001
Irredundance-edge-removal-critical graphs. Zbl 1012.05126
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M.
1
2001
Total domination in graphs with minimum degree three. Zbl 0945.05047
Favaron, Odile; Henning, Michael A.; Mynhart, Christina M.; Puech, Joël
23
2000
A characterization of \((\gamma,i)\)-trees. Zbl 0949.05059
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M.; Puech, J.
12
2000
Nordhaus-Gaddum results for CO-irredundance in graphs. Zbl 0948.05037
Cockayne, E. J.; McCrea, D.; Mynhardt, C. M.
4
2000
Symmetry and domination in queens graphs. Zbl 0954.05034
Burger, A. P.; Mynhardt, C. M.
4
2000
Properties of dominating sets of the queens graph \(Q_{4k+3}\). Zbl 0955.05076
Burger, A. P.; Mynhardt, C. M.
4
2000
Upper domination parameters and edge-critical graphs. Zbl 0959.05084
Grobler, P. J. P.; Mynhardt, C. M.
3
2000
The CO-irredundant Ramsey number \(t(4,7)\). Zbl 0956.05073
Cockayne, E. J.; Mynhardt, C. M.; Simmons, J.
2
2000
Small irredundance numbers for queens graphs. Zbl 0959.05083
Burger, A. P.; Mynhardt, C. M.
2
2000
Vertices contained in every minimum dominating set of a tree. Zbl 0931.05063
Mynhardt, C. M.
17
1999
3-domination critical graphs with arbitrary independent domination numbers. Zbl 0944.05074
van der Merwe, L. C.; Mynhardt, C. M.; Haynes, T. W.
10
1999
On 1-dependent Ramsey numbers for graphs. Zbl 0932.05061
Cockayne, E. J.; Mynhardt, C. M.
4
1999
Queens on hexagonal boards. Zbl 0944.05068
Burger, A. P.; Mynhardt, C. M.
3
1999
On a conjecture concerning irredundant and perfect neighbourhood sets in graphs. Zbl 0949.05060
Cockayne, E. J.; Mynhardt, C. M.
3
1999
Total domination edge critical graphs. Zbl 0918.05069
van der Merwe, L. C.; Mynhardt, C. M.; Haynes, T. W.
29
1998
Criticality index of total domination. Zbl 0951.05081
van der Merwe, Lucas C.; Mynhardt, Christina M.; Haynes, Teresa W.
13
1998
Irredundant and perfect neighbourhood sets in trees. Zbl 0955.05027
Cockayne, E. J.; Hedetniemi, S. M.; Hedetniemi, S. T.; Mynhardt, C. M.
4
1998
On two conjectures concerning 3-domination-critical graphs. Zbl 0952.05054
Mynhardt, C. M.
3
1998
Packing, perfect neighbourhood, irredundant and \(R\)-annihilated sets in graphs. Zbl 0916.05042
Cockayne, E. J.; Favaron, O.; Puech, J.; Mynhardt, C. M.
2
1998
Domination-related parameters. Zbl 0907.05027
Cockayne, E. J.; Mynhardt, C. M.
1
1998
An inequality chain of domination parameters for trees. Zbl 0914.05058
Cockayne, E. J.; Favaron, O.; Puech, J.; Mynhardt, C. M.
1
1998
Irredundance and maximum degree in graphs. Zbl 0881.05068
Cockayne, E. J.; Mynhardt, C. M.
10
1997
On equality in an upper bound for domination parameters of graphs. Zbl 0872.05025
Favaron, O.; Mynhardt, C. M.
6
1997
Domination and irredundance in the queens’ graph. Zbl 0873.05055
Burger, A. P.; Cockayne, E. J.; Mynhardt, C. M.
6
1997
Domination and irredundance in cubic graphs. Zbl 0873.05056
Cockayne, E. J.; Mynhardt, C. M.
4
1997
On graphs with a unique least common multiple. Zbl 0933.05131
Chartrand, Gary; Kubicki, Grzegorz; Mynhardt, Christina M.; Saba, Farrokh
3
1997
Minimality and convexity of dominating and related functions in graphs: A unifying theory. Zbl 0883.05078
Cockayne, E. J.; Mynhardt, C. M.
2
1997
Triangle-free graphs with unequal upper domination and irredundance numbers. Zbl 0881.05069
Cockayne, E. J.; Mynhardt, C. M.
1
1997
On a generalization of signed dominating functions of graphs. Zbl 0881.05060
Cockayne, E. J.; Mynhardt, C. M.
23
1996
Domination critical graphs with higher independent domination numbers. Zbl 0852.05053
Ao, S.; Cockayne, E. J.; MacGillivray, G.; Mynhardt, C. M.
7
1996
...and 39 more Documents
all top 5

Cited by 511 Authors

78 Henning, Michael Anthony
42 Mynhardt, Christina Magdalena
27 Haynes, Teresa W.
21 Cockayne, Ernest J.
14 Hedetniemi, Stephen Travis
14 Klostermeyer, William F.
12 Favaron, Odile
12 Yeo, Anders
10 Goddard, Wayne Dean
10 Hattingh, Johannes H.
9 Burger, Alewyn Petrus
9 Jafari Rad, Nader
9 MacGillivray, Gary
9 Southey, Justin
8 Chellali, Mustapha
8 McRae, Alice A.
7 Dettlaff, Magda
7 Lemańska, Magdalena
7 Rautenbach, Dieter
7 Rodríguez-Velazquez, Juan Alberto
7 van der Merwe, Lucas C.
6 Desormeaux, Wyatt J.
6 Pushpam, P. Roushini Leely
6 Yero, Ismael Gonzalez
5 Arumugam, Subramanian
5 Ekim, Tınaz
5 Finbow, Stephen
5 Gimbel, John G.
5 Hedetniemi, Sandra Lee Mitchell
5 Kang, Liying
5 Raczek, Joanna
5 Shan, Erfang
5 Sheikholeslami, Seyed Mahmoud
4 Cabrera Martínez, Abel
4 Chen, Xuegang
4 de Villiers, Anton Pierre
4 Fernau, Henning
4 Kratsch, Dieter
4 Lu, Changhong
4 Mc Inerney, Fionn
4 Messinger, Margaret-Ellen
4 Mondal, Sukumar
4 Nisse, Nicolas
4 Pérennes, Stéphane
4 Sun, Liang
4 Suseendran, Chitra
4 van Vuuren, Jan Harm
4 Volkmann, Lutz
4 Xu, Baogen
4 Xu, Junming
3 Araki, Toru
3 Barman, Sambhu Charan
3 Bessy, Stéphane
3 Bouchemakh, Isma
3 Branković, Ljiljana
3 Brešar, Boštjan
3 Brewster, Richard C.
3 Brown, Jason Ira
3 Canoy, Sergio Rosales jun.
3 Chang, Gerard Jennhwa
3 Charon, Irène
3 Cohen, Nathann
3 Dantas, Simone
3 Dorbec, Paul
3 Foucaud, Florent
3 Golovach, Petr A.
3 Grobler, P. J. P.
3 Hartnell, Bert L.
3 Hu, Futao
3 Hudry, Olivier
3 Jha, Anupriya
3 Klavžar, Sandi
3 Laskar, Renu Chakravarti
3 Li, Zepeng
3 Liedloff, Mathieu
3 Lobstein, Antoine-Christophe
3 Lu, You
3 Pal, Madhumangal
3 Puech, Joël
3 Slater, Peter James
3 Wang, Changping
3 Xu, Jin
3 Yi, Eunjeong
3 Zuazua, Rita Esther
3 Żyliński, Paweł
2 Ahangar, Hossein Abdollahzadeh
2 Ait-Ferhat, Dehia
2 Alvarado, José D.
2 Amjadi, Jafar
2 Atapour, Maryam
2 Babu, Jasine
2 Bazgan, Cristina
2 Cáceres, José
2 Casel, Katrin
2 Chen, Lei
2 Corneil, Derek Gordon
2 Divya Rashmi, S. V.
2 Domke, Gayla S.
2 Dunbar, Jean E.
2 Fang, Qizhi
...and 411 more Authors
all top 5

Cited in 75 Serials

104 Discrete Mathematics
68 Discrete Applied Mathematics
21 Graphs and Combinatorics
17 Journal of Combinatorial Optimization
15 Discussiones Mathematicae. Graph Theory
14 Discrete Mathematics, Algorithms and Applications
11 Theoretical Computer Science
10 Quaestiones Mathematicae
9 Information Processing Letters
9 Journal of Graph Theory
8 AKCE International Journal of Graphs and Combinatorics
7 The Australasian Journal of Combinatorics
6 Central European Journal of Mathematics
6 Discrete Optimization
5 Czechoslovak Mathematical Journal
5 Journal of Discrete Mathematical Sciences & Cryptography
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Advances and Applications in Discrete Mathematics
3 Algorithmica
3 Applied Mathematics Letters
3 The Electronic Journal of Combinatorics
3 Opuscula Mathematica
3 Journal of Applied Mathematics and Computing
3 AIMS Mathematics
2 Journal of Combinatorial Theory. Series B
2 European Journal of Combinatorics
2 Annals of Combinatorics
2 Cryptography and Communications
2 RAIRO. Theoretical Informatics and Applications
2 Transactions on Combinatorics
1 Computers & Mathematics with Applications
1 Israel Journal of Mathematics
1 Rocky Mountain Journal of Mathematics
1 International Journal of Game Theory
1 Networks
1 Operations Research Letters
1 Combinatorica
1 Acta Mathematica Hungarica
1 Acta Mathematicae Applicatae Sinica. English Series
1 Journal of Complexity
1 Discrete & Computational Geometry
1 The Annals of Applied Probability
1 Aequationes Mathematicae
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Applied Mathematics. Series B (English Edition)
1 Filomat
1 Computer Science Journal of Moldova
1 Taiwanese Journal of Mathematics
1 Soft Computing
1 Journal of Graph Algorithms and Applications
1 Journal of Shanghai University
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Discrete Dynamics in Nature and Society
1 Integers
1 Iranian Journal of Science and Technology. Transaction A: Science
1 South East Asian Journal of Mathematics and Mathematical Sciences
1 Journal of Discrete Algorithms
1 Cubo
1 New Mathematics and Natural Computation
1 Mathematics in Computer Science
1 Applicable Analysis and Discrete Mathematics
1 Asian-European Journal of Mathematics
1 Acta Universitatis Sapientiae. Informatica
1 Algorithms
1 International Journal of Combinatorics
1 Journal of Mathematics
1 Electronic Journal of Graph Theory and Applications
1 Journal of Optimization
1 Communications in Combinatorics and Optimization
1 Ural Mathematical Journal
1 DML. Discrete Mathematics Letters

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