Mynhardt, C. M.; Roux, A. Irredundance trees of diameter 3. (English) Zbl 1497.05061 Discrete Math. 345, No. 12, Article ID 113079, 10 p. (2022). MSC: 05C12 PDFBibTeX XMLCite \textit{C. M. Mynhardt} and \textit{A. Roux}, Discrete Math. 345, No. 12, Article ID 113079, 10 p. (2022; Zbl 1497.05061) Full Text: DOI arXiv
Ekim, Tınaz; Farley, Arthur M.; Proskurowski, Andrzej The complexity of the defensive domination problem in special graph classes. (English) Zbl 1429.05155 Discrete Math. 343, No. 2, Article ID 111665, 13 p. (2020). MSC: 05C69 05C38 68Q25 PDFBibTeX XMLCite \textit{T. Ekim} et al., Discrete Math. 343, No. 2, Article ID 111665, 13 p. (2020; Zbl 1429.05155) Full Text: DOI
Bessy, S.; Rautenbach, D. Relating broadcast independence and independence. (English) Zbl 1422.05078 Discrete Math. 342, No. 12, Article ID 111589, 7 p. (2019). MSC: 05C69 05C40 05C22 05C35 PDFBibTeX XMLCite \textit{S. Bessy} and \textit{D. Rautenbach}, Discrete Math. 342, No. 12, Article ID 111589, 7 p. (2019; Zbl 1422.05078) Full Text: DOI arXiv
Dailly, Antoine; Foucaud, Florent; Hansberg, Adriana Strengthening the Murty-Simon conjecture on diameter 2 critical graphs. (English) Zbl 1419.05059 Discrete Math. 342, No. 11, 3142-3159 (2019). MSC: 05C12 PDFBibTeX XMLCite \textit{A. Dailly} et al., Discrete Math. 342, No. 11, 3142--3159 (2019; Zbl 1419.05059) Full Text: DOI arXiv
Bessy, Stéphane; Ochem, Pascal; Rautenbach, Dieter Bounds on the exponential domination number. (English) Zbl 1351.05167 Discrete Math. 340, No. 3, 494-503 (2017). MSC: 05C69 PDFBibTeX XMLCite \textit{S. Bessy} et al., Discrete Math. 340, No. 3, 494--503 (2017; Zbl 1351.05167) Full Text: DOI arXiv
Alvarado, José D.; Dantas, Simone; Rautenbach, Dieter Perfectly relating the domination, total domination, and paired domination numbers of a graph. (English) Zbl 1310.05153 Discrete Math. 338, No. 8, 1424-1431 (2015). MSC: 05C69 PDFBibTeX XMLCite \textit{J. D. Alvarado} et al., Discrete Math. 338, No. 8, 1424--1431 (2015; Zbl 1310.05153) Full Text: DOI
Hartnell, B. L.; Mynhardt, C. M. Independent protection in graphs. (English) Zbl 1298.05248 Discrete Math. 335, 100-109 (2014). MSC: 05C69 PDFBibTeX XMLCite \textit{B. L. Hartnell} and \textit{C. M. Mynhardt}, Discrete Math. 335, 100--109 (2014; Zbl 1298.05248) Full Text: DOI
Mynhardt, C. M.; Schurch, M. A class of graphs with depression three. (English) Zbl 1277.05083 Discrete Math. 313, No. 11, 1224-1232 (2013). MSC: 05C30 05C38 PDFBibTeX XMLCite \textit{C. M. Mynhardt} and \textit{M. Schurch}, Discrete Math. 313, No. 11, 1224--1232 (2013; Zbl 1277.05083) Full Text: DOI
Southey, Justin; Henning, Michael A. Domination versus independent domination in cubic graphs. (English) Zbl 1277.05129 Discrete Math. 313, No. 11, 1212-1220 (2013). MSC: 05C69 PDFBibTeX XMLCite \textit{J. Southey} and \textit{M. A. Henning}, Discrete Math. 313, No. 11, 1212--1220 (2013; Zbl 1277.05129) Full Text: DOI
Hattingh, Johannes H.; Jafari Rad, Nader; Jafari, Sayyed Heidar; Loizeaux, Marc; Matthews, John; van der Merwe, Lucas C. Total edge critical graphs with leaves. (English) Zbl 1280.05100 Discrete Math. 312, No. 24, 3482-3488 (2012). Reviewer: Lai Chunhui (Zhangzhou) MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{J. H. Hattingh} et al., Discrete Math. 312, No. 24, 3482--3488 (2012; Zbl 1280.05100) Full Text: DOI
Henning, Michael A.; Löwenstein, Christian Locating-total domination in claw-free cubic graphs. (English) Zbl 1252.05162 Discrete Math. 312, No. 21, 3107-3116 (2012). MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{C. Löwenstein}, Discrete Math. 312, No. 21, 3107--3116 (2012; Zbl 1252.05162) Full Text: DOI
Arumugam, S.; Mathew, Varughese The fractional metric dimension of graphs. (English) Zbl 1239.05045 Discrete Math. 312, No. 9, 1584-1590 (2012). MSC: 05C12 PDFBibTeX XMLCite \textit{S. Arumugam} and \textit{V. Mathew}, Discrete Math. 312, No. 9, 1584--1590 (2012; Zbl 1239.05045) Full Text: DOI
Henning, Michael A.; van der Merwe, Lucas C. The maximum diameter of total domination edge-critical graphs. (English) Zbl 1233.05095 Discrete Math. 312, No. 2, 397-404 (2012). MSC: 05C12 05C69 05C35 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{L. C. van der Merwe}, Discrete Math. 312, No. 2, 397--404 (2012; Zbl 1233.05095) Full Text: DOI
Haynes, Teresa W.; Henning, Michael A.; Yeo, Anders On a conjecture of Murty and Simon on diameter two critical graphs. II. (English) Zbl 1232.05066 Discrete Math. 312, No. 2, 315-323 (2012). MSC: 05C12 05C35 05C69 PDFBibTeX XMLCite \textit{T. W. Haynes} et al., Discrete Math. 312, No. 2, 315--323 (2012; Zbl 1232.05066) Full Text: DOI
Haynes, Teresa W.; Henning, Michael A.; Van Der Merwe, Lucas C.; Yeo, Anders On a conjecture of Murty and Simon on diameter 2-critical graphs. (English) Zbl 1223.05050 Discrete Math. 311, No. 17, 1918-1924 (2011). MSC: 05C12 05C35 PDFBibTeX XMLCite \textit{T. W. Haynes} et al., Discrete Math. 311, No. 17, 1918--1924 (2011; Zbl 1223.05050) Full Text: DOI
Klostermeyer, William F.; Mynhardt, C. M. Graphs with equal eternal vertex cover and eternal domination numbers. (English) Zbl 1223.05232 Discrete Math. 311, No. 14, 1371-1379 (2011). MSC: 05C70 05C69 PDFBibTeX XMLCite \textit{W. F. Klostermeyer} and \textit{C. M. Mynhardt}, Discrete Math. 311, No. 14, 1371--1379 (2011; Zbl 1223.05232) Full Text: DOI
Cockayne, E. J.; Herke, S.; Mynhardt, C. M. Broadcasts and domination in trees. (English) Zbl 1222.05196 Discrete Math. 311, No. 13, 1235-1246 (2011). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 311, No. 13, 1235--1246 (2011; Zbl 1222.05196) Full Text: DOI
Haynes, Teresa W.; Henning, Michael A.; van der Merwe, Lucas C.; Yeo, Anders On the existence of \(k\)-partite or \(K_p\)-free total domination edge-critical graphs. (English) Zbl 1222.05198 Discrete Math. 311, No. 13, 1142-1149 (2011). MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{T. W. Haynes} et al., Discrete Math. 311, No. 13, 1142--1149 (2011; Zbl 1222.05198) Full Text: DOI
Desormeaux, Wyatt J.; Haynes, Teresa W.; Henning, Michael A. Total domination stable graphs upon edge addition. (English) Zbl 1209.05165 Discrete Math. 310, No. 24, 3446-3454 (2010). MSC: 05C69 PDFBibTeX XMLCite \textit{W. J. Desormeaux} et al., Discrete Math. 310, No. 24, 3446--3454 (2010; Zbl 1209.05165) Full Text: DOI
Gimbel, John; Nešetřil, Jaroslav Partitions of graphs into cographs. (English) Zbl 1209.05181 Discrete Math. 310, No. 24, 3437-3445 (2010). Reviewer: Van Bang Le (Rostock) MSC: 05C70 05C76 05C85 PDFBibTeX XMLCite \textit{J. Gimbel} and \textit{J. Nešetřil}, Discrete Math. 310, No. 24, 3437--3445 (2010; Zbl 1209.05181) Full Text: DOI
Southey, Justin; Henning, Michael A. On a conjecture on total domination in claw-free cubic graphs. (English) Zbl 1222.05203 Discrete Math. 310, No. 21, 2984-2999 (2010). MSC: 05C69 PDFBibTeX XMLCite \textit{J. Southey} and \textit{M. A. Henning}, Discrete Math. 310, No. 21, 2984--2999 (2010; Zbl 1222.05203) Full Text: DOI
Henning, Michael A. An upper bound on the paired-domination number in terms of the number of edges in the graph. (English) Zbl 1248.05139 Discrete Math. 310, No. 21, 2847-2857 (2010). MSC: 05C69 05C70 PDFBibTeX XMLCite \textit{M. A. Henning}, Discrete Math. 310, No. 21, 2847--2857 (2010; Zbl 1248.05139) Full Text: DOI
Benecke, S.; Mynhardt, C. M. Domination of generalized Cartesian products. (English) Zbl 1201.05069 Discrete Math. 310, No. 8, 1392-1397 (2010). MSC: 05C69 05C76 PDFBibTeX XMLCite \textit{S. Benecke} and \textit{C. M. Mynhardt}, Discrete Math. 310, No. 8, 1392--1397 (2010; Zbl 1201.05069) Full Text: DOI
Burger, A. P.; Mynhardt, C. M. Regular graphs are not universal fixers. (English) Zbl 1216.05098 Discrete Math. 310, No. 2, 364-368 (2010). MSC: 05C69 05C25 05A05 PDFBibTeX XMLCite \textit{A. P. Burger} and \textit{C. M. Mynhardt}, Discrete Math. 310, No. 2, 364--368 (2010; Zbl 1216.05098) Full Text: DOI
Grobler, P. J. P.; Mynhardt, C. M. Secure domination critical graphs. (English) Zbl 1189.05126 Discrete Math. 309, No. 19, 5820-5827 (2009). MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{P. J. P. Grobler} and \textit{C. M. Mynhardt}, Discrete Math. 309, No. 19, 5820--5827 (2009; Zbl 1189.05126) Full Text: DOI
Haynes, Teresa W.; Henning, Michael A.; Zhang, Ping A survey of stratified domination in graphs. (English) Zbl 1189.05129 Discrete Math. 309, No. 19, 5806-5819 (2009). MSC: 05C69 05C15 PDFBibTeX XMLCite \textit{T. W. Haynes} et al., Discrete Math. 309, No. 19, 5806--5819 (2009; Zbl 1189.05129) Full Text: DOI
Burger, Alewyn P.; Henning, Michael A.; Van Vuuren, Jan H. On the ratios between packing and domination parameters of a graph. (English) Zbl 1211.05103 Discrete Math. 309, No. 8, 2473-2478 (2009). MSC: 05C69 PDFBibTeX XMLCite \textit{A. P. Burger} et al., Discrete Math. 309, No. 8, 2473--2478 (2009; Zbl 1211.05103) Full Text: DOI
Gaber-Rosenblum, Iris; Roditty, Yehuda The depression of a graph and the diameter of its line graph. (English) Zbl 1205.05066 Discrete Math. 309, No. 6, 1774-1778 (2009). MSC: 05C12 05C76 PDFBibTeX XMLCite \textit{I. Gaber-Rosenblum} and \textit{Y. Roditty}, Discrete Math. 309, No. 6, 1774--1778 (2009; Zbl 1205.05066) Full Text: DOI
Xu, Baogen On signed cycle domination in graphs. (English) Zbl 1180.05082 Discrete Math. 309, No. 4, 1007-1012 (2009). MSC: 05C69 05C38 05C22 PDFBibTeX XMLCite \textit{B. Xu}, Discrete Math. 309, No. 4, 1007--1012 (2009; Zbl 1180.05082) Full Text: DOI
Cockayne, E. J.; Gibson, R. G.; Mynhardt, C. M. Claw-free graphs are not universal fixers. (English) Zbl 1219.05116 Discrete Math. 309, No. 1, 128-133 (2009). MSC: 05C69 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 309, No. 1, 128--133 (2009; Zbl 1219.05116) Full Text: DOI
Henning, Michael A. A survey of selected recent results on total domination in graphs. (English) Zbl 1219.05121 Discrete Math. 309, No. 1, 32-63 (2009). MSC: 05C69 05-02 PDFBibTeX XMLCite \textit{M. A. Henning}, Discrete Math. 309, No. 1, 32--63 (2009; Zbl 1219.05121) Full Text: DOI
Bell, Jordan; Stevens, Brett A survey of known results and research areas for \(n\)-queens. (English) Zbl 1228.05002 Discrete Math. 309, No. 1, 1-31 (2009). MSC: 05-02 05-03 01A55 05C85 PDFBibTeX XMLCite \textit{J. Bell} and \textit{B. Stevens}, Discrete Math. 309, No. 1, 1--31 (2009; Zbl 1228.05002) Full Text: DOI
Cockayne, E. J.; Favaron, O.; Finbow, S.; Mynhardt, C. M. Open irredundance and maximum degree in graphs. (English) Zbl 1207.05095 Discrete Math. 308, No. 23, 5358-5375 (2008). MSC: 05C35 05C69 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 308, No. 23, 5358--5375 (2008; Zbl 1207.05095) Full Text: DOI
Gibson, R. G. Bipartite graphs are not universal fixers. (English) Zbl 1181.05068 Discrete Math. 308, No. 24, 5937-5943 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{R. G. Gibson}, Discrete Math. 308, No. 24, 5937--5943 (2008; Zbl 1181.05068) Full Text: DOI
Samodivkin, Vladimir Changing and unchanging of the domination number of a graph. (English) Zbl 1157.05044 Discrete Math. 308, No. 22, 5015-5025 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{V. Samodivkin}, Discrete Math. 308, No. 22, 5015--5025 (2008; Zbl 1157.05044) Full Text: DOI
Henning, M. A.; Maritz, J. E. Total restrained domination in graphs with minimum degree two. (English) Zbl 1226.05195 Discrete Math. 308, No. 10, 1909-1920 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{J. E. Maritz}, Discrete Math. 308, No. 10, 1909--1920 (2008; Zbl 1226.05195) Full Text: DOI
Chen, Weidong; Song, Enmin Lower bounds on several versions of signed domination number. (English) Zbl 1168.05343 Discrete Math. 308, No. 10, 1837-1846 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{W. Chen} and \textit{E. Song}, Discrete Math. 308, No. 10, 1837--1846 (2008; Zbl 1168.05343) Full Text: DOI
Sinko, Anne; Slater, Peter J. Queen’s domination using border squares and \((A,B)\)-restricted domination. (English) Zbl 1159.05042 Discrete Math. 308, No. 20, 4822-4828 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{A. Sinko} and \textit{P. J. Slater}, Discrete Math. 308, No. 20, 4822--4828 (2008; Zbl 1159.05042) Full Text: DOI
Favaron, Odile; Henning, Michael A. Bounds on total domination in claw-free cubic graphs. (English) Zbl 1190.05089 Discrete Math. 308, No. 16, 3491-3507 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{O. Favaron} and \textit{M. A. Henning}, Discrete Math. 308, No. 16, 3491--3507 (2008; Zbl 1190.05089) Full Text: DOI
Hou, Xinmin A characterization of \((2\gamma ,\gamma _{\text p})\)-trees. (English) Zbl 1165.05023 Discrete Math. 308, No. 15, 3420-3426 (2008). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{X. Hou}, Discrete Math. 308, No. 15, 3420--3426 (2008; Zbl 1165.05023) Full Text: DOI
Favaron, Odile; Henning, Michael A. Total domination in claw-free graphs with minimum degree 2. (English) Zbl 1158.05044 Discrete Math. 308, No. 15, 3213-3219 (2008). MSC: 05C69 PDFBibTeX XMLCite \textit{O. Favaron} and \textit{M. A. Henning}, Discrete Math. 308, No. 15, 3213--3219 (2008; Zbl 1158.05044) Full Text: DOI
Goldwasser, John L.; Klostermeyer, William F. Tight bounds for eternal dominating sets in graphs. (English) Zbl 1169.05035 Discrete Math. 308, No. 12, 2589-2593 (2008). MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{J. L. Goldwasser} and \textit{W. F. Klostermeyer}, Discrete Math. 308, No. 12, 2589--2593 (2008; Zbl 1169.05035) Full Text: DOI
Mynhardt, C. M. Trees with depression three. (English) Zbl 1149.05042 Discrete Math. 308, No. 5-6, 855-864 (2008). Reviewer: László A. Székely (Columbia) MSC: 05C78 05C38 05C05 PDFBibTeX XMLCite \textit{C. M. Mynhardt}, Discrete Math. 308, No. 5--6, 855--864 (2008; Zbl 1149.05042) Full Text: DOI
Blair, Jean R. S.; Goddard, Wayne; Hedetniemi, Stephen T.; Horton, Steve; Jones, Patrick; Kubicki, Grzegorz On domination and reinforcement numbers in trees. (English) Zbl 1133.05065 Discrete Math. 308, No. 7, 1165-1175 (2008). MSC: 05C69 05C05 05C85 PDFBibTeX XMLCite \textit{J. R. S. Blair} et al., Discrete Math. 308, No. 7, 1165--1175 (2008; Zbl 1133.05065) Full Text: DOI
Rubalcaba, Robert R.; Slater, Peter J. Roman dominating influence parameters. (English) Zbl 1127.05075 Discrete Math. 307, No. 24, 3194-3200 (2007). MSC: 05C69 PDFBibTeX XMLCite \textit{R. R. Rubalcaba} and \textit{P. J. Slater}, Discrete Math. 307, No. 24, 3194--3200 (2007; Zbl 1127.05075) Full Text: DOI
Dankelmann, Peter; Day, David; Hattingh, Johannes H.; Henning, Michael A.; Markus, Lisa R.; Swart, Henda C. On equality in an upper bound for the restrained and total domination numbers of a graph. (English) Zbl 1138.05049 Discrete Math. 307, No. 22, 2845-2852 (2007). Reviewer: Dan S. Archdeacon (Burlington) MSC: 05C69 PDFBibTeX XMLCite \textit{P. Dankelmann} et al., Discrete Math. 307, No. 22, 2845--2852 (2007; Zbl 1138.05049) Full Text: DOI
Haviland, Julie Upper bounds for independent domination in regular graphs. (English) Zbl 1127.05072 Discrete Math. 307, No. 21, 2643-2646 (2007). MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{J. Haviland}, Discrete Math. 307, No. 21, 2643--2646 (2007; Zbl 1127.05072) Full Text: DOI
Burton, Tamara; Sumner, David P. \(\gamma\)-excellent, critically dominated, end-dominated, and dot-critical trees are equivalent. (English) Zbl 1113.05073 Discrete Math. 307, No. 6, 683-693 (2007). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{T. Burton} and \textit{D. P. Sumner}, Discrete Math. 307, No. 6, 683--693 (2007; Zbl 1113.05073) Full Text: DOI
Cockayne, E. J. Irredundance, secure domination and maximum degree in trees. (English) Zbl 1233.05143 Discrete Math. 307, No. 1, 12-17 (2007). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{E. J. Cockayne}, Discrete Math. 307, No. 1, 12--17 (2007; Zbl 1233.05143) Full Text: DOI
Dorfling, Michael; Goddard, Wayne; Henning, Michael A.; Mynhardt, C. M. Construction of trees and graphs with equal domination parameters. (English) Zbl 1104.05053 Discrete Math. 306, No. 21, 2647-2654 (2006). MSC: 05C69 PDFBibTeX XMLCite \textit{M. Dorfling} et al., Discrete Math. 306, No. 21, 2647--2654 (2006; Zbl 1104.05053) Full Text: DOI
Blidia, Mostafa; Chellali, Mustapha; Maffray, Frédéric Extremal graphs for a new upper bound on domination parameters in graphs. (English) Zbl 1103.05041 Discrete Math. 306, No. 19-20, 2314-2326 (2006). Reviewer: Hang Tong Lau (Montréal) MSC: 05C35 05C69 PDFBibTeX XMLCite \textit{M. Blidia} et al., Discrete Math. 306, No. 19--20, 2314--2326 (2006; Zbl 1103.05041) Full Text: DOI
Fischermann, Miranca; Volkmann, Lutz; Zverovich, Igor Unique irredundance, domination and independent domination in graphs. (English) Zbl 1080.05066 Discrete Math. 305, No. 1-3, 190-200 (2005). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C69 PDFBibTeX XMLCite \textit{M. Fischermann} et al., Discrete Math. 305, No. 1--3, 190--200 (2005; Zbl 1080.05066) Full Text: DOI
Domke, Gayla S.; Hattingh, Johannes H.; Markus, Lisa R. On weakly connected domination in graphs. II. (English) Zbl 1078.05064 Discrete Math. 305, No. 1-3, 112-122 (2005). MSC: 05C69 PDFBibTeX XMLCite \textit{G. S. Domke} et al., Discrete Math. 305, No. 1--3, 112--122 (2005; Zbl 1078.05064) Full Text: DOI
Haynes, Teresa W.; Henning, Michael A. Trees with two disjoint minimum independent dominating sets. (English) Zbl 1077.05076 Discrete Math. 304, No. 1-3, 69-78 (2005). MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{T. W. Haynes} and \textit{M. A. Henning}, Discrete Math. 304, No. 1--3, 69--78 (2005; Zbl 1077.05076) Full Text: DOI
Finbow, S. A lower bound for the CO-irredundance number of a graph. (English) Zbl 1075.05067 Discrete Math. 295, No. 1-3, 49-62 (2005). Reviewer: Ralph Faudree (Memphis) MSC: 05C69 05C55 05C35 PDFBibTeX XMLCite \textit{S. Finbow}, Discrete Math. 295, No. 1--3, 49--62 (2005; Zbl 1075.05067) Full Text: DOI
Xu, Baogen On edge domination numbers of graphs. (English) Zbl 1062.05116 Discrete Math. 294, No. 3, 311-316 (2005). MSC: 05C69 PDFBibTeX XMLCite \textit{B. Xu}, Discrete Math. 294, No. 3, 311--316 (2005; Zbl 1062.05116) Full Text: DOI
Mynhardt, C. M.; Burger, A. P.; Clark, T. C.; Falvai, B.; Henderson, N. D. R. Altitude of regular graphs with girth at least five. (English) Zbl 1062.05131 Discrete Math. 294, No. 3, 241-257 (2005). MSC: 05C78 05C15 05C38 PDFBibTeX XMLCite \textit{C. M. Mynhardt} et al., Discrete Math. 294, No. 3, 241--257 (2005; Zbl 1062.05131) Full Text: DOI
Henning, Michael A. Restricted total domination in graphs. (English) Zbl 1055.05116 Discrete Math. 289, No. 1-3, 25-44 (2004). MSC: 05C69 PDFBibTeX XMLCite \textit{M. A. Henning}, Discrete Math. 289, No. 1--3, 25--44 (2004; Zbl 1055.05116) Full Text: DOI
Haas, Ruth; Wexler, Thomas B. Signed domination numbers of a graph and its complement. (English) Zbl 1042.05071 Discrete Math. 283, No. 1-3, 87-92 (2004). MSC: 05C69 PDFBibTeX XMLCite \textit{R. Haas} and \textit{T. B. Wexler}, Discrete Math. 283, No. 1--3, 87--92 (2004; Zbl 1042.05071) Full Text: DOI
Ananchuen, Nawarat; Plummer, Michael D. Matching properties in domination critical graphs. (English) Zbl 1033.05076 Discrete Math. 277, No. 1-3, 1-13 (2004); errata ibid. 306, 291 (2006). MSC: 05C69 05C70 PDFBibTeX XMLCite \textit{N. Ananchuen} and \textit{M. D. Plummer}, Discrete Math. 277, No. 1--3, 1--13 (2004; Zbl 1033.05076) Full Text: DOI
Henning, Michael A. Signed total domination in graphs. (English) Zbl 1036.05035 Discrete Math. 278, No. 1-3, 109-125 (2004). Reviewer: Bohdan Zelinka (Liberec) MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{M. A. Henning}, Discrete Math. 278, No. 1--3, 109--125 (2004; Zbl 1036.05035) Full Text: DOI
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M. On \(i^{-}\)-ER-critical graphs. (English) Zbl 1031.05093 Discrete Math. 276, No. 1-3, 111-125 (2004). MSC: 05C69 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 276, No. 1--3, 111--125 (2004; Zbl 1031.05093) Full Text: DOI
Adams, Peter; Bryant, Darryn; Maenhaut, Barbara Common multiples of complete graphs and a 4-cycle. (English) Zbl 1030.05095 Discrete Math. 275, No. 1-3, 289-297 (2004). MSC: 05C70 05C38 PDFBibTeX XMLCite \textit{P. Adams} et al., Discrete Math. 275, No. 1--3, 289--297 (2004; Zbl 1030.05095) Full Text: DOI
Henning, Michael A.; Oellermann, Ortrud R. On upper domination Ramsey numbers for graphs. (English) Zbl 1037.05034 Discrete Math. 274, No. 1-3, 125-135 (2004). Reviewer: Jack E. Graver (Syracuse) MSC: 05C55 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{O. R. Oellermann}, Discrete Math. 274, No. 1--3, 125--135 (2004; Zbl 1037.05034) Full Text: DOI
Haynes, Teresa W.; Henning, Michael A. Changing and unchanging domination: A classification. (English) Zbl 1029.05116 Discrete Math. 272, No. 1, 65-79 (2003). MSC: 05C69 PDFBibTeX XMLCite \textit{T. W. Haynes} and \textit{M. A. Henning}, Discrete Math. 272, No. 1, 65--79 (2003; Zbl 1029.05116) Full Text: DOI
Goddard, Wayne; Henning, Michael A. Nordhaus–Gaddum bounds for independent domination. (English) Zbl 1022.05057 Discrete Math. 268, No. 1-3, 299-302 (2003). MSC: 05C69 PDFBibTeX XMLCite \textit{W. Goddard} and \textit{M. A. Henning}, Discrete Math. 268, No. 1--3, 299--302 (2003; Zbl 1022.05057) Full Text: DOI
Cockayne, E. J.; Favaron, O.; Goddard, W.; Grobler, P. J. P.; Mynhardt, C. M. Changing upper irredundance by edge addition. (English) Zbl 1023.05106 Discrete Math. 266, No. 1-3, 185-193 (2003). Reviewer: Gregory Gutin (Egham) MSC: 05C69 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 266, No. 1--3, 185--193 (2003; Zbl 1023.05106) Full Text: DOI
Burger, A. P.; Mynhardt, C. M. An improved upper bound for queens domination numbers. (English) Zbl 1015.05066 Discrete Math. 266, No. 1-3, 119-131 (2003). Reviewer: Patric R.J.Östergård (Helsinki) MSC: 05C69 PDFBibTeX XMLCite \textit{A. P. Burger} and \textit{C. M. Mynhardt}, Discrete Math. 266, No. 1--3, 119--131 (2003; Zbl 1015.05066) Full Text: DOI
Lam, Peter Che Bor; Shiu, Wai Chee; Sun, Liang On independent domination number of regular graphs. (English) Zbl 0934.05098 Discrete Math. 202, No. 1-3, 135-144 (1999). Reviewer: Bohdan Zelinka (Liberec) MSC: 05C69 05C35 PDFBibTeX XMLCite \textit{P. C. B. Lam} et al., Discrete Math. 202, No. 1--3, 135--144 (1999; Zbl 0934.05098) Full Text: DOI
Rautenbach, Dieter On the differences between the upper irredundance, upper domination and independence numbers of a graph. (English) Zbl 0932.05071 Discrete Math. 203, No. 1-3, 239-252 (1999). MSC: 05C69 PDFBibTeX XMLCite \textit{D. Rautenbach}, Discrete Math. 203, No. 1--3, 239--252 (1999; Zbl 0932.05071) Full Text: DOI
Favaron, Odile; Puech, Joël Irredundant and perfect neighborhood sets in graphs and claw-free graphs. (English) Zbl 0957.05081 Discrete Math. 197-198, 269-284 (1999). Reviewer: Lane Clark (Carbondale) MSC: 05C69 PDFBibTeX XMLCite \textit{O. Favaron} and \textit{J. Puech}, Discrete Math. 197--198, 269--284 (1999; Zbl 0957.05081) Full Text: DOI
Fricke, Gerd H.; Haynes, Teresa W.; Hedetniemi, Sandra; Hedetniemi, Stephen T.; Henning, Michael A. On perfect neighborhood sets in graphs. (English) Zbl 0928.05047 Discrete Math. 199, No. 1-3, 221-225 (1999). Reviewer: Bohdan Zelinka (Liberec) MSC: 05C69 05C70 PDFBibTeX XMLCite \textit{G. H. Fricke} et al., Discrete Math. 199, No. 1--3, 221--225 (1999; Zbl 0928.05047) Full Text: DOI
Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; McRae, Alice Minus domination in graphs. (English) Zbl 0928.05046 Discrete Math. 199, No. 1-3, 35-47 (1999). Reviewer: Bohdan Zelinka (Liberec) MSC: 05C69 05C05 PDFBibTeX XMLCite \textit{J. Dunbar} et al., Discrete Math. 199, No. 1--3, 35--47 (1999; Zbl 0928.05046) Full Text: DOI
Mihók, Peter; Bucko, Jozef; Voigt, Margit On uniquely partitionable planar graphs. (English) Zbl 0957.05029 Discrete Math. 191, No. 1-3, 149-158 (1998). MSC: 05C10 05C15 PDFBibTeX XMLCite \textit{P. Mihók} et al., Discrete Math. 191, No. 1--3, 149--158 (1998; Zbl 0957.05029) Full Text: DOI
Zhou, Sanming Interpolation theorems for graphs, hypergraphs and matroids. (English) Zbl 0955.05107 Discrete Math. 185, No. 1-3, 221-229 (1998). MSC: 05C99 05B35 PDFBibTeX XMLCite \textit{S. Zhou}, Discrete Math. 185, No. 1--3, 221--229 (1998; Zbl 0955.05107) Full Text: DOI
Krivelevich, Michael A lower bound for irredundant Ramsey numbers. (English) Zbl 0896.05044 Discrete Math. 183, No. 1-3, 185-192 (1998). Reviewer: J.E.Graver (Syracuse) MSC: 05C55 PDFBibTeX XMLCite \textit{M. Krivelevich}, Discrete Math. 183, No. 1--3, 185--192 (1998; Zbl 0896.05044) Full Text: DOI
Hattingh, Johannes H.; Ungerer, Elna The signed and minus \(k\)-subdomination numbers of comets. (English) Zbl 0893.05005 Discrete Math. 183, No. 1-3, 141-152 (1998). Reviewer: B.Zelinka (Liberec) MSC: 05C35 05C05 PDFBibTeX XMLCite \textit{J. H. Hattingh} and \textit{E. Ungerer}, Discrete Math. 183, No. 1--3, 141--152 (1998; Zbl 0893.05005) Full Text: DOI
Favaron, Odile; Puech, Joël Irredundance in grids. (English) Zbl 0887.05026 Discrete Math. 179, No. 1-3, 257-265 (1998). Reviewer: W.G.Brown (Montreal) MSC: 05C35 PDFBibTeX XMLCite \textit{O. Favaron} and \textit{J. Puech}, Discrete Math. 179, No. 1--3, 257--265 (1998; Zbl 0887.05026) Full Text: DOI
Achlioptas, D.; Brown, J. I.; Corneil, D. G.; Molloy, M. S. O. The existence of uniquely \(-G\) colourable graphs. (English) Zbl 0885.05062 Discrete Math. 179, No. 1-3, 1-11 (1998). Reviewer: I.Tomescu (Bucureşti) MSC: 05C15 05C65 PDFBibTeX XMLCite \textit{D. Achlioptas} et al., Discrete Math. 179, No. 1--3, 1--11 (1998; Zbl 0885.05062) Full Text: DOI
Cockayne, E. J.; Hattingh, J. H.; Hedetniemi, S. M.; Hedetniemi, S. T.; McRae, A. A. Using maximality and minimality conditions to construct inequality chains. (English) Zbl 0887.05031 Discrete Math. 176, No. 1-3, 43-61 (1997). Reviewer: E.J.F.Primrose (Leicester) MSC: 05C35 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 176, No. 1--3, 43--61 (1997; Zbl 0887.05031) Full Text: DOI
Hattingh, Johannes H.; Ungerer, Elna Minus \(k\)-subdomination in graphs. II. (English) Zbl 0876.05043 Discrete Math. 171, No. 1-3, 141-151 (1997). Reviewer: W.G.Brown (Montreal) MSC: 05C35 05C70 05C05 PDFBibTeX XMLCite \textit{J. H. Hattingh} and \textit{E. Ungerer}, Discrete Math. 171, No. 1--3, 141--151 (1997; Zbl 0876.05043) Full Text: DOI
Burger, A. P.; Cockayne, E. J.; Mynhardt, C. M. Domination and irredundance in the queens’ graph. (English) Zbl 0873.05055 Discrete Math. 163, No. 1-3, 47-66 (1997). Reviewer: Ma Zhongfan (Beijing) MSC: 05C35 PDFBibTeX XMLCite \textit{A. P. Burger} et al., Discrete Math. 163, No. 1--3, 47--66 (1997; Zbl 0873.05055) Full Text: DOI
Domke, Gayla S.; Laskar, Renu C. The bondage and reinforcement numbers of \(\gamma_ f\) for some graphs. (English) Zbl 0872.05022 Discrete Math. 167-168, 249-259 (1997). Reviewer: C.Jagger (Cambridge) MSC: 05C35 PDFBibTeX XMLCite \textit{G. S. Domke} and \textit{R. C. Laskar}, Discrete Math. 167--168, 249--259 (1997; Zbl 0872.05022) Full Text: DOI
Cockayne, E. J.; Mynhardt, C. M. Domination and irredundance in cubic graphs. (English) Zbl 0873.05056 Discrete Math. 167-168, 205-214 (1997). Reviewer: Ma Zhongfan (Beijing) MSC: 05C35 PDFBibTeX XMLCite \textit{E. J. Cockayne} and \textit{C. M. Mynhardt}, Discrete Math. 167--168, 205--214 (1997; Zbl 0873.05056) Full Text: DOI
Beineke, Lowell W.; Henning, Michael A. Opinion functions on trees. (English) Zbl 0883.05039 Discrete Math. 167-168, 127-139 (1997). Reviewer: P.Kirschenhofer (Leoben) MSC: 05C05 PDFBibTeX XMLCite \textit{L. W. Beineke} and \textit{M. A. Henning}, Discrete Math. 167--168, 127--139 (1997; Zbl 0883.05039) Full Text: DOI
Cockayne, E. J.; Favaron, O.; Mynhardt, C. M. Universal maximal packing functions of graphs. (English) Zbl 0860.05060 Discrete Math. 159, No. 1-3, 57-68 (1996). Reviewer: J.W.Moon (Edmonton) MSC: 05C70 05C35 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 159, No. 1--3, 57--68 (1996; Zbl 0860.05060) Full Text: DOI
Henning, Michael A.; Slater, Peter J. Inequalities relating domination parameters in cubic graphs. (English) Zbl 0858.05058 Discrete Math. 158, No. 1-3, 87-98 (1996). Reviewer: B.Zelinka (Liberec) MSC: 05C35 PDFBibTeX XMLCite \textit{M. A. Henning} and \textit{P. J. Slater}, Discrete Math. 158, No. 1--3, 87--98 (1996; Zbl 0858.05058) Full Text: DOI
Arugay, Esperanza Blancaflor; Gervacio, Severino Villanueva On path-chromatically unique graphs. (English) Zbl 0852.05050 Discrete Math. 151, No. 1-3, 49-53 (1996). MSC: 05C15 PDFBibTeX XMLCite \textit{E. B. Arugay} and \textit{S. V. Gervacio}, Discrete Math. 151, No. 1--3, 49--53 (1996; Zbl 0852.05050) Full Text: DOI
Mihók, Peter On the minimal reducible bound for outerplanar and planar graphs. (English) Zbl 0911.05043 Discrete Math. 150, No. 1-3, 431-435 (1996). MSC: 05C35 05C10 PDFBibTeX XMLCite \textit{P. Mihók}, Discrete Math. 150, No. 1--3, 431--435 (1996; Zbl 0911.05043) Full Text: DOI
Henning, Michael A. Irredundance perfect graphs. (English) Zbl 0832.05059 Discrete Math. 142, No. 1-3, 107-120 (1995). Reviewer: O.R.Oellermann (Killarney) MSC: 05C35 05C75 05C15 PDFBibTeX XMLCite \textit{M. A. Henning}, Discrete Math. 142, No. 1--3, 107--120 (1995; Zbl 0832.05059) Full Text: DOI
Haviland, Julie Independent domination in regular graphs. (English) Zbl 0838.05065 Discrete Math. 143, No. 1-3, 275-280 (1995). Reviewer: P.Kirschenhofer (Wien) MSC: 05C35 PDFBibTeX XMLCite \textit{J. Haviland}, Discrete Math. 143, No. 1--3, 275--280 (1995; Zbl 0838.05065) Full Text: DOI
Cockayne, E. J.; Mynhardt, C. M. A characterisation of universal minimal total dominating functions in trees. (English) Zbl 0824.05034 Discrete Math. 141, No. 1-3, 75-84 (1995). Reviewer: B.Zelinka (Liberec) MSC: 05C35 05C05 05C75 PDFBibTeX XMLCite \textit{E. J. Cockayne} and \textit{C. M. Mynhardt}, Discrete Math. 141, No. 1--3, 75--84 (1995; Zbl 0824.05034) Full Text: DOI
Stacey, Alan Universal minimal total dominating functions of trees. (English) Zbl 0824.05036 Discrete Math. 140, No. 1-3, 287-290 (1995). Reviewer: M.Škoviera (Bratislava) MSC: 05C35 05C05 PDFBibTeX XMLCite \textit{A. Stacey}, Discrete Math. 140, No. 1--3, 287--290 (1995; Zbl 0824.05036) Full Text: DOI
Dunbar, Jean E.; Harris, Frederick C. jun.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A.; Laskar, Renu C. Nearly perfect sets in graphs. (English) Zbl 0816.68092 Discrete Math. 138, No. 1-3, 229-246 (1995). MSC: 68R10 68Q25 05C35 05C75 PDFBibTeX XMLCite \textit{J. E. Dunbar} et al., Discrete Math. 138, No. 1--3, 229--246 (1995; Zbl 0816.68092) Full Text: DOI
Cockayne, E. J.; Fricke, G.; Mynhardt, C. M. On a Nordhaus-Gaddum type problem for independent domination. (English) Zbl 0820.05039 Discrete Math. 138, No. 1-3, 199-205 (1995). Reviewer: B.Zelinka (Liberec) MSC: 05C35 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 138, No. 1--3, 199--205 (1995; Zbl 0820.05039) Full Text: DOI
Broere, Izak; Hattingh, Johannes H.; Henning, Michael A.; McRae, Alice A. Majority domination in graphs. (English) Zbl 0820.05037 Discrete Math. 138, No. 1-3, 125-135 (1995). Reviewer: B.Zelinka (Liberec) MSC: 05C35 68R10 68Q25 PDFBibTeX XMLCite \textit{I. Broere} et al., Discrete Math. 138, No. 1--3, 125--135 (1995; Zbl 0820.05037) Full Text: DOI
Cockayne, E. J.; MacGillivray, G.; Mynhardt, C. M. Convexity of minimal dominating functions of trees. II. (English) Zbl 0793.05117 Discrete Math. 125, No. 1-3, 137-146 (1994). MSC: 05C99 05C05 PDFBibTeX XMLCite \textit{E. J. Cockayne} et al., Discrete Math. 125, No. 1--3, 137--146 (1994; Zbl 0793.05117) Full Text: DOI
Cockayne, E. J.; Mynhardt, C. M. The sequence of upper and lower domination, independence and irredundance numbers of a graph. (English) Zbl 0788.05055 Discrete Math. 122, No. 1-3, 89-102 (1993). Reviewer: B.Zelinka (Liberec) MSC: 05C35 PDFBibTeX XMLCite \textit{E. J. Cockayne} and \textit{C. M. Mynhardt}, Discrete Math. 122, No. 1--3, 89--102 (1993; Zbl 0788.05055) Full Text: DOI
Sampathkumar, E. Generalizations of independence and chromatic numbers of a graph. (English) Zbl 0774.05041 Discrete Math. 115, No. 1-3, 245-251 (1993). Reviewer: T.R.Walsh (Montreal) MSC: 05C15 PDFBibTeX XMLCite \textit{E. Sampathkumar}, Discrete Math. 115, No. 1--3, 245--251 (1993; Zbl 0774.05041) Full Text: DOI
Goddard, Wayne Acyclic colorings of planar graphs. (English) Zbl 0742.05041 Discrete Math. 91, No. 1, 91-94 (1991). Reviewer: Ioan Tomescu (Bucureşti) MSC: 05C15 05C10 05C05 PDFBibTeX XMLCite \textit{W. Goddard}, Discrete Math. 91, No. 1, 91--94 (1991; Zbl 0742.05041) Full Text: DOI