Oh, Seungsang Number of dominating sets in cylindric square grid graphs. (English) Zbl 1469.05079 Graphs Comb. 37, No. 4, 1357-1372 (2021). MSC: 05C30 05C69 05C31 PDF BibTeX XML Cite \textit{S. Oh}, Graphs Comb. 37, No. 4, 1357--1372 (2021; Zbl 1469.05079) Full Text: DOI OpenURL
Jokanović, Dušan; Miklavič, Štefko; Milićević, Marina; Šparl, Primož Domination in rose window graphs. (English) Zbl 1458.05198 Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 509-526 (2021). MSC: 05C69 05C25 PDF BibTeX XML Cite \textit{D. Jokanović} et al., Bull. Malays. Math. Sci. Soc. (2) 44, No. 1, 509--526 (2021; Zbl 1458.05198) Full Text: DOI OpenURL
Mahmoodi, A.; Asgharsharghi, L. Outer-paired domination in graphs. (English) Zbl 1458.05199 Discrete Math. Algorithms Appl. 12, No. 6, Article ID 2050072, 11 p. (2020). MSC: 05C69 PDF BibTeX XML Cite \textit{A. Mahmoodi} and \textit{L. Asgharsharghi}, Discrete Math. Algorithms Appl. 12, No. 6, Article ID 2050072, 11 p. (2020; Zbl 1458.05199) Full Text: DOI OpenURL
Harris, Pamela E.; Insko, Erik; Johnson, Katie Projects in \((t,r)\) broadcast domination. (English) Zbl 1447.05154 Harris, Pamela E. (ed.) et al., A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. Found. Undergrad. Res. Math., 235-262 (2020). MSC: 05C69 05C90 PDF BibTeX XML Cite \textit{P. E. Harris} et al., in: A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. 235--262 (2020; Zbl 1447.05154) Full Text: DOI OpenURL
Finbow, S.; van Bommel, M. F. The eternal domination number for \(3\times n\) grid graphs. (English) Zbl 1439.05177 Australas. J. Comb. 76, Part 1, 1-23 (2020). MSC: 05C69 05C30 PDF BibTeX XML Cite \textit{S. Finbow} and \textit{M. F. van Bommel}, Australas. J. Comb. 76, Part 1, 1--23 (2020; Zbl 1439.05177) Full Text: Link OpenURL
Harris, Pamela E.; Luque, Dalia K.; Flores, Claudia Reyes; Sepulveda, Nohemi Efficient \(( t , r )\) broadcast dominating sets of the triangular lattice. (English) Zbl 1445.05078 Discrete Appl. Math. 277, 180-192 (2020). Reviewer: Aleksandra Tepeh (Duplek) MSC: 05C69 PDF BibTeX XML Cite \textit{P. E. Harris} et al., Discrete Appl. Math. 277, 180--192 (2020; Zbl 1445.05078) Full Text: DOI OpenURL
Chellali, Mustapha; Haynes, Teresa W.; Hedetniemi, Stephen T. \(k\)-efficient partitions of graphs. (English) Zbl 1438.05190 Commun. Comb. Optim. 4, No. 2, 109-122 (2019). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Chellali} et al., Commun. Comb. Optim. 4, No. 2, 109--122 (2019; Zbl 1438.05190) Full Text: DOI OpenURL
Drews, Benjamin F.; Harris, Pamela E.; Randolph, Timothy W. Optimal \((t, r)\) broadcasts on the infinite grid. (English) Zbl 1405.05133 Discrete Appl. Math. 255, 183-197 (2019). MSC: 05C69 05C82 PDF BibTeX XML Cite \textit{B. F. Drews} et al., Discrete Appl. Math. 255, 183--197 (2019; Zbl 1405.05133) Full Text: DOI arXiv OpenURL
Kraner Šumenjak, Tadeja; Rall, Douglas F.; Tepeh, Aleksandra On \(k\)-rainbow independent domination in graphs. (English) Zbl 1427.05162 Appl. Math. Comput. 333, 353-361 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{T. Kraner Šumenjak} et al., Appl. Math. Comput. 333, 353--361 (2018; Zbl 1427.05162) Full Text: DOI arXiv OpenURL
Zhao, Weisheng; Zhang, Heping Upper bounds on the bondage number of the strong product of a graph and a tree. (English) Zbl 1390.05183 Int. J. Comput. Math. 95, No. 3, 511-527 (2018). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{W. Zhao} and \textit{H. Zhang}, Int. J. Comput. Math. 95, No. 3, 511--527 (2018; Zbl 1390.05183) Full Text: DOI OpenURL
Pei, Li-Dan; Pan, Xiang-Feng; Hu, Fu-Tao Some improved inequalities related to Vizing’s conjecture. (English) Zbl 1476.05159 Inf. Process. Lett. 135, 85-91 (2018). MSC: 05C69 PDF BibTeX XML Cite \textit{L.-D. Pei} et al., Inf. Process. Lett. 135, 85--91 (2018; Zbl 1476.05159) Full Text: DOI OpenURL
Klostermeyer, William F.; Messinger, Margaret-Ellen; Ayello, Alejandro Angeli Disjoint dominating sets with a perfect matching. (English) Zbl 1386.05134 Discrete Math. Algorithms Appl. 9, No. 5, Article ID 1750065, 20 p. (2017). MSC: 05C69 PDF BibTeX XML Cite \textit{W. F. Klostermeyer} et al., Discrete Math. Algorithms Appl. 9, No. 5, Article ID 1750065, 20 p. (2017; Zbl 1386.05134) Full Text: DOI arXiv OpenURL
Chen, Qin; Zhao, Chengye; Zhao, Min Dominator colorings of certain Cartesian products of paths and cycles. (English) Zbl 1367.05156 Graphs Comb. 33, No. 1, 73-83 (2017). Reviewer: Liming Xiong (Beijing) MSC: 05C69 05C15 05C76 05C35 PDF BibTeX XML Cite \textit{Q. Chen} et al., Graphs Comb. 33, No. 1, 73--83 (2017; Zbl 1367.05156) Full Text: DOI OpenURL
Aleid, S. A.; Cáceres, J.; Puertas, M. L. Independent [1,2]-domination of grids via min-plus algebra. (English) Zbl 1355.05179 de Mier, Anna (ed.) et al., Discrete mathematical days. Extended abstracts of the 10th “Jornadas de matemática discreta y algorítmica” (JMDA), Barcelona, Spain, July 6–8, 2016. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 54, 39-44 (2016). MSC: 05C69 PDF BibTeX XML Cite \textit{S. A. Aleid} et al., Electron. Notes Discrete Math. 54, 39--44 (2016; Zbl 1355.05179) Full Text: DOI OpenURL
Zhao, Weisheng; Zhang, Heping The bondage number of the strong product of a complete graph with a path and a special starlike tree. (English) Zbl 1338.05204 Discrete Math. Algorithms Appl. 8, No. 1, Article ID 1650006, 14 p. (2016). Reviewer: Sandi Klavžar (Ljubljana) MSC: 05C69 05C76 05C05 05C38 PDF BibTeX XML Cite \textit{W. Zhao} and \textit{H. Zhang}, Discrete Math. Algorithms Appl. 8, No. 1, Article ID 1650006, 14 p. (2016; Zbl 1338.05204) Full Text: DOI arXiv OpenURL
Zhao, Weisheng; Zhang, Heping Bondage number of strong product of two paths. (English) Zbl 1326.05116 Front. Math. China 10, No. 2, 435-460 (2015). MSC: 05C69 05C76 05C38 PDF BibTeX XML Cite \textit{W. Zhao} and \textit{H. Zhang}, Front. Math. China 10, No. 2, 435--460 (2015; Zbl 1326.05116) Full Text: DOI OpenURL
Jafari Rad, Nader A note on neighborhood total domination in graphs. (English) Zbl 1322.05111 Proc. Indian Acad. Sci., Math. Sci. 125, No. 3, 271-276 (2015). MSC: 05C69 PDF BibTeX XML Cite \textit{N. Jafari Rad}, Proc. Indian Acad. Sci., Math. Sci. 125, No. 3, 271--276 (2015; Zbl 1322.05111) Full Text: DOI OpenURL
Blessing, David; Johnson, Katie; Mauretour, Christie; Insko, Erik On \((t,r)\) broadcast domination numbers of grids. (English) Zbl 1315.05098 Discrete Appl. Math. 187, 19-40 (2015). MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{D. Blessing} et al., Discrete Appl. Math. 187, 19--40 (2015; Zbl 1315.05098) Full Text: DOI arXiv OpenURL
Crevals, Simon; Östergård, Patric R. J. Independent domination of grids. (English) Zbl 1310.05158 Discrete Math. 338, No. 8, 1379-1384 (2015). MSC: 05C69 05C35 90C39 PDF BibTeX XML Cite \textit{S. Crevals} and \textit{P. R. J. Östergård}, Discrete Math. 338, No. 8, 1379--1384 (2015; Zbl 1310.05158) Full Text: DOI OpenURL
Chellathurai, S. Robinson; Vijaya, S. Padma The geodetic domination number for the product of graphs. (English) Zbl 1463.05458 Trans. Comb. 3, No. 4, 19-30 (2014). MSC: 05C76 05C12 05C69 PDF BibTeX XML Cite \textit{S. R. Chellathurai} and \textit{S. P. Vijaya}, Trans. Comb. 3, No. 4, 19--30 (2014; Zbl 1463.05458) Full Text: DOI OpenURL
Georges, John; Lin, Jianwei; Mauro, David The domination number of \(K_n^3\). (English) Zbl 1305.05175 Discuss. Math., Graph Theory 34, No. 3, 629-632 (2014). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{J. Georges} et al., Discuss. Math., Graph Theory 34, No. 3, 629--632 (2014; Zbl 1305.05175) Full Text: DOI OpenURL
Nandi, Mrinal; Parui, Subrata; Adhikari, Avishek Bounds on the size of the minimum dominating sets of some cylindrical grid graphs. (English) Zbl 1295.05178 Int. J. Comb. 2014, Article ID 348359, 13 p. (2014). MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{M. Nandi} et al., Int. J. Comb. 2014, Article ID 348359, 13 p. (2014; Zbl 1295.05178) Full Text: DOI OpenURL
Brauch, Timothy; Horn, Paul; Jobson, Adam; Wildstrom, D. Jacob Stack domination density. (English) Zbl 1298.05243 Graphs Comb. 29, No. 6, 1689-1711 (2013). Reviewer: Ko-Wei Lih (Taipei) MSC: 05C69 05C76 PDF BibTeX XML Cite \textit{T. Brauch} et al., Graphs Comb. 29, No. 6, 1689--1711 (2013; Zbl 1298.05243) Full Text: DOI OpenURL
Fleischer, Rudolf; Yu, Jiajin A survey of the game “Lights Out!”. (English) Zbl 1395.91075 Brodnik, Andrej (ed.) et al., Space-efficient data structures, streams, and algorithms. Papers in honor of J. Ian Munro on the occasion of his 66th birthday. Berlin: Springer (ISBN 978-3-642-40272-2/pbk). Lecture Notes in Computer Science 8066, 176-198 (2013). MSC: 91A43 05C57 PDF BibTeX XML Cite \textit{R. Fleischer} and \textit{J. Yu}, Lect. Notes Comput. Sci. 8066, 176--198 (2013; Zbl 1395.91075) Full Text: DOI OpenURL
Xu, Jun-Ming On bondage numbers of graphs: a survey with some comments. (English) Zbl 1267.05201 Int. J. Comb. 2013, Article ID 595210, 34 p. (2013). MSC: 05C69 PDF BibTeX XML Cite \textit{J.-M. Xu}, Int. J. Comb. 2013, Article ID 595210, 34 p. (2013; Zbl 1267.05201) Full Text: DOI arXiv OpenURL
Hu, Futao; Xu, Jun-Ming Bondage number of mesh networks. (English) Zbl 1254.05075 Front. Math. China 7, No. 5, 813-826 (2012). MSC: 05C25 05C40 05C12 05C69 PDF BibTeX XML Cite \textit{F. Hu} and \textit{J.-M. Xu}, Front. Math. China 7, No. 5, 813--826 (2012; Zbl 1254.05075) Full Text: DOI Link OpenURL
Nandi, Mrinal; Parui, Subrata; Adhikari, Avishek The domination numbers of cylindrical grid graphs. (English) Zbl 1223.05214 Appl. Math. Comput. 217, No. 10, 4879-4889 (2011). MSC: 05C69 05C70 PDF BibTeX XML Cite \textit{M. Nandi} et al., Appl. Math. Comput. 217, No. 10, 4879--4889 (2011; Zbl 1223.05214) Full Text: DOI OpenURL
Zhang, Xindong; Liu, Juan; Chen, Xing; Meng, Jixiang Domination number of Cartesian products of directed cycles. (English) Zbl 1259.05134 Inf. Process. Lett. 111, No. 1, 36-39 (2010). MSC: 05C69 05C20 05C38 05C76 PDF BibTeX XML Cite \textit{X. Zhang} et al., Inf. Process. Lett. 111, No. 1, 36--39 (2010; Zbl 1259.05134) Full Text: DOI OpenURL
Liu, Juan; Zhang, Xindong; Chen, Xing; Meng, Jixiang On domination number of Cartesian product of directed cycles. (English) Zbl 1197.05111 Inf. Process. Lett. 110, No. 5, 171-173 (2010). MSC: 05C69 05C76 05C20 PDF BibTeX XML Cite \textit{J. Liu} et al., Inf. Process. Lett. 110, No. 5, 171--173 (2010; Zbl 1197.05111) Full Text: DOI OpenURL
Fu, Xueliang; Yang, Yuansheng; Jiang, Baoqi On the domination number of generalized petersen graphs \(P(n,2)\). (English) Zbl 1211.05112 Discrete Math. 309, No. 8, 2445-2451 (2009). MSC: 05C69 PDF BibTeX XML Cite \textit{X. Fu} et al., Discrete Math. 309, No. 8, 2445--2451 (2009; Zbl 1211.05112) Full Text: DOI OpenURL
Zwierzchowski, Maciej Total domination number of the conjunction of graphs. (English) Zbl 1112.05083 Discrete Math. 307, No. 7-8, 1016-1020 (2007). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Zwierzchowski}, Discrete Math. 307, No. 7--8, 1016--1020 (2007; Zbl 1112.05083) Full Text: DOI OpenURL
Zmazek, Blaž; Žerovnik, Janez On domination numbers of graphs bundles. (English) Zbl 1110.05079 J. Appl. Math. Comput. 22, No. 1-2, 39-48 (2006). Reviewer: Van Bang Le (Rostock) MSC: 05C69 05C62 PDF BibTeX XML Cite \textit{B. Zmazek} and \textit{J. Žerovnik}, J. Appl. Math. Comput. 22, No. 1--2, 39--48 (2006; Zbl 1110.05079) Full Text: DOI OpenURL
Dorfling, Michael; Henning, Michael A. A note on power domination in grid graphs. (English) Zbl 1090.05054 Discrete Appl. Math. 154, No. 6, 1023-1027 (2006). MSC: 05C69 PDF BibTeX XML Cite \textit{M. Dorfling} and \textit{M. A. Henning}, Discrete Appl. Math. 154, No. 6, 1023--1027 (2006; Zbl 1090.05054) Full Text: DOI OpenURL
Dunbar, Jean E.; Erwin, David J.; Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T. Broadcasts in graphs. (English) Zbl 1081.05084 Discrete Appl. Math. 154, No. 1, 59-75 (2006). MSC: 05C69 05C12 PDF BibTeX XML Cite \textit{J. E. Dunbar} et al., Discrete Appl. Math. 154, No. 1, 59--75 (2006; Zbl 1081.05084) Full Text: DOI OpenURL
Klobučar, Antoaneta On the \(k\)-dominating number of Cartesian products of two paths. (English) Zbl 1111.05078 Math. Slovaca 55, No. 2, 141-154 (2005). MSC: 05C69 PDF BibTeX XML Cite \textit{A. Klobučar}, Math. Slovaca 55, No. 2, 141--154 (2005; Zbl 1111.05078) Full Text: EuDML OpenURL
Haas, Ruth; Wexler, Thomas B. Bounds on the signed domination number of a graph. (English) Zbl 1075.05577 Alavi, Yousef (ed.) et al., Papers of the 9th quadrennial international conference on graph theory, combinatorics, algorithms, and applications, Kalamazoo, MI, USA, June 4–9, 2000. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 11, 742-750 (2002). MSC: 05C69 PDF BibTeX XML Cite \textit{R. Haas} and \textit{T. B. Wexler}, Electron. Notes Discrete Math. 11, 742--750 (2002; Zbl 1075.05577) Full Text: Link OpenURL
Gravier, Sylvain Total domination number of grid graphs. (English) Zbl 0995.05109 Discrete Appl. Math. 121, No. 1-3, 119-128 (2002). Reviewer: Lutz Volkmann (Aachen) MSC: 05C69 PDF BibTeX XML Cite \textit{S. Gravier}, Discrete Appl. Math. 121, No. 1--3, 119--128 (2002; Zbl 0995.05109) Full Text: DOI OpenURL
Klobučar, Antoaneta Domination numbers of cardinal products. (English) Zbl 0946.05065 Math. Slovaca 49, No. 4, 387-402 (1999). Reviewer: Martin Škoviera (Bratislava) MSC: 05C69 05C38 PDF BibTeX XML Cite \textit{A. Klobučar}, Math. Slovaca 49, No. 4, 387--402 (1999; Zbl 0946.05065) Full Text: EuDML OpenURL
Chérifi, Rachid; Gravier, Sylvain; Lagraula, Xavier; Payan, Charles; Zighem, Ismail Domination number of the cross product of paths. (English) Zbl 0923.05031 Discrete Appl. Math. 94, No. 1-3, 101-139 (1999). Reviewer: W.G.Brown (Montreal) MSC: 05C35 05C38 05C85 PDF BibTeX XML Cite \textit{R. Chérifi} et al., Discrete Appl. Math. 94, No. 1--3, 101--139 (1999; Zbl 0923.05031) Full Text: DOI OpenURL
Shan, Erfang; Sun, Liang; Kang, Liying Some results on domination number of products of graphs. (English) Zbl 0904.05048 Appl. Math., Ser. B (Engl. Ed.) 13, No. 1, 103-108 (1998). Reviewer: B.Zelinka (Liberec) MSC: 05C35 PDF BibTeX XML Cite \textit{E. Shan} et al., Appl. Math., Ser. B (Engl. Ed.) 13, No. 1, 103--108 (1998; Zbl 0904.05048) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{O. Favaron} and \textit{J. Puech}, Discrete Math. 179, No. 1--3, 257--265 (1998; Zbl 0887.05026) Full Text: DOI OpenURL
Gravier, Sylvain; Mollard, Michel On domination numbers of Cartesian products of paths. (English) Zbl 0898.05040 Discrete Appl. Math. 80, No. 2-3, 247-250 (1997). Reviewer: B.Zelinka (Liberec) MSC: 05C35 05C38 PDF BibTeX XML Cite \textit{S. Gravier} and \textit{M. Mollard}, Discrete Appl. Math. 80, No. 2--3, 247--250 (1997; Zbl 0898.05040) Full Text: DOI Link OpenURL
Klavžar, Sandi; Zmazek, Blaž On a Vizing-like conjecture for direct product graphs. (English) Zbl 0856.05054 Discrete Math. 156, No. 1-3, 243-246 (1996). Reviewer: B.Zelinka (Liberec) MSC: 05C35 PDF BibTeX XML Cite \textit{S. Klavžar} and \textit{B. Zmazek}, Discrete Math. 156, No. 1--3, 243--246 (1996; Zbl 0856.05054) Full Text: DOI OpenURL
Klavžar, Sandi; Žerovnik, Janez Algebraic approach to fasciagraphs and rotagraphs. (English) Zbl 0848.05038 Discrete Appl. Math. 68, No. 1-2, 93-100 (1996). Reviewer: Z.Chen (Indianapolis) MSC: 05C35 05C85 PDF BibTeX XML Cite \textit{S. Klavžar} and \textit{J. Žerovnik}, Discrete Appl. Math. 68, No. 1--2, 93--100 (1996; Zbl 0848.05038) Full Text: DOI OpenURL
Gravier, Sylvain; Khelladi, Abdelkader On the domination number of cross products of graphs. (English) Zbl 0833.05053 Discrete Math. 145, No. 1-3, 273-277 (1995). Reviewer: B.Zelinka (Liberec) MSC: 05C38 05C35 PDF BibTeX XML Cite \textit{S. Gravier} and \textit{A. Khelladi}, Discrete Math. 145, No. 1--3, 273--277 (1995; Zbl 0833.05053) Full Text: DOI OpenURL
Klavžar, Sandi; Seifter, Norbert Dominating Cartesian products of cycles. (English) Zbl 0824.05037 Discrete Appl. Math. 59, No. 2, 129-136 (1995). Reviewer: V.D.Tonchev (Houghton) MSC: 05C35 05C38 PDF BibTeX XML Cite \textit{S. Klavžar} and \textit{N. Seifter}, Discrete Appl. Math. 59, No. 2, 129--136 (1995; Zbl 0824.05037) Full Text: DOI OpenURL
Hedetniemi, S. T.; Laskar, R. C. Bibliography on domination in graphs and some basic definitions of domination parameters. (English) Zbl 0733.05076 Discrete Math. 86, No. 1-3, 257-277 (1990). Reviewer: L.Niepel MSC: 05C99 05-02 00A15 PDF BibTeX XML Cite \textit{S. T. Hedetniemi} and \textit{R. C. Laskar}, Discrete Math. 86, No. 1--3, 257--277 (1990; Zbl 0733.05076) Full Text: DOI OpenURL
Fink, J. F.; Jacobson, M. S.; Kinch, L. F.; Roberts, J. On graphs having domination number half their order. (English) Zbl 0602.05043 Period. Math. Hung. 16, 287-293 (1985). Reviewer: L.Olaru MSC: 05C35 05C99 PDF BibTeX XML Cite \textit{J. F. Fink} et al., Period. Math. Hung. 16, 287--293 (1985; Zbl 0602.05043) Full Text: DOI OpenURL