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Remarks on the bondage number of planar graphs

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Publication:1861243
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DOI10.1016/S0012-365X(02)00449-1zbMath1009.05104MaRDI QIDQ1861243

Dieter Rautenbach, Miranca Fischermann, Lutz Volkmann

Publication date: 16 March 2003

Published in: Discrete Mathematics (Search for Journal in Brave)


zbMATH Keywords

planar graphsgirthdomination numberbondage number


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


Related Items (11)

A BOUND ON THE BONDAGE NUMBER OF TOROIDAL GRAPHS ⋮ The bondage numbers of graphs with small crossing numbers ⋮ Upper bounds for the bondage number of graphs on topological surfaces ⋮ On bondage numbers of graphs: a survey with some comments ⋮ Bondage number of grid graphs ⋮ The \(p\)-bondage number of trees ⋮ On the Roman bondage number of planar graphs ⋮ Upper bounds on the bondage number of the strong product of a graph and a tree ⋮ On the bondage number of planar and directed graphs ⋮ The total bondage number of grid graphs ⋮ Reinforcement numbers of digraphs







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