Note on the bondage number of graphs on topological surfaces (Q2848734)

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scientific article; zbMATH DE number 6212185
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Note on the bondage number of graphs on topological surfaces
scientific article; zbMATH DE number 6212185

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    26 September 2013
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    graph
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    dominating set
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    topological surface
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    math.CO
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    Note on the bondage number of graphs on topological surfaces (English)
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    The bondage number \(b(G)\) of a graph \(G\) is the smallest number of edges whose removal from \(G\) results in a graph with larger domination number. It is presented some new upper bounds for \(b(G)\) in terms of girth, order and Euler characteristic.
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