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arXiv · 1204.0533

Bondage number of grid graphs

Magda Dettlaff·Magdalena Lemanska·Ismael G. Yero
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Abstract

The bondage number $b(G)$ of a nonempty graph $G$ is the cardinality of a smallest set of edges whose removal from $G$ results in a graph with domination number greater than the domination number of $G$. Here we study the bondage number of some grid-like graphs. In this sense, we obtain some bounds or exact values of the bondage number of some strong product and direct product of two paths.

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Magda Dettlaff, Magdalena Lemanska, Ismael G. Yero. 2014-01-15. Bondage number of grid graphs. https://doi.org/10.1016/j.dam.2013.11.020

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