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arXiv 2011-09-19 1 views

The Bondage Number of Mesh Networks

Hu, Fu-Tao · Cao, Yong-Chang · Xu, Jun-Ming

Original · EN

The bondage number b(G) of a nonempty graph G is the smallest number of edges whose removal from G results in a graph with domination number greater than that of G. Denote Pₙ× Pₘ be the Cartesian product of two paths Pₙ and Pₘ. This paper determines that the exact value of b(Pₙ× P₂), b(Pₙ× P₃) and b(Pₙ× P₄) for n≥ 2.

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