English

Note on the bondage number of graphs on topological surfaces

Combinatorics 2012-08-31 v1

Abstract

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. In this paper we present new upper bounds for b(G) in terms of girth, order and Euler characteristic.

Keywords

Cite

@article{arxiv.1208.6203,
  title  = {Note on the bondage number of graphs on topological surfaces},
  author = {Vladimir Samodivkin},
  journal= {arXiv preprint arXiv:1208.6203},
  year   = {2012}
}

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4 pages