English

Bondage number of grid graphs

Combinatorics 2014-01-16 v2

Abstract

The bondage number b(G)b(G) of a nonempty graph GG is the cardinality of a smallest set of edges whose removal from GG results in a graph with domination number greater than the domination number of GG. 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.

Keywords

Cite

@article{arxiv.1204.0533,
  title  = {Bondage number of grid graphs},
  author = {Magda Dettlaff and Magdalena Lemanska and Ismael G. Yero},
  journal= {arXiv preprint arXiv:1204.0533},
  year   = {2014}
}

Comments

13 pages. Discrete Applied Mathematics, 2014

R2 v1 2026-06-21T20:43:42.497Z