Some New Results on Domination Integrity of Graphs

DOI: 10.4236/ojdm.2012.23018   PDF   HTML   XML   5,310 Downloads   8,329 Views   Citations

Abstract

The domination integrity of a connected graph G= (V(G), E(G)) is denoted as DI(G) and defined by DI(G) = min{*S*+ m(G-S) : S is a dominating set } where m(G-S) is the order of a maximum component of G-S . We discuss domination integrity in the context of some graph operations like duplication of an edge by vertex and duplication of vertex by an edge.

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S. Vaidya and N. Kothari, "Some New Results on Domination Integrity of Graphs," Open Journal of Discrete Mathematics, Vol. 2 No. 3, 2012, pp. 96-98. doi: 10.4236/ojdm.2012.23018.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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