Independent dominating sets in triangle‐free graphs

Independent dominating sets in triangle‐free graphs

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Article ID: iaor2012234
Volume: 23
Issue: 1
Start Page Number: 9
End Page Number: 20
Publication Date: Jan 2012
Journal: Journal of Combinatorial Optimization
Authors: ,
Keywords: combinatorial optimization
Abstract:

The independent domination number of a graph is the smallest cardinality of an independent set that dominates the graph. In this paper we consider the independent domination number of triangle‐free graphs. We improve several of the known bounds as a function of the order and minimum degree, thereby answering conjectures of Haviland.

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