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Independent dominating sets in regular graphs

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  • Julie Haviland

    (Exeter College)

Abstract

Let G be a simple, regular graph of order n and degree δ. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. We establish new upper bounds, as functions of n and δ, for the independent domination number of regular graphs with $n/6

Suggested Citation

  • Julie Haviland, 2013. "Independent dominating sets in regular graphs," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 120-126, July.
    • Handle: RePEc:spr:jcomop:v:26:y:2013:i:1:d:10.1007_s10878-011-9439-6
    DOI: 10.1007/s10878-011-9439-6
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    Cited by:

    1. Tian Liu & Chaoyi Wang & Ke Xu, 2015. "Large hypertree width for sparse random hypergraphs," Journal of Combinatorial Optimization, Springer, vol. 29(3), pages 531-540, April.

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