Regular graphs with maximum forest number

Conference
(2011) Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publisher(s)
University of the Thai Chamber of Commerce
Date Issued
2011
Author(s)
Other Contributor(s)
University of the Thai Chamber of Commerce. Research Support Office
Abstract
Punnim proved in [6] that if G is an rregular graph of order n, then its forest number is at most c, where (Equation Presented) He also proved that the bound is sharp. Let R(rn; c) be the class of all rregular graphs of order n. We prove in this paper that if G, H ∈ R(rn; c), then there exists a sequence of switchings σ1, σ2,. .., σt such that for each i=1, 2,...,t, and G σ1σ2...σi ∈ R(rn; c) and H = G σ1σ2...σt.
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public
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Rights Holder(s)
University of the Thai Chamber of Commerce
Bibliographic Citation
A. Chantasartrassmee, N. Punnim (2011) Regular graphs with maximum forest number., 12-18.
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