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Regular factors of simple regular graphs and factor-spectra

✍ Scribed by Thomas Niessen; Bert Randerath

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 680 KB
Volume: 185
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(97)00166-0

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✦ Synopsis

Given integers n, r and 2, we determine all values of k for which every simple r-regular graph of order n and with edge-connectivity 2 has a k-factor. Using this result we find for k >~ 2 the k-spectra Spk(n ) = {m: there exists a maximal set of m edge-disjoint k-factors of K~} which were introduced by Hoffman et al.

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