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On the factor-thickness of regular graphs
Authors:Y H Peng  C C Chen  K M Koh
Institution:(1) Department of Mathematics, National University of Singapore, 0511 Kent Ridge, Singapore
Abstract:For eachr-regular graphG, define a binary sequencetheta(G) = (theta 1,theta 2,...,theta r-1) bytheta k = 0 ifG has ak-factor, andtheta k = 1 otherwise. A binary sequenceepsi = (epsi i |i = 1, 2,...,r – 1) is said to be realizable if there exists anr-regular graphG such thattheta(G) = epsi. In this paper we characterize all binary sequences which are realizable.
Keywords:
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