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Characterization of Minimum Cycle Basis in Weighted Partial 2-trees
Published 24 Feb 2013 in cs.DM and math.CO | (1302.5889v1)
Abstract: For a weighted outerplanar graph, the set of lex short cycles is known to be a minimum cycle basis [Inf. Process. Lett. 110 (2010) 970-974 ]. In this work, we show that the set of lex short cycles is a minimum cycle basis in weighted partial 2-trees (graphs of treewidth two) which is a superclass of outerplanar graphs.
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