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Main Title: A New Bound on the Length of Minimum Cycle Bases
Author(s): Liebchen, Christian
Rizzi, Romeo
Type: Research Paper
Abstract: For any weighted graph we construct a cycle basis of length O(W*log(n)*log(log(n))), where W denotes the sum of the weights of the edges. This improves the upper bound that was obtained only recently by Elkin et al. (2005) by a logarithmic factor. From below, our result has to be compared with Ω(W*log(n)), being the length of the minimum cycle bases (MCB) of a class of graphs with large girth.
Subject(s): combinatorial optimization
minimum cycle basis problem
weakly fundamental cycle bases
tree metrics
Issue Date: 2006
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 05C38 Paths and cycles
68R10 Graph theory
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2006, 32
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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