On the length of longest chordless cycles |
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Authors: | Cyriel Van Nuffelen Kristel Van Rompay |
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Affiliation: | (1) University of Antwerp, Prinsstraat 13, 2000 Antwerp, Belgium |
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Abstract: | Upper bounds for the length of a longest (circuit) cycle without chords in a (directed) graph are given in terms of the rank of the adjacency matrix and in terms of its eigenvalues.Received: October 2003, Revised: January 2005, AMS classification: 05C |
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Keywords: | Adjacency matrix cycle rank eigenvalues |
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