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On the length of longest chordless cycles
Authors:Cyriel Van Nuffelen  Kristel Van Rompay
Affiliation:(1) University of Antwerp, Prinsstraat 13, 2000 Antwerp, Belgium
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
Keywords:Adjacency matrix  cycle  rank  eigenvalues
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