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.
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Received: October 2003, Revised: January 2005,
AMS classification:
05C
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Nuffelen, C.V., Rompay, K.V. On the length of longest chordless cycles. 4OR 3, 133–138 (2005). https://doi.org/10.1007/s10288-005-0062-1
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DOI: https://doi.org/10.1007/s10288-005-0062-1