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The Cycle Spectrum of Claw-free Hamiltonian Graphs

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Abstract

If \(G\) is a claw-free Hamiltonian graph of order \(n\) and maximum degree \(\Delta \) with \(\Delta \ge 24\), then \(G\) has cycles of at least \(\min \left\{ n,\left\lceil \frac{3}{2}\Delta \right\rceil \right\} -2\) many different lengths.

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  1. Institut für Optimierung und Operations Research, Universität Ulm, Ulm, Germany

    Jonas Eckert, Felix Joos & Dieter Rautenbach

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  1. Jonas Eckert
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  2. Felix Joos
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  3. Dieter Rautenbach
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Correspondence to Dieter Rautenbach.

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Eckert, J., Joos, F. & Rautenbach, D. The Cycle Spectrum of Claw-free Hamiltonian Graphs. Graphs and Combinatorics 32, 93–101 (2016). https://doi.org/10.1007/s00373-015-1530-9

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  • DOI: https://doi.org/10.1007/s00373-015-1530-9

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