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Maximum Number of Contractible Edges on Hamiltonian Cycles of a 3-Connected Graph

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Abstract.

 We show that if G is a 3-connected hamiltonian graph of order at least 5, then there exists a hamiltonian cycle C of G such that the number of contractible edges of G which are on C is greater than or equal to .

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Authors and Affiliations

  1. Department of Applied Mathematics, Science University of Tokyo, 1-3 Kagurazaka, Shinjuku-ku, Tokyo 162-8601, Japan. e-mail: kyo@ha.bekkoame.ne.jp, , , , , , JP

    Kyo Fujita

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  1. Kyo Fujita
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Additional information

Received: July 31, 2000 Final version received: December 12, 2000

Acknowledgments. I would like to thank Professor Yoshimi Egawa for the help he gave to me during the preparation of this paper.

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Fujita, K. Maximum Number of Contractible Edges on Hamiltonian Cycles of a 3-Connected Graph. Graphs Comb 18, 447–478 (2002). https://doi.org/10.1007/s003730200033

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  • DOI: https://doi.org/10.1007/s003730200033

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