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The Diameters of Some Transition Graphs Constructed from Hamilton Cycles

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Abstract.

 A complete undirected graph of order n has Hamilton cycles. We consider the diameter of a transition graph whose vertices correspond to those Hamilton cycles and any of two vertices are adjacent if and only if the corresponding Hamilton cycles can be transformed each other by exchanging two edges. Moreover, we consider several transition graphs related to it.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan e-mail: hagita@comb.math.keio.ac.jp, , , , , , JP

    Mariko Hagita

  2. Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan e-mail: oda@comb.math.keio.ac.jp, , , , , , JP

    Yoshiaki Oda

  3. Department of Mathematics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan e-mail: ohta@comb.math.keio.ac.jp, , , , , , JP

    Katsuhiro Ota

Authors
  1. Mariko Hagita
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  2. Yoshiaki Oda
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  3. Katsuhiro Ota
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Received: November 4, 1999 Final version received: August 28, 2000

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Hagita, M., Oda, Y. & Ota, K. The Diameters of Some Transition Graphs Constructed from Hamilton Cycles. Graphs Comb 18, 105–117 (2002). https://doi.org/10.1007/s003730200006

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  • DOI: https://doi.org/10.1007/s003730200006

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