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Cyclic Degrees of 3-Polytopes

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Abstract.

 A precise upper bound is obtained for the minimum cyclic vertex degree in a 3-polytope with specified maximum face size. This implies improvements to some known upper bounds for the cyclic chromatic numbers of 3-polytopes.

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Authors and Affiliations

  1.  Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia, , , , , , RU

    Oleg V. Borodin

  2.  School of Mathematical Sciences, University of Nottingham, Nottingham, NG7 2RD, UK. e-mail: drw@maths.nott.ac.uk, , , , , , GB

    Douglas R. Woodall

Authors
  1. Oleg V. Borodin
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  2. Douglas R. Woodall
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Received: August 18, 1997 Revised: August 24, 1998

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Borodin, O., Woodall, D. Cyclic Degrees of 3-Polytopes. Graphs Comb 15, 267–277 (1999). https://doi.org/10.1007/s003730050060

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  • DOI: https://doi.org/10.1007/s003730050060

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