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On Planar Toeplitz Graphs

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Abstract

We describe several classes of finite, planar Toeplitz graphs and present results on their chromatic number. We then turn to counting maximal independent sets in these graphs and determine recurrence equations and generating functions for some special cases.

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Authors and Affiliations

  1. Lab-STICC, Faculté des Sciences, UMR CNRS 6285, Université Européenne de Bretagne, 20 Avenue Le Gorgeu, CS 93837, 29238, Brest Cedex 3, France

    Reinhardt Euler

  2. Fakultät für Mathematik, Technische Universität Dortmund, Vogelpothsweg 87, 44227, Dortmund, Germany

    Tudor Zamfirescu

  3. Institute of Mathematics, Romanian Academy, Bucharest, Romania

    Tudor Zamfirescu

  4. ASSMS, GC University, Lahore, Pakistan

    Tudor Zamfirescu

Authors
  1. Reinhardt Euler
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  2. Tudor Zamfirescu
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Correspondence to Reinhardt Euler.

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Euler, R., Zamfirescu, T. On Planar Toeplitz Graphs. Graphs and Combinatorics 29, 1311–1327 (2013). https://doi.org/10.1007/s00373-012-1185-8

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  • DOI: https://doi.org/10.1007/s00373-012-1185-8

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