Graphs and Combinatorics

, Volume 29, Issue 5, pp 1311–1327 | Cite as

On Planar Toeplitz Graphs

Original Paper
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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.

Keywords

Toeplitz graph Planarity Colouring Maximal independent set Counting 

Mathematics Subject Classification

05C75 05C15 05A15 

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Copyright information

© Springer 2012

Authors and Affiliations

  1. 1.Lab-STICC, Faculté des SciencesUMR CNRS 6285, Université Européenne de BretagneBrest Cedex 3France
  2. 2.Fakultät für MathematikTechnische Universität DortmundDortmundGermany
  3. 3.Institute of Mathematics, Romanian AcademyBucharestRomania
  4. 4.ASSMS, GC UniversityLahorePakistan

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