Computing graph invariants on rotagraphs using dynamic algorithm approach: the case of (2,1)-colorings and independence numbers

  • Authors:
  • Sandi Klavžar;Aleksander Vesel

  • Affiliations:
  • Department of Mathematics, PEF, University of Maribor, Koroska cesta 160, 2000 Maribor, Slovenia;Department of Mathematics, PEF, University of Maribor, Koroska cesta 160, 2000 Maribor, Slovenia

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2003

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Abstract

Rotagraphs generalize all standard products of graphs in which one factor is a cycle. A computer-based approach for searching graph invariants on rotagraphs is proposed and two of its applications are presented. First, the λ-numbers of the Cartesian product of a cycle and a path are computed, where the λ-number of a graph G is the minimum number of colors needed in a (2, 1)-coloring of G. The independence numbers of the family of the strong product graphs C7 × C7 × C2k+1 are also obtained.