Number of Dominating Sets in Cylindric Square Grid Graphs

Research output: Contribution to journalArticlepeer-review

Abstract

A dominating set of a graph is a subset D of the vertices such that every vertex not in D is adjacent to some vertex of D. In this paper, we introduce several variants of dominating sets in the square grid, periodic square grid and cylindric square grid by considering translation symmetry. We provide their exact enumerations in terms of domination polynomials. We also analyze the asymptotic behavior of the growth rates of their cardinality.

Original languageEnglish
JournalGraphs and Combinatorics
DOIs
Publication statusAccepted/In press - 2021

Keywords

  • Cylindric square grid
  • Dominating set
  • Domination polynomial

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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