Published January 1, 2019 | Version v1
Journal article Open

Domination and efficient domination in cubic and quartic Cayley graphs on abelian groups

  • 1. Antalya Bilim Univ, Dept Comp Engn, TR-07190 Antalya, Turkey
  • 2. Univ Primorska, Andrej Marusic Inst, Muzejski Trg 2, Koper 6000, Slovenia
  • 3. Gebze Tech Univ, Dept Math, TR-41400 Kocaeli, Turkey

Description

In this paper, we characterize cubic and quartic Cayley graphs on abelian groups that admit an efficient dominating set, and then we give domination numbers, even when they do not have an efficient dominating set, when it is possible. (C) 2019 Elsevier B.V. All rights reserved.

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