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T. W. Haynes, S. T. Hedetniemi and P. J. Slater, “Fundamentals of Domination in Graphs,” Marcel Dekker, New York, 1998.

has been cited by the following article:

• TITLE: A Note on Edge-Domsaturation Number of a Graph

  AUTHORS: Devadhas Nidha, Murugan Kala

  KEYWORDS: Edge-Dominating Set; Edge-Domination Number; ds'- Critical; Edge-Domsaturation Number; Well Edge Dominated Graph

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.2 No.3, July 18, 2012

  ABSTRACT: The edge-domsaturation number ds'(G) of a graph G = (V, E) is the least positive integer k such that every edge of G lies in an edge dominating set of cardinality k. In this paper, we characterize unicyclic graphs G with ds'(G) = q – Δ'(G) + 1 and investigate well-edge dominated graphs. We further define γ'–-critical, γ'+-critical, ds'–-critical, ds'+-critical edges and study some of their properties.