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H. B. Walikar, B. D. Acharya and E. Sampathkumar, “Recent Developments in the Theory of Domination in Graphs,” MRI Lecture Notes in Mathematices, Vol. 1, Mehta Research Institute, Alahabad, 1979.

has been cited by the following article:

• TITLE: The Middle Equitable Dominating Graphs

  AUTHORS: Anwar Alwardi, N.D. Soner, Ahmad N. Al-Kenani

  KEYWORDS: Eqitable Domination Number; Middle Equitable Dominating Graph; Intersection Graphs

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

  ABSTRACT: Let G= (V, E) be a graph and A(G) is the collection of all minimal equitable dominating set of G. The middle equitable dominating graph of G is the graph denoted by Med(G) with vertex set the disjoint union of V∪A(G) and (u, v) is an edge if and only if u ∩ v ≠ φ whenever u, v ∈ A(G) or u ∈ v whenever u ∈ v and v ∈ A(G) . In this paper, characterizations are given for graphs whose middle equitable dominating graph is connected and Kp∈Med(G) . Other properties of middle equitable dominating graphs are also obtained.