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K. D. Dharmalingam, “Studies in Graph Theorey-Equitable Domination and Bottleneck Domination,” Ph.D. Thesis, Madurai Kamaraj University, Madurai, 2006.

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.