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On Entire Dominating Transformation Graphs and Fuzzy Transformation Graphs
2015
Intern. J. Fuzzy Mathematical Archive
unpublished
Let G=(V, E) be a graph. Let S be the set of all minimal dominating sets of G. Let x, y, z be three variables each taking value + or-. The entire transformation graph G xyz is the graph having V∪S as the vertex set and for any two vertices u and v in V ∪ S, u and v are adjacent in G xyz if and only if one of the following conditions holds: (i) u, v ∈ V. x = + if u, v ∈D where D is a minimal dominating set of G. x =-if u, v ∉ D where D is a minimal dominating set of G. (ii) u, v ∈ S. y = + if u
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