Excellent Domination Subdivision Stable Graphs

Authors

  • yamuna Manimuthu Asst. Prof( Sr ), VIT University, Vellore.

DOI:

https://doi.org/10.14419/ijbas.v1i4.271

Abstract

A set of vertices D in a graph G = ( V, E ) is a dominating set if every vertex of V – D is adjacent to some vertex of D. If D has the smallest possible cardinality of any dominating set of G, then D is called a minimum dominating set — abbreviated MDS. A graph G is said to be excellent if given any vertex v then there is a g - set of G containing v. An excellent graph G is said to be very excellent ( VE ), if there is a g - set D of G such that to each vertex u Î V – D $  a vertex v Î D such that D – { v } È { u } is a g - set of G. In this paper we have proved that very excellent trees are subdivision stable. We also have provided a method of generating an excellent subdivision stable graph from a non  - excellent subdivision stable graph.

Author Biography

yamuna Manimuthu, Asst. Prof( Sr ), VIT University, Vellore.

Assistant Professor ( Sr )

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Published

2012-08-14

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Section

Articles