Non DSS to DSS Graphs

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India BP International
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Non DSS to DSS Graphs

A graph G is said to be domination subdivision stable (DSS) if g (Gsd uv) = g (G), for all u, v Î V (G), u adjacent to v. The main objective of this article is to develop an iterative procedure of generating a DSS graph from a graph that is not DSS in a finite sequence of iterations. To develop this iterative procedure we have used edge subdivision and edge contraction as a tool.

#Domination #subdivision #contraction #nonDSSgraph #DSSgraph



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