Domination in Degree Splitting Graphs
نویسندگان
چکیده
Let G = (V, E) be a graph with V = S1 S2 ...,St T where each Si is a set of vertices having at least two vertices and having the same degree and T = V Si. The degree splitting graph of G is denoted by DS(G) is obtained from G by adding vertices w1, w2, ..., wt and joining wi to each vertex of Si (1 i t). Let the vertices and the edges of a graph G are called the elements of G. In this paper, we study the variation in domination from the graph G to the degree splitting graph DS(G). Also we establish many bounds on (DS(G)) in terms of elements of G but not in terms of elements of DS(G). 2000 Mathematics Subject Classification: 05C69.
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تاریخ انتشار 2012