A Study on Edge-Set Graphs of Certain Graphs
نویسندگان
چکیده
LetG(V,E) simple connected graph, with |E| = . In this paper, we define an edge-set graph GG constructed from the graphG such that any vertex vs,i of GG corresponds to the i-th s-element subset ofE(G) and any two vertices vs,i, vk,m of GG are adjacent if and only if there is at least one edge in the edge-subset corresponding to vs,i which is adjacent to at least one edge in the edge-subset corresponding to vk,m, where s, k are positive integers. It can be noted that the edge-set graph GG of a graph G is dependent on both the structure ofG as well as the number of edges . We also discuss the characteristics and properties of the edge-set graphs corresponding to certain standard graphs.
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تاریخ انتشار 2015