Edge Growth in Graph Squares
نویسنده
چکیده
We resolve a conjecture of Hegarty regarding the number of edges in the square of a regular graph. If G is a connected d-regular graph with n vertices, the graph square of G is not complete, and G is not a member of two narrow families of graphs, then the square of G has at least (2− od(1))n more edges than G.
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تاریخ انتشار 2013