Cai Xiao-Tao

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In this note a shortened proof is given for the Faudree-Schelp theorem on path-connected graphs. We consider ordinary graphs, i.e., finite, undirected graphs without loops or multiple edges. Let Pdu, u) denote a u-u path of length 1 1 in a graph G . A graph G is said to satisfy property Pi if Pi(u , u) exists for all distinct pairs u, u in V(G). Let [A, B ](More)
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