Lu Xia Mei

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The Randić index of an organic molecule whose molecular graph is G is defined as the sum of (d(u)d(v))− 1 2 over all pairs of adjacent vertices of G, where d(u) is the degree of the vertex u in G. In(More)
We prove a conjecture of Saito that if a graph G with ≥ 3 has no cycle of length 1 (mod 3), then G has an induced subgraph which is isomorphic to the Petersen graph. The above result strengthened the(More)