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- W2186983195 abstract "The Randic index of a graph G is defined as R(G )= � u∼v (d(u)d(v)) − 1 2 , where d(u )i s the degree of the vertex u , and the summation goes over all pairs of adjacent vertices u, v . In this paper, we investigate a conjecture on R(G) for a connected graph G as follows: R(G) ≥ r(G) − 1 , where r(G) denotes the radius of G. We prove that the conjecture is true for unicyclic graphs, bicyclic graphs and chemical graphs with cyclomatic number c(G) ≤ 5." @default.
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- W2186983195 date "2009-01-01" @default.
- W2186983195 modified "2023-09-27" @default.
- W2186983195 title "ON A CONJECTURE ON RANDI ´ C INDICES" @default.
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