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- W2185264966 abstract "The Randiindex 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 vertex u, and the summation goes over all pairs of adjacent vertices u, v .A conjecture of R(G) for connected graph with n vertices is as follows: R(G) − D √ 2 − n+1 2 and R(G) D 1 2 + √ 2−1 n−1 , where D is the diameter of G. In this paper, we prove that this conjecture is true for unicyclic graphs." @default.
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- W2185264966 date "2010-01-01" @default.
- W2185264966 modified "2023-09-27" @default.
- W2185264966 title "On a Conjecture about the Randi´ c Index and Diameter" @default.
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