On diameter and inverse degree of chemical graphs
نویسندگان
چکیده
The inverse degree r(G) of a finite graph G = (V,E) is defined as r(G) = ∑ v∈V 1 d(v) , where d(v) is the degree of vertex v. In Discrete Math. 310 (2010), 940-946, Mukwembi posed the following conjecture: Let G be a connected chemical graph with diameter diam(G) and inverse degree r(G). Then diam(G) ≤ 12 5 r(G) +O(1). In this paper, we settle the conjecture affirmatively.
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