Tricyclic Graph with Minimum Randić Index
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OA: closed
Abstract
The Randić index of a graph G is the sum of (dG(u)dG(v))−1/2 over all edges uv of G, where dG(u) denotes the degree of vertex u in G. In this paper, we investigate a few graph transformations that decrease Randić index of graph. By applying those transformations, we determine the minimum Randić index on tricyclic graphs, and characterize the corresponding extremal graphs.
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- last seen: 2026-05-19T01:45:01.086888+00:00