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Sombor index of trees with at most three branch vertices

Roberto Cruz, Juan Rada and José M. Sigarreta

Applied Mathematics and Computation, 2021, vol. 409, issue C

Abstract: Let G be a graph with set of vertices V(G) and set of edges E(G). The Sombor index is a vertex-degree-based-topological index recently introduced by Ivan Gutman, defined asSO(G)=∑uv∈E(G)(du)2+(dv)2.In this paper we determine the extremal values of SO over trees with at most three branch vertices.

Keywords: Sombor index; Extremal values; Trees; Branch vertices (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:409:y:2021:i:c:s0096300321005038

DOI: 10.1016/j.amc.2021.126414

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