A vertex-degree-based molecular structure descriptor was introduced by Ivan Gutman, named the Sombor index. The Sombor index of a graph G is defined as SO(G) = Sigma(uv is an element of E(G)) root d(G)(u)(2) + d(G)(v)(2), where d(G)(u) denotes the degree of the vertex u in G. In this paper we determine the extremal values of Sombor index of tricyclic graphs.
机构:
Huanggang Normal Univ, Coll Math & Phys, Huanggang 438000, Peoples R ChinaHuanggang Normal Univ, Coll Math & Phys, Huanggang 438000, Peoples R China
He, Fangguo
Zhu, Zhongxun
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South Cent Univ Nationalities, Dept Math & Stat, Wuhan 430074, Peoples R ChinaHuanggang Normal Univ, Coll Math & Phys, Huanggang 438000, Peoples R China
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North Eastern Hill Univ, Dept Math, Shillong 793022, Meghalaya, IndiaNorth Eastern Hill Univ, Dept Math, Shillong 793022, Meghalaya, India
Phanjoubam, Chinglensana
Mawiong, Sainkupar Mn
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North Eastern Hill Univ, Dept Basic Sci & Social Sci, Shillong 793022, Meghalaya, IndiaNorth Eastern Hill Univ, Dept Math, Shillong 793022, Meghalaya, India