On Sombor Index of Unicyclic and Bicyclic Graphs
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Published:2024-07-23
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Volume:
Page:
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ISSN:0219-2659
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Container-title:Journal of Interconnection Networks
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language:en
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Short-container-title:J. Inter. Net.
Affiliation:
1. College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, P. R. China
Abstract
Gutman proposed a topological index called the Sombor index, which was defined as [Formula: see text] where [Formula: see text] is the degree of the vertex [Formula: see text] in graph [Formula: see text]. In this paper, we determine the second-minimum and second-maximum values of the Sombor index over all the unicyclic graphs of order [Formula: see text] and bicyclic graphs of order [Formula: see text].
Funder
Natural Science Foundation of Xinjiang
Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd