Article
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The Effect of Vertex and Egde Removal on Sombor Index
Version 1
: Received: 25 December 2023 / Approved: 26 December 2023 / Online: 26 December 2023 (11:56:09 CET)
A peer-reviewed article of this Preprint also exists.
Yurttas Gunes, A.; Ozden Ayna, H.; Cangul, I.N. The Effect of Vertex and Edge Removal on Sombor Index. Symmetry 2024, 16, 170. Yurttas Gunes, A.; Ozden Ayna, H.; Cangul, I.N. The Effect of Vertex and Edge Removal on Sombor Index. Symmetry 2024, 16, 170.
Abstract
Sombor index was recently defined in 2021 as a new vertex degree based topological index by Gutman and has received great attention of mathematicians and chemists. In this work, we determine how much the Sombor index is effected when we delete a vertex or an edge from a graph. Using the formulae obtained here successively, one can calculate the Sombor indices of large graphs by means of Sombor indices of smaller graphs which are obtained by deletion of vertices or edges.
Keywords
Sombor index; vertex removal; edge removal
Subject
Computer Science and Mathematics, Discrete Mathematics and Combinatorics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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