文章基本信息

标题：Spectrum and energy of the Sombor matrix
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作者：Ivan Gutman
期刊名称：Vojnotehnicki glasnik / Military Technical Courier
印刷版ISSN：0042-8469
电子版ISSN：2217-4753
出版年度：2021
卷号：69
期号：3
页码：551-561
DOI：10.5937/vojtehg69-31995
语种：English
出版社：Ministry of defence of the Republic of Serbia: University of defence in Belgrade
摘要：Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor matrix are obtained, from which two fundamental bounds for the Sombor energy (= energy of the Sombor matrix) are established. These bounds depend on the Sombor index and on the „forgotten“ topological index. Conclusion: The results of the paper contribute to the spectral theory of the Sombor matrix, as well as to the general spectral theory of matrices associated with vertex-degree-based graph invariants.