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on the spectral radius, energy and estrada index of the sombor matrix of graphs
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نویسنده
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miao lianying ,zhou ting ,lin zhen
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منبع
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transactions on combinatorics - 2023 - دوره : 12 - شماره : 4 - صفحه:191 -205
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چکیده
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Let g be a simple undirected graph with vertex set v(g)={v_1, v_2,ldots,v_n} and edge set e(g). the sombor matrix mathcal{s}(g) of a graph g is defined so that its (i,j)-entry is equal to sqrt{d_i^2+d_j^2} if the vertices v_i and v_j are adjacent, and zero otherwise, where d_i denotes the degree of vertex v_i in g. in this paper, lower and upper bounds on the spectral radius, energy and estrada index of the sombor matrix of graphs are obtained, and the respective extremal graphs are characterized.
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کلیدواژه
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sombor matrix ,sombor spectral radius ,sombor energy ,sombor estrada index
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آدرس
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china university of mining and technology, school of mathematics, china, china university of mining and technology, school of mathematics, china, qinghai normal university, school of mathematics and statistics, the state key laboratory of tibetan intelligent information processing and applicationthe state key laboratory of tibetan intelligent information processing and application, china
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پست الکترونیکی
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lnlinzhen@163.com
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Authors
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