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On the Aα-Energy and Aα-Resolvent Energy of Graphs
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نویسنده
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Babai Azam ,Golpar-Raboky Effat
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منبع
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كنفرانس نظريه گراف و تركيبيات جبري - 2020 - دوره : 11 - یازدهمین کنفرانس بین المللی نظریه گراف و ترکیبیات جبری ایران - کد همایش: 9919164009 - صفحه:166 -167
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چکیده
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Let g be a graph of order n. also, let a(g), and d(g) be the adjacency matrix and the diagonal matrixof the degrees of g, respectively. nikiforov defined the matrix aα(g) = αd(g) + (1 − α)a(g), where0 ≤ α ≤ 1. the resolvent energy of a graph g is defined as er(g) = pn i=0 n−1λi , where λ1; λ2; : : : ; λnare the eigenvalues of the adjacency matrix of g. in this paper we calculate energy and resolvent energyof aα(g) for some graph g.
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کلیدواژه
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Spectrum Of Graph ,Graph Energy ,Resolvent Energy ,Adjacency Matrix
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آدرس
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University Of Qom, Iran, University Of Qom, Iran
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پست الکترونیکی
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a.raboky@qom.ac.ir
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Authors
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