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þ-energy of generalized petersen graphs
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نویسنده
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joshi prajakta ,joseph mayamma
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منبع
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communications in combinatorics and optimization - 2022 - دوره : 7 - شماره : 1 - صفحه:1 -16
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چکیده
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For a given graph 𝐺, its 𝓅-energy is the sum of the absolute values of the eigenvalues of the 𝓅-matrix of 𝐺. in this article, we explore the 𝓅-energy of generalized petersen graphs 𝐺(𝑝,𝑘) for various vertex partitions such as independent, domatic, total domatic and k ply domatic partitions and partition containing a perfect matching in 𝐺(𝑝,𝑘) further, we present a python program to obtain the 𝓅-energy of 𝐺(𝑝,𝑘) for the vertex partitions under consideration and examine the relation between them.
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کلیدواژه
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graph energy ,partition matrix ,𝓅-matrix ,independent partition ,domatic partition ,total domatic partition ,𝑘-ply domatic partition
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آدرس
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christ (deemed to be university), department of mathematics, india, christ (deemed to be university), department of mathematics, india
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پست الکترونیکی
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mayamma.joseph@christuniversity.in
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Authors
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