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On the Total Transmission Irregularity of Graphs
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نویسنده
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Azari Mahdieh
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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:27 -30
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چکیده
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For the purpose of measuring the transmission irregularity of graphs, a new structural invariant namedthe total transmission irregularity is proposed for a graph g asirrt tr(g) = 12 xu;v2v (g)jσg(u) − σg(v)j;where σg(u) denotes the transmission of the vertex u in g which is the sum of distances between u and allother vertices of g and the summation runs over all ordered pairs of vertices of g. the aim of this paperis to investigate some basic mathematical properties of the total transmission irregularity and speciallyto study it for some families of product graphs.
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کلیدواژه
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Vertex Transmission ,Transmission Regular Graph ,Product Graphs ,Bound
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آدرس
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Kazerun Branch, Islamic Azad University, Kazerun Branch, Islamic Azad University, Mathematics, Iran
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پست الکترونیکی
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azari@kau.ac.ir
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Authors
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