عنوان
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Using linear programming to find the extremal graphs with minimum degree 1 with respect to Geometric-Arithmetic index
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Geometric-Arithmetic index, Extremal graphs, Linear programming
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چکیده
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Let G be a graph and du the degree of its vertex u. The geometric-arithmetic (GA) index of G is defined GA(G)=Sum((2(du.dv)^(1/2))/(du+dv)) and the summation runs over all edges of G. Let G(1,n) be the set of connected simple graphs of order n with minimum degree 1. In this paper, we use linear programming formulation to find graphs on which the geometric-arithmetic index attains minimum and maximum value.
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پژوهشگران
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محمدرضا رستمی (نفر دوم)، مهدی سهرابی حقیقت (نفر اول)
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