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on extremal values of total structure connectivity and narumi-katayama indices on the class of all unicyclic and bicyclic graphs
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نویسنده
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manian mohammad ali ,heidarian shahram ,khaksar haghani farhad
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منبع
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iranian journal of mathematical chemistry - 2023 - دوره : 14 - شماره : 3 - صفحه:171 -181
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چکیده
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the total structure connectivity and narumi-katayama indices of a simple graph $g$ are defined as $ts(g)={prod_{{u}in{v(g)}}}{frac{1}{sqrt {{d_{u}}}}}$ and $ nk(g)={prod_{{u}in{v(g)}}{{d_{u}}}}$ respectively, where $d _{u} $ represents the degree of vertex $ u $ in $ g $. in this paper, we determine the extremal values of total structure connectivity index on the class of unicyclic and bicyclic graphs and characterize the corresponding extremal graphs. in addition, we determine the bicyclic graphs extremal with respect to the narumi-katayama index.
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کلیدواژه
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graph transformations ,unicyclic graphs ,bicyclic graphs ,total structure connectivity index ,narumi-katayama index
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آدرس
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islamic azad university, shahrekord branch, department of mathematics, iran, islamic azad university, shahrekord branch, department of mathematics, iran, islamic azad university, shahrekord branch, department of mathematics, iran
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پست الکترونیکی
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haghani1351@yahoo.com
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Authors
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