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study of bounds and extremal graphs of symmetric division degree index for bicyclic graphs with perfect matching
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نویسنده
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rajpoot abhay ,selvaganesh lavanya
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منبع
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iranian journal of mathematical chemistry - 2022 - دوره : 13 - شماره : 2 - صفحه:145 -165
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چکیده
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In this article, we complement the study of pan and li by computing the first five minimum values of the symmetric division degree (sdd) index attained by bicyclic graphs that have a perfect matching. one of our main contributions is identifying the graphs that attain the bounds. further, we compute the upper bound of the sdd index for bicyclic graphs with a maximum degree of four, which admits a perfect matching and prove the bound is also tight by identifying the graphs that attain it.
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کلیدواژه
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degree based indices ,symmetric division degree index ,bicyclic graphs ,perfect matching ,extremal graphs
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آدرس
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indian institute of technology (bhu), department of mathematical sciences, india, indian institute of technology (bhu), department of mathematical sciences, india
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پست الکترونیکی
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lavanyas.mat@iitbhu.ac.in
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Authors
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