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Inverse Problem For the Forgotten and the Hyper Zagreb Indices of Trees
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نویسنده
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Kureethara Joseph Varghese ,Asok Anjusha ,Cangul Ismail Naci
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منبع
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Communications In Combinatorics And Optimization - 2022 - دوره : 7 - شماره : 2 - صفحه:203 -209
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چکیده
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Let g=(e(g),v(g)) be a (molecular) graph with vertex set v(g) and edge set e(g). the forgotten zagreb index and the hyper zagreb index of g are defined by f(g)=∑u∈v(g)d(u)3 and hm(g)=∑uv∈e(g)(d(u)+d(v))2 where d(u) and d(v) are the degrees of the vertices u and v in g, respectively. a recent problem called the inverse problem deals with the numerical realizations of topological indices. we see that there exist trees for all even positive integers with f(g)>88 and with hm(g)>158. along with the result, we show that there exist no trees with f(g)<90 and hm(g)<160 with some exceptional even positive integers and hence characterize the forgotten zagreb index and the hyper zagreb index for trees.
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کلیدواژه
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Topological Index ,Chemical Graph Theory ,The Forgotten Zagreb Index ,The Hyper Zagreb Index
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آدرس
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Christ University, Department Of Mathematics, India, Christ University, Department Of Mathematics, India, Bursa Uludag University, Department Of Mathematics, Turkey
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پست الکترونیکی
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cangul@uludag.edu.tr
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Authors
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