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on the trees with given matching number and the modified first zagreb connection index
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نویسنده
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noureen sadia ,bhatti akhlaq ahmad
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منبع
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iranian journal of mathematical chemistry - 2021 - دوره : 12 - شماره : 3 - صفحه:127 -138
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چکیده
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The modified first zagreb connection index zc^∗1 for a graph g is defined as zc^∗1 (g) = sum v∈v (g) dvτv , where dv is the degree of the vertex v and τv denotes the connection number of v (that is, the number of vertices at the distance 2 from the vertex v). let tn,α be the class of trees with order n and matching number α such that n > 2α−1. in this paper, we obtain the lower bounds on the modified first zagreb connection index of trees belonging to the class tn,α, for 2α − 1 < n < 3α + 2.
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کلیدواژه
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extremal graph theory ,modified first zagreb connection index ,matching number ,trees
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آدرس
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national university of computer and emerging sciences, lahore campus, department of sciences and humanities, pakistan. university of gujrat, faculty of science, department of mathematics, pakistan, national university of computer and emerging sciences, lahore campus, department of sciences and humanities, pakistan
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Authors
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