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On Generalized Atombond Connectivity Index of Cacti
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نویسنده
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Hayat Fazal
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منبع
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Iranian Journal Of Mathematical Chemistry - 2019 - دوره : 10 - شماره : 4 - صفحه:319 -330
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چکیده
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The generalized atombond connectivity index of a graph g is denoted by abca(g) and defined as the sum of weights ((d(u)+d(v)2)/d(u)d(v))aa$ over all edges uv∊g. a cactus is a graph in which any two cycles have at most one common vertex. in this paper, we compute sharp bounds for abca index for cacti of order $n$ with fixed number of cycles and for cacti of order $n$ with given number of pendant vertices. furthermore, we identify all the cacti that achieve the bounds.
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کلیدواژه
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Atombond Connectivity Index ,Cactus ,Extremal Graph ,Pendant Vertices
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آدرس
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South China Normal University, School Of Mathematical Sciences, China
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پست الکترونیکی
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fhayatmaths@gmail.com
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Authors
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