

Upper and Lower Bounds For the First and Second Zagreb Indices of Quasi Bicyclic Graphs





نویسنده

Aghel Majid ,Erfanian Ahmad ,DehghanZadeh Tayebeh

منبع

Iranian Journal Of Mathematical Chemistry  2021  دوره : 12  شماره : 2  صفحه:79 88



چکیده

The aim of this paper is to give an upper and lower bounds for the first and second zagreb indices of quasi bicyclic graphs. for a simple graph g, we denote m1(g) and m2(g), as the sum of deg2(u) overall vertices u in g and the sum of deg(u)deg(v) of all edges uv of g, respectively. the graph g is called quasi bicyclic graph if there exists a vertex x ∈ v (g) such that g−x is a connected bicyclic graph. the results mentioned in this paper, are mostly new or an improvement of results given by authors for quasi unicyclic graphs in [1].

کلیدواژه

First Zagreb Index ,Second Zagreb Index ,Quasi Bicyclic Graphs

آدرس

Ferdowsi University Of Mashhad, Center Of Excellence In Analysis On Algebraic Structures, Department Of Pure Mathematics, Iran, Ferdowsi University Of Mashhad, Center Of Excellence In Analysis On Algebraic Structures, Department Of Pure Mathematics, Iran, University Of Kashan, Faculty Of Mathematical Sciences, Department Of Pure Mathematics, Iran

پست الکترونیکی

ta.dehghanzadeh@gmail.com












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