Some mathematical properties of the geometric-arithmetic index/coindex of graphs | Zendy

Stefan Stankov | Zendy; Marjan Matejić | Zendy; Igor Milovanović | Zendy; Emina Milovanović | Zendy

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Some mathematical properties of the geometric-arithmetic index/coindex of graphs

Author(s) -

Stefan Stankov,

Marjan Matejić,

Igor Milovanović,

Emina Milovanović

Publication year - 2021

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil2115045s

Subject(s) - mathematics , combinatorics , vertex (graph theory) , graph , simple graph , discrete mathematics , topological index , degree (music) , arithmetic , physics , acoustics

Let G = (V,E), V = {1,2,...,n}, be a simple connected graph of order n, size m with vertex degree sequence d1 ? d2 ? ... ? dn > 0, di = d(vi). The geometric-arithmetic topological index of G is defined as GA(G) = ? i~j 2? didj/di+dj, whereas the geometric-arithmetic coindex as GA?(G) = ? i~/j 2 ? didj/di+dj . New lower bounds for GA(G) and GA(G) in terms of some graph parameters and other invariants are obtained.

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