Geodesic
Some mathematical properties of the geometric–arithmetic index/coindex of graphs
Filomat, Tome 35 (2021) no. 15, p. 5045

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DOI

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 √ did j di+d j , whereas the geometric–arithmetic coindex as GA(G) = ∑ i/ j 2 √ did j di+d j . New lower bounds for GA(G) and GA(G) in terms of some graph parameters and other invariants are obtained
DOI : 10.2298/FIL2115045S
Classification : 05C12, 05C50, 15A18
Keywords: Topological indices, vertex degree, geometric–arithmetic index/coindex 
S Stankov; M Matejić; I Milovanović; E Milovanović. Some mathematical properties of the geometric–arithmetic index/coindex of graphs. Filomat, Tome 35 (2021) no. 15, p. 5045 . doi: 10.2298/FIL2115045S
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     title = {Some mathematical properties of the geometric{\textendash}arithmetic index/coindex of graphs},
     journal = {Filomat},
     pages = {5045 },
     year = {2021},
     volume = {35},
     number = {15},
     doi = {10.2298/FIL2115045S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2115045S/}
}
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