Geodesic
Some remarks on the general zeroth–order Randić coindex
Filomat, Tome 36 (2022) no. 6, p. 2083

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DOI

Let G = (V,E), V = {v1, v2, . . . , vn}, be a simple connected graph of order n and size m, without isolated vertices. Denote by d1 ≥ d2 ≥ · · · ≥ dn, di = d(vi) a sequence of vertex degrees of G. The general zeroth–order Randić index is defined as 0Rα(G) = ∑n i=1 dαi , where α is an arbitrary real number. The corresponding general zeroth–order Randić coindex is defined via 0Rα(G) = ∑n i=1(n − 1 − di)dαi . Some new bounds for the general zeroth–order Randić coindex and relationship between 0Rα(G) and 0Rα−1(G) are obtained. For a particular values of parameter α a number of new bounds for different topological coindices are obtained as corollaries.
DOI : 10.2298/FIL2206083M
Classification : 05C12, 05C50
Keywords: Topological indices and coindices, vertex degree, general zeroth order Randić coindex 
Marjan Matejić; Igor Milovanović; Emina Milovanović. Some remarks on the general zeroth–order Randić coindex. Filomat, Tome 36 (2022) no. 6, p. 2083 . doi: 10.2298/FIL2206083M
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     title = {Some remarks on the general zeroth{\textendash}order {Randi\'c} coindex},
     journal = {Filomat},
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     doi = {10.2298/FIL2206083M},
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     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206083M/}
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