Geodesic
Some properties of the inverse degree index and coindex of trees
Filomat, Tome 36 (2022) no. 7, p. 2143

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DOI

Let G = (V,E), V = {v1, v2, . . . , vn}, be a simple graph without isolated vertices, with the sequence of vertex degrees d1 ≥ d2 ≥ · · · ≥ dn > 0, di = d(vi). If vertices vi and v j are adjacent in G, we write i ∼ j, otherwise we write i / j. The inverse degree topological index of G is defined to be ID(G) = ∑n i=1 1 di = ∑ i∼ j ( 1 d2i + 1 d2j ) , and the inverse degree coindex ID(G) = ∑ i/ j ( 1 d2i + 1 d2j ) . We obtain a number of inequalities which determine bounds for the ID(G) and ID(G) when G is a tree.
DOI : 10.2298/FIL2207143M
Classification : 05C12, 05C50
Keywords: Topological indices, vertex degree, general zeroth order Randić index 
Bojan Mitić; Emina Milovanović; Marjan Matejić; Igor Milovanović. Some properties of the inverse degree index and coindex of trees. Filomat, Tome 36 (2022) no. 7, p. 2143 . doi: 10.2298/FIL2207143M
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     title = {Some properties of the inverse degree index and coindex of trees},
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     year = {2022},
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