SHARP BOUNDS ON THE AUGMENTED ZAGREB INDEX OF GRAPH OPERATIONS.

Autor: DEHGARDI, N., ARAM, H.
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Zdroj: Kragujevac Journal of Mathematics; 2020, Vol. 44 Issue 4, p509-522, 14p
Abstrakt: Let G be a finite and simple graph with edge set E(G). The augmented Zagreb index of G is AZI (G) = ∑uv∈E(G)(dG (u)dG (v)/dG (u) + dG (v) - 2)³ where dG(u) denotes the degree of a vertex u in G. In this paper, we give some bounds of this index for join, corona, cartesian and composition product of graphs by general sum-connectivity index and general Randić index and compute the sharp amount of that for the regular graphs. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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