On the generalized ABS index of graphs
Abstract: The atom-bond sum-connectivity (ABS) index is a recently introduced variant of three earlier much-studied graph-based molecular descriptors: Randić, atom-bond connectivity, and sum-connectivity indices. The general atom-bond sum-connectivity index is defined as 〖ABS〗_α (G)=∑_(uv∈E(G))▒〖((d_u+d_v-2)/(d_u+d_v ))〗^α , where α is a real number. In this paper, we present some upper and lower bounds on the general atom-bond sum-connectivity index in terms of graph parameters and other graph indices.
engleski
2023
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Keywords: Atom-bond sum-connectivity index; Generalized atom-bond sum-connectivity index; Bounds; Graph indices.