Relations Between the Energy and Topological Indices of a Graph
Akbar Jahanbani, Seyed Mahmoud Sheikholeslami, Slobodan Filipovski
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Source: Crossref
Published: Jul 10, 2023
DOI: 10.1007/s00009-023-02465-4
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Abstract In this paper, we give various lower and upper bounds for the energy of graphs in terms of several topological indices of graphs: the first general multiplicative Zagreb index, the general Randić index, the general zeroth-order Randić index, the redefined Zagreb indices, and the atom-bond connectivity index. Moreover, we obtain new bounds for the energy in terms of certain graph invariants as diameter, girth, algebraic connectivity and radius.
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