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New lower bounds for the first variable Zagreb index

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In this paper we study lower bounds in a unified way for a large family of topological indices, including the first variable Zagreb index M-1(alpha). Our aim is to obtain sharp inequalities and characterize the corresponding extremal graphs. The main results provide lower bounds for several vertex-degree-based topological indices. These bounds are new even for the first Zagreb, the inverse and the forgotten indices. (C) 2021 Elsevier B.V. All rights reserved.

First variable Zagreb indexGraph invariantVertex-degree-based graph invariantTopological index3 SMALLESTGRAPHSTREES

Martinez-Perez, Alvaro、Rodriguez, Jose M.

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Avda Real Fabrica de Seda S-N, Toledo 45600, Spain

Univ Carlos III Madrid

2022

Discrete Applied Mathematics

Discrete Applied Mathematics

EISCI
ISSN:0166-218X
年,卷(期):2022.306
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