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Upper and Lower Bounds for Generalized Wiener Indices on unicyclic graphs

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arxiv 2201.05539 v1 pith:NQML4TQZ submitted 2022-01-14 math.CO

Álvaro Martínez-Pérez , osé M. Rodríguez This is my paper · ORCID
classification math.CO
keywords graphsboundsindiceslowerunicyclicupperwienercharacterize
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The aim of this paper is to obtain new inequalities for a large family of generalizations of the Wiener Index and to characterize the set of extremal graphs with respect to them. Our main results provide upper and lower bounds for these topological indices on unicyclic graphs.

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  1. Distance Sequences to bound the Harary Index and other Wiener-type Indices of a Graph

    math.CO 2024-11 conditional novelty 6.0 of 10

    For four graph classes, a single extremal graph simultaneously maximizes every increasing distance-based index and minimizes every decreasing one.

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