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20212025
most citedNormalized Sombor indices as complexity measures of random graphs

14 citations · 22 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.CO2025

On the distribution of topological and spectral indices on random graphs

C. T. Martínez-Martínez, R. Aguilar-Sánchez, J. A. Méndez-Bermúdez

We perform a detailed statistical study of the distribution of topological and spectral indices on random graphs in a wide range of connectivity regimes. First, we consid…

math.CO2023

Multiplicative topological indices: Analytical properties and application to random networks

R. Aguilar-Sanchez, J. A. Mendez-Bermudez, Jose M. Rodriguez +1

We make use of multiplicative degree-based topological indices to perform a detailed analytical and statistical study of random networks . We consider two c…

math.CO2022★ 5 cited

Revan-degree indices on random graphs

R. Aguilar-Sanchez, I. F. Herrera-Gonzalez, J. A. Mendez-Bermudez +1

Given a simple connected non-directed graph , we consider two families of graph invariants: (which has gained interest rece…

math.CO2021★ 1 cited

Stolarsky-Puebla index

J. A. Mendez-Bermudez, R. Aguilar-Sanchez, Ricardo Abreu Blaya +1

We introduce a degree-based variable topological index inspired on the Stolarsky mean (known as the generalization of the logarithmic mean). We name this new index as the Stolarsky…

math.CO2021★ 14 cited

Normalized Sombor indices as complexity measures of random graphs

R. Aguilar-Sanchez, J. A. Mendez-Bermudez, Jose M. Rodriguez +1

We perform a detailed computational study of the recently introduced Sombor indices on random graphs. Specifically, we apply Sombor indices on three models of random graphs: Erdös-…

math.CO2021★ 1 cited

Analytical and computational properties of the variable symmetric division deg index

R. Aguilar-Sanchez, J. A. Mendez-Bermudez, Jose M. Rodriguez +1

The aim of this work is to obtain new inequalities for the variable symmetric division deg index , and to characterize grap…