On the Randić index and its variants of network data

M Yuan - TEST, 2024 - Springer
Abstract Summary statistics play an important role in network data analysis. They can
provide us with meaningful insight into the structure of a network. The Randić index is one of …

Mitigating prior errors in causal structure learning: Towards llm driven prior knowledge

L Chen, T Ban, X Wang, D Lyu, H Chen - arxiv preprint arxiv:2306.07032, 2023 - arxiv.org
Causal structure learning, a prominent technique for encoding cause and effect
relationships among variables, through Bayesian Networks (BNs). Merely recovering causal …

[PDF][PDF] Computational and analytical studies of the harmonic index in Erdös–Rényi models

CT Martınez-Martınez… - … Math. Comput. Chem, 2021 - e-archivo.uc3m.es
A main topic in the study of topological indices is to find bounds of the indices involving
several parameters and/or other indices. In this paper we perform statistical (numerical) and …

Normalized Sombor indices as complexity measures of random networks

R Aguilar-Sánchez, JA Méndez-Bermúdez… - Entropy, 2021 - mdpi.com
We perform a detailed computational study of the recently introduced Sombor indices on
random networks. Specifically, we apply Sombor indices on three models of random …

Vertex-degree based topological indices of digraphs

J Monsalve, J Rada - Discrete Applied Mathematics, 2021 - Elsevier
Let D n be the set of digraphs with n non-isolated vertices. Let D∈ D n and denote by d u+
and du− the outer degree and inner degree, respectively, of the vertex u of D. We define the …

[HTML][HTML] Revan Sombor indices: Analytical and statistical study

VR Kulli, JA Mendez-Bermudez… - Mathematical …, 2023 - aimspress.com
In this paper, we perform analytical and statistical studies of Revan indices on graphs $ G $:
$ R (G)=\sum_ {uv\in E (G)} F (r_u, r_v) $, where $ uv $ denotes the edge of $ G …

Certain topological indices and polynomials for the Isaac graphs

P Poojary, A Raghavendra, BG Shenoy… - Journal of Discrete …, 2021 - Taylor & Francis
Isaac graphs, denoted by Jn is a well known regular graph. Isaac graphs are isomorphic to
hydrogen-suppressed molecular graphs. The invariants considered in this note and applied …

Spacing ratio characterization of the spectra of directed random networks

T Peron, BMF de Resende, FA Rodrigues, LF Costa… - Physical Review E, 2020 - APS
Previous literature on random matrix and network science has traditionally employed
measures derived from nearest-neighbor level spacing distributions to characterize the …

Computational properties of general indices on random networks

R Aguilar-Sánchez, IF Herrera-González… - Symmetry, 2020 - mdpi.com
We perform a detailed (computational) scaling study of well-known general indices (the first
and second variable Zagreb indices, M 1 α (G) and M 2 α (G), and the general sum …

On the variable inverse sum deg index: theory and applications

JA Méndez-Bermúdez, R Reyes, JM Sigarreta… - Journal of Mathematical …, 2024 - Springer
A large number of topological indices of the form∑ uv∈ E (G) F (du, dv) are studied in
mathematical chemistry, where uv denotes the edge of the graph G connecting the vertices u …