Sombor index and degree-related properties of simplicial networks

Y Shang - Applied Mathematics and Computation, 2022 - Elsevier
Many dynamical effects in biology, social and technological complex systems have recently
revealed their relevance to group interactions beyond traditional dyadic relationships …

[PDF][PDF] Extremal problems for graphical function-indices and f-weighted adjacency matrix

X Li, D Peng - Discrete Math. Lett, 2022 - cfc.nankai.edu.cn
Abstract Let f (x, y)(f (x)) be a symmetric real function (real function) and G=(V, E) be a graph.
Denote by di the degree of a vertex i in G. The graphical function-index TIf (G)(Hf (G)) of G …

Complete solution to open problems on exponential augmented Zagreb index of chemical trees

S Mondal, KC Das - Applied Mathematics and Computation, 2024 - Elsevier
One of the crucial problems in combinatorics and graph theory is characterizing extremal
structures with respect to graph invariants from the family of chemical trees. Cruz et …

Characterizing interconnection networks in terms of complexity via entropy measures

J Zhang, A Fahad, M Mukhtar, A Raza - Symmetry, 2023 - mdpi.com
One of the most recent advancements in graph theory is the use of a multidisciplinary
approach to the investigation of specific structural dependent features, such as physico …

On exponential geometric-arithmetic index of graphs

KC Das, S Mondal - Journal of Mathematical Chemistry, 2023 - Springer
Investigation of chemical applicability and mathematical properties of topological indices is
the contemporary research trend in chemical graph theory. The geometric arithmetic index …

Unicyclic and bicyclic graphs with maximum exponential second Zagreb index

M Eliasi - Discrete Applied Mathematics, 2022 - Elsevier
The exponential second Zagreb index of a connected graph G, denoted by e M 2 (G), is
defined as the sum of the weights ed G (u) d G (v) over all edges uv∈ E (G), where d G (u) …

Open problem on the maximum exponential augmented Zagreb index of unicyclic graphs

KC Das, S Mondal, D Huh - Computational and Applied Mathematics, 2024 - Springer
A topological index is a numerical property of a molecular graph that explains structural
features of molecules. The potential of topological indices to discriminate between distinct …

The Exponential Second Zagreb Index of (nm)-Graphs

C Xu, B Horoldagva, L Buyantogtokh - Mediterranean Journal of …, 2023 - Springer
The exponential second Zagreb index of a graph G is defined as e M 2 (G)=∑ xy∈ E (G)
edxdy, where dx is the degree of vertex x. Recently, Eliasi (Discrete Appl Math 307: 172 …

[PDF][PDF] Extremal problems on exponential vertex-degree-based topological indices

JM Sigarreta - Math. Biosci. Eng, 2022 - aimspress.com
In this work we obtain new lower and upper optimal bounds for general (exponential)
indices of a graph. In the same direction, we show new inequalities involving some well …

On ve-Degree Irregularity Index of Graphs and Its Applications as Molecular Descriptor

KC Das, S Mondal - Symmetry, 2022 - mdpi.com
Most of the molecular graphs in the area of mathematical chemistry are irregular. Therefore,
irregularity measure is a crucial parameter in chemical graph theory. One such measure that …