Nima Ghanbari

activity

20142026

most citedSombor Index of Polymers

11 citations · 27 across the 34 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.HO2024

Golden ratio in graph theory: A survey

Saeid Alikhani, Nima Ghanbari

Much has been written about the golden ratio $ϕ = \frac{1 + 5}{2}$ and this strange number appears mysteriously in many mathematical calculations. In this article, we review the…

math.CO2024

Counting the Number of Domatic Partition of a Graph

Saeid Alikhani, Davood Bakhshesh, Nima Ghanbari

A subset of vertices $S$ of a graph $G$ is a dominating set if every vertex in $V ∖ S$ has at least one neighbor in $S$ . A domatic partition is a partition of the vertices…

math.CO2024

Elliptic Sombor energy of a graph

Saeid Alikhani, Nima Ghanbari, Mohammad Ali Dehghanizadeh

Let $G$ be a simple graph with vertex set $V (G) = {v_{1}, v_{2}, \dots, v_{n}}$ . The elliptic Sombor matrix of $G$ , denoted by $A_{E S O} (G)$ , is defined as the $n \times n$ matrix whose…

math.CO2024

Strong coalitions in graphs

Hamidreza Golmohammadi, Saeid Alikhani, Nima Ghanbari +2

For a graph $G = (V, E)$ , a set $D \subset V (G)$ is a strong dominating set of $G$ , if for every vertex $x \in V (G) ∖ D$ there is a vertex $y \in D$ with $x y \in E (G)$ and $deg(x…