activity
20092026
most citedIntroduction to Domination Polynomial of a Graph

14 citations · 82 across the 98 of their papers we have counts for

collaborators

118 papers

math.CO2026

Super Coalition Number in Graphs

Saeid Alikhani, Nima Ghanbari

We introduce and investigate the structural properties of super coalition partitions in graphs, a novel direction that bridges cooperative resource deployment with rigid domination…

math.CO2026

The partition dimension and -domination number of a family of non-distance regular graph

Ali Zafari, Saeid Alikhani

A partition of the vertex set is a resolving partition if every pair of distinct vertices in has a unique representation relative to . T…

math.CO2026

Stability of the Strong Domination Number of Graphs

Saeid Alikhani, Nima Ghanbari, Mazharuddin Mehraban +1

This paper introduces and studies the stability of the strong domination number of a graph, denoted , defined as the minimum number of vertices whose…

math.CO2025

-Fair Coalitions in Graphs

Abbas Jafari, Saeid Alikhani

Let be a simple graph. A subset is called a -fair dominating set if every vertex not in has exactly neighbors in . Two disjoint sets $A, B…

math.CO2025

Stability of -domination number of a graph

Mazharuddin Mehraban, Saeid Alikhani

This paper delves into the stability of the -domination number in simple undirected graphs. The -domination number of a graph , , represents the minimum size of a…

math.CO2025

Fair coalition in graphs

Saeid Alikhani, Abbas Jafari, Maryam Safazadeh

Let be a simple graph. A dominating set of is a subset such that every vertex not in is adjacent to at least one vertex in . The cardinality of…