Mohammad R. Piri

collaborators

4 papers

math.CO2020

On the edge chromatic vertex stability number of graphs

Saeid Alikhani, Mohammad R. Piri

For an arbitrary invariant $ρ (G)$ of a graph $G$ , the $ρ -$ vertex stability number $v s_{ρ} (G)$ is the minimum number of vertices of $G$ whose removal results in a graph $H \subseteq G$ …

math.CO2020

Introduction to dominated edge chromatic number of a graph

Mohammad R. Piri, Saeid Alikhani

We introduce and study the dominated edge coloring of a graph. A dominated edge coloring of a graph $G$ is a proper edge coloring of $G$ such that each color class is dominated by…

math.CO2019

Dominated chromatic number of some operations on a graph

Saeid Alikhani, Mohammad R. Piri

Let $G$ be a simple graph. The dominated coloring of a graph $G$ is a proper coloring of $G$ such that each color class is dominated by at least one vertex. The minimum number of c…

math.CO2019

On the dominated chromatic number of certain graphs

Saeid Alikhani, Mohammad R. Piri

Let $G$ be a simple graph. The dominated coloring of $G$ is a proper coloring of $G$ such that each color class is dominated by at least one vertex. The minimum number of colors ne…