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math.CO2020
A graph related to Euler function
Nima Ghanbari, Saeid Alikhani
Euler function is the number of positive integers less than and relatively prime to . Suppose that and . Let $A\subseteq \mathbb{N…
math.CO2020
On the edge chromatic vertex stability number of graphs
Saeid Alikhani, Mohammad R. Piri
For an arbitrary invariant of a graph , the vertex stability number is the minimum number of vertices of whose removal results in a graph …
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 is a proper edge coloring of such that each color class is dominated by…