23 citations · 28 across the 4 of their papers we have counts for
4 papers
On the Total Graph of a Finite Commutative Ring
Mohammad Hadi Shekarriz, Mohammad Hasan Shirdareh Haghighi, Habib Sharif
Let be a finite commutative ring with . In this article, we study the total graph of , denoted by , determine some of its basic graph-theoretical properties, d…
A Characterization For 2-Self-Centered Graphs
Mohammad Hadi Shekarriz, Madjid Mirzavaziri, Kamyar Mirzavaziri
A Graph is called 2-self-centered if its diameter and radius both equal to 2. In this paper, we begin characterizing these graphs by characterizing edge-maximal 2-self-centered gra…
The Cost of Edge-distinguishing of the Cartesian Product of Connected Graphs
Aleksandra Gorzkowska, Mohammad Hadi Shekarriz
A graph is said to be -distinguishable if there is a vertex coloring of with a set of colors which breaks all of the automorphisms of but the identity. We call t…
Strong Twins of Ordinary Star-Like Self-Contained Graphs
Mohammad Hadi Shekarriz, Madjid Mirzavaziri
A self-contained graph is an infinite graph which is isomorphic to one of its proper induced subgraphs. In this paper, ordinary star-like self-contained graphs are introduced and i…