Semi Unit Graphs of Commutative Semi Rings

Yaqoub Ahmed; M. Aslam

doi:10.26713/cma.v10i3.1203

Authors

Yaqoub Ahmed Department of Mathematics, GC University, Lahore
M. Aslam Department of Mathematics, GC University, Lahore

DOI:

https://doi.org/10.26713/cma.v10i3.1203

Keywords:

Semirings, Semiunits, $k$-ideals, Graphs

Abstract

In this article, we introduce semi unit graph of semiring $S$ denoted by $\xi(S)$. The set of all elements of $S$ are vertices of this graph where distinct vertices $x$ and $y$ are adjacent if and only if $x+y$ is a semiunit of $S$. We investigate some of the properties and characterization results on connectedness, distance, diameter, girth, completeness and connectivity of $\xi(S)$.

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