Semi Unit Graphs of Commutative Semi Rings

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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References

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Published

30-09-2019
CITATION

How to Cite

Ahmed, Y., & Aslam, M. (2019). Semi Unit Graphs of Commutative Semi Rings. Communications in Mathematics and Applications, 10(3), 519–530. https://doi.org/10.26713/cma.v10i3.1203

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Section

Research Article