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 ξ(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 ξ(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

Issue

Vol. 10 No. 3 (2019)

Section

Research Article

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