Non-Comaximal Graphs ᴏf Commutative Semirings

Authors

  • Naba K. Tuama University of Thi-Qar/College of Education for Pure Sciences/Department of Mathematics
  • Ahmed H. Alwan

DOI:

https://doi.org/10.32792/jeps.v15i1.486

Keywords:

Non-comaximal graph, Semiring, Maximal ideal, Diameter, Girth

Abstract

Let ϛ be a commutative semiring with identity. The non-comaximal graph ᴏf ϛ indicated by ɣ(ϛ)  an undirected graph where ϛ is the ᵴet ᴏf vertices in ɣ(ϛ) and d,e∈ϛ are adjacent if and ᴏnly if ϛd+ϛe≠ϛ. The concepts of connectedness, independent set, clique besides girth of ɣ(ϛ) are discussed.

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Published

2025-03-01