On the connectivity of Γ(R_1 ◦ R_2)

Document Type : Full Length Article

Authors

Department of Mathematics, Islamic Azad University, Khoy, Iran

Abstract

The graph Γ(R1◦R2) of the lexicographic product of two commutative rings R1; R2 is considered. It was shown that Γ(R1 ◦ R2) is connected
and diam(Γ(R1 ◦ R2)) ≤ 2. We get the several expressions for finding the
connectivity κ(Γ(R1 ◦ R2)) when certain conditions are given

Keywords

Main Subjects


Volume 9, Issue 1
Special Issue of the IGTC 16
2024
Pages 73-79
  • Receive Date: 23 January 2024
  • Revise Date: 02 February 2024
  • Accept Date: 15 February 2024
  • Publish Date: 01 March 2024