Title of article :
On the connectivity of Γ(R_1 ◦ R_2)
Author/Authors :
Ghasemi Khangahi ، Zeinab Department of Mathematics - Islamic Azad University, Khoy Branch , Varmazyar ، Rezvan Department of Mathematics - Islamic Azad University, Khoy Branch
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 connectedand diam(Γ(R1 ◦ R2)) ≤ 2. We get the several expressions for finding theconnectivity κ(Γ(R1 ◦ R2)) when certain conditions are given
Keywords :
Lexicographic product , connectivity , vertex , cut , zero , divisor graph
Journal title :
Journal of Discrete Mathematics and Its Applications
Journal title :
Journal of Discrete Mathematics and Its Applications
