On the connectivity of Γ(R_1 ◦ R_2)

نویسندگان
Ghasemi Khangahi, Zeinab ID 1
Varmazyar, Rezvan ID 2

1 Department of Mathematics, Khoy Branch, Islamic Azad University, Khoy 58168-44799, I. R. Iran

2 Department of Mathematics, Khoy Branch, Islamic Azad University, Khoy 58168-44799, I. R. Iran

doi
10.22061/jdma.2024.10816.1071
چکیده

The graph Γ(R1οR2) of the lexicographic product of two commutative rings R1, R2 is considered. It was shown that Γ(R1οR2) is connected and diam(Γ(R1οR2)) ≤ 2. We get the several expressions for finding the connectivity κ(Γ(R1οR2)) when certain conditions are given.

کلیدواژه‌ها
lexicographic product, connectivity, vertex-cut, zero-divisor graph