Publication Type : Journal Article
Source : Palestine Journal of Mathematics
Url : https://pjm.ppu.edu/sites/default/files/papers/PJM_Special_Issue_II_44_to_48.pdf
Campus : Nagercoil
School : School of Computing
Year : 2023
Abstract : Let R be a commutative ring with identity, Z(R) be its zero-divisors, and H be a nonempty proper multiplicative prime subset of R. The generalized total graph of R is the simple undirected graph GTH(R) with the vertex set R and two distinct vertices x and y are adjacent if and only if x+y ∈ H. In this paper, we investigate the vertex connectivity, edge connectivity and separation of GT(F) for the finite field F. In particular, we prove that κ = κ 0 = δ for GT(F).
Cite this Research Publication : Balamurugan, M., Kathirvel, S. A., & Chelvam, T. T., Connectivity of the complement of generalized total graph of finite fields, Palestine Journal of Mathematics, 12(II) 44-48, 2023.