8 citations · 40 across the 23 of their papers we have counts for
8 papers · 1 filter
On a class of semigroup graphs
Li Chen, Tongsuo Wu
Let be a semigroup graph, i.e., a zero-divisor graph of a semigroup with zero element 0. For any adjacent vertices in , denote $C(x,y)={z\in V(G) | N(z)={x,y…
On realizing zero-divisor graphs of po-semirings
Houyi Yu, Tongsuo Wu
In this paper, we determine bipartite graphs and complete graphs with horns, which are realizable as zero-divisor graphs of po-semirings. As applications, we classify commutative r…
On zero divisors and prime elements of po-semirings
Tongsuo Wu, Dancheng Lu, Yuanlin Li
A semiring is an algebraic structure similar to a ring, but without the requirement that each element must have an additive inverse. A po-semiring is a semiring equipped with a com…
The Structures of Zero-divisor Semigroups with Graph Kn + 1
Tongsuo Wu, Fan Cheng
In this paper, we determine the structures of zero-divisor semigroups whose graph is , the complete graph together with an end vertex. We also present a formula to c…
Sub-semigroups determined by the zero-divisor graph
Tongsuo Wu, Dancheng Lu
In this paper we study sub-semigroups of a zero-divisor semigroup determined by properties of the zero-divisor graph . We use these sub-semigroups to study the correspond…
Simple Graphs and Commutative Zero-Divisor Semigroups
Tongsuo Wu, Li Chen
In this paper, we study commutative zero-divisor semigroups determined by graphs. We prove a uniqueness theorem for a class of graphs. We show two classes of graphs that have no co…