Annihilator graphs with four vertices

作者：Sakhdari Seyed Mohammad; Khashyarmanesh Kazem^*; Afkhami Mojgan

来源：Semigroup Forum, 2017, 94(1): 139-166.

DOI：10.1007/s00233-016-9833-6

• Zero-divisor graph
• Annihilator graph
• Star graph
• Connected graph
• Isolated vertex
• End vertex

In this paper, we characterize all commutative semigroups with zero S such that their annihilator graphs have four vertices. Moreover, we give a complete (up to isomorphism) description of all pairs (G, S), where G is a graph and S is a commutative semigroup such that G is the annihilator graph of S and G has four vertices.

• 出版日期2017-2