ZERO-ANNIHILATOR 3-UNIFORM HYPERGRAPHS ASSOCIATED WITH RIGHT TERNARY NEAR-RINGS
A ternary algebraic structure and a 3-uniform hypergraph can be associated in many ways. In this paper, a zero-annihilator 3-uniform hypergraph denoted by ZAH3(N) is associated with a right ternary near-ring (RTNR) N. Furthermore, the graph theoretic properties of ZAH3(N) are obtained according to the algebraic nature of RTNR.
right ternary near-ring, 3-uniform hypergraph, annihilator, clique number, independence number, balanced incomplete block design
