Advances and Applications in Discrete Mathematics
Volume 29, Issue 2, Pages 111 - 137
(February 2022) http://dx.doi.org/10.17654/0974165822009 |
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ZERO-ANNIHILATOR 3-UNIFORM HYPERGRAPHS ASSOCIATED WITH RIGHT TERNARY NEAR-RINGS
S. Teresa Arockiamary, C. Meera and V. Santhi
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Abstract: 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.
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Keywords and phrases: right ternary near-ring, 3-uniform hypergraph, annihilator, clique number, independence number, balanced incomplete block design |
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