HAUSDORFF PROPERTY OF CARTESIAN
AND WREATH PRODUCT OF HYPERGRAPHS
Seena V1, Raji Pilakkat2
1,2Department of Mathematics
University of Calicut
Malappuram (District), PIN 673 635, Kerala, INDIA
Abstract. A hypergraph $H=(V,\mathcal{E})$ is said to be a Hausdorff hypergraph if for any two distinct vertices $u$ and $v$ of $V$ there exist hyperedges $e_1$, $e_2$ $\in \mathcal{E} $ such that $u\in e_1$, $v\in e_2$ and $e_1\cap e_2 = \emptyset$. In this paper we derive sufficient conditions for cartesian and wreath products of two hypergraphs to be Hausdorff.
AMS Subject Classification: 05C65
Key Words and Phrases: Hausdorff hypergraph, Cartesian product, wreath product


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DOI: 10.12732/ijam.v29i3.10

Volume: 29
Issue: 3
Year: 2016