The competition hypergraphs of doubly partial orders

Details The competition hypergraphs of doubly partial orders The competition hypergraphs of doubly partial orders

2011-11-18

arxiv.org/abs/1111.4375v2

Mathematics

Combinatorics

12 pages, 6 figures

Scientific paper

Since Cho and Kim (2005) had shown that the competition graph of a doubly partial order is an interval graph, it has been actively studied whether or not the same phenomenon occurs for other variants of competition graph and interesting results have been obtained. Continuing in the same spirit, we study the competition hypergraph, an interesting variant of competition graph, of a doubly partial order. Though it turns out that the competition hypergraph of a doubly partial order is not always interval, we completely characterize the competition hypergraphs of doubly partial orders which are interval.

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