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Representation theorems for graphs whose the vertex set is partially ordered
Affiliation:Laboratoire ARTEMIS, I.M.A.G., 38402 St Martin d''Heres, France
Abstract:Given a graph G = (X, E), we try to know when it is possible to consider G as the intersection graph of a finite hypergraph, when some restrictions are given on the inclusion order induced on the edge set of this hypergraph.We give some examples concerning the interval graphs and the circular graphs.
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