Line graph of a hypergraph: Difference between revisions

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A hypergraph is '''linear''' if any two edges have at most one common vertex. Two edges are '''kr-intersecting''' if they share at least kr common vertices. '''A k-uniform''' hypergraph is hypegraph with with each edge of size k. Note that simple graphs are linear 2-uniform hypergraphs (a simple graph is loopless and contains no multiple edges). The intersection graph of a graph is usually called as [[Line Graphgraph]]. The characterization of Line graphs was solved by Van Rooij and Wilf and by Beineke.