A Solution to a Problem of Jacobson, Kézdy and Lehel
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We solve a problem proposed by Jacobson, Kézdy, and Lehel  concerning the existence of forbidden induced subgraph characterizations of line graphs of linear k-uniform hypergraphs with sufficiently large minimal edge-degree. Actually, we prove that for each k≥3 there is a finite set Z(k) of graphs such that each graph G with minimum edge-degree at least 2k2−3k+1 is the line graph of a linear k-uniform hypergraph if and only if G is a Z(k)-free graph.
KeywordsLine graphs of linear hypergraphs Forbidden induced subgraphs
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