On the complexity of finding chordless paths in bipartite graphs and some interval operators in graphs and hypergraphs

AbstractIn this paper we show that the problem of finding a chordless path between a vertex s and a vertex t containing a vertex v remains NP-complete in bipartite graphs, thereby strengthening the previous results on the same problem. We show a relation between this problem and two interval operators: the simple path interval operator in hypergraphs and the even-chorded path interval operator in graphs. We show that the problem of computing the two mentioned intervals is NP-complete