Detecting a Theta or a Prism

Maria Chudnovsky, Rohan Kapadia
2008 SIAM Journal on Discrete Mathematics  
A theta in a graph is an induced subgraph consisting of two nonadjacent vertices joined by three disjoint paths. A prism in a graph is an induced subgraph consisting of two disjoint triangles joined by three disjoint paths. This paper gives a polynomial-time algorithm to test whether a graph has an induced subgraph that is either a prism or a theta.
doi:10.1137/060672613 fatcat:rlomoao4incobj6hg6fiki6kce