Article ID Journal Published Year Pages File Type
4652465 Electronic Notes in Discrete Mathematics 2009 7 Pages PDF
Abstract

In this work we consider the problem of finding a minimum Ck-transversal (a subset of vertices hitting all the induced chordless cycles with k vertices) in a graph with bounded maximum degree. In particular, we seek for dichotomy results as follows: for a fixed value of k, finding a minimum Ck-transversal is polynomial-time solvable if k⩽p, and NP-hard otherwise.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics