Cycle transversals in bounded degree graphs

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-trans...

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Autores principales: Groshaus, M., Hell, P., Klein, S., Nogueira, L.T., Protti, F.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15710653_v35_nC_p189_Groshaus
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Sumario: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. © 2009 Elsevier B.V. All rights reserved.