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2013 | OriginalPaper | Buchkapitel

15. Depth-First Search and the Plehn–Voigt Theorem

verfasst von : Rodney G. Downey, Michael R. Fellows

Erschienen in: Fundamentals of Parameterized Complexity

Verlag: Springer London

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Abstract

In this chapter, we explore two methods for proving fixed-parameter tractability results based on the basic graph-theoretic algorithmic technique of depth-first search. These methods also build upon and extend the bounded-treewidth ideas of Chap. 12.

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Literatur
71.
Zurück zum Zitat H. Bodlaender, On linear time minor tests and depth-first search, in Algorithms and Data Structures, Proceedings of Workshop WADS 1989, Ottawa, Canada, August 17–19, 1989, ed. by F. Dehne, J.-R. Sack, N. Santoro. LNCS, vol. 382 (Springer, Berlin, 1989), pp. 577–590 H. Bodlaender, On linear time minor tests and depth-first search, in Algorithms and Data Structures, Proceedings of Workshop WADS 1989, Ottawa, Canada, August 17–19, 1989, ed. by F. Dehne, J.-R. Sack, N. Santoro. LNCS, vol. 382 (Springer, Berlin, 1989), pp. 577–590
72.
Zurück zum Zitat H. Bodlaender, On disjoint cycles, Technical Report RUU-CS-90-29, Department of Information and Computing Sciences, Utrecht University, The Netherlands, August 1990 H. Bodlaender, On disjoint cycles, Technical Report RUU-CS-90-29, Department of Information and Computing Sciences, Utrecht University, The Netherlands, August 1990
103.
Zurück zum Zitat B. Bollobiás, Extremal Graph Theory (Dover, New York, 2004) B. Bollobiás, Extremal Graph Theory (Dover, New York, 2004)
237.
Zurück zum Zitat R. Downey, The birth and early years of parameterized complexity, in The Multivariate Algorithmic Revolution and Beyond: Essays Dedicated to Michael R. Fellows on the Occasion of His 60th Birthday, ed. by H. Bodlaender, R. Downey, F. Fomin, D. Marx. LNCS, vol. 7370 (Springer, Berlin, 2012), pp. 17–38 CrossRef R. Downey, The birth and early years of parameterized complexity, in The Multivariate Algorithmic Revolution and Beyond: Essays Dedicated to Michael R. Fellows on the Occasion of His 60th Birthday, ed. by H. Bodlaender, R. Downey, F. Fomin, D. Marx. LNCS, vol. 7370 (Springer, Berlin, 2012), pp. 17–38 CrossRef
241.
Zurück zum Zitat R. Downey, M. Fellows, Fixed-parameter tractability and completeness. Congr. Numer. 87, 161–178 (1992) MathSciNet R. Downey, M. Fellows, Fixed-parameter tractability and completeness. Congr. Numer. 87, 161–178 (1992) MathSciNet
247.
Zurück zum Zitat R. Downey, M. Fellows, Parameterized Complexity. Monographs in Computer Science (Springer, Berlin, 1999) CrossRef R. Downey, M. Fellows, Parameterized Complexity. Monographs in Computer Science (Springer, Berlin, 1999) CrossRef
277.
Zurück zum Zitat P. Erdős, L. Pósa, On independent circuits contained in a graph. Can. J. Math. 17, 347–352 (1965) CrossRef P. Erdős, L. Pósa, On independent circuits contained in a graph. Can. J. Math. 17, 347–352 (1965) CrossRef
301.
Zurück zum Zitat M. Fellows, M. Langston, On search, decision and the efficiency of polynomial time algorithms, in Proceedings of 21st ACM Symposium on Theory of Computing (STOC ’89), Seattle, Washington, USA, May 15–May 17, 1989, ed. by D. Johnson (ACM, New York, 1989), pp. 501–512. http://dl.acm.org/citation.cfm?id=73055 M. Fellows, M. Langston, On search, decision and the efficiency of polynomial time algorithms, in Proceedings of 21st ACM Symposium on Theory of Computing (STOC ’89), Seattle, Washington, USA, May 15–May 17, 1989, ed. by D. Johnson (ACM, New York, 1989), pp. 501–512. http://​dl.​acm.​org/​citation.​cfm?​id=​73055
400.
479.
Zurück zum Zitat M. Langston, Fixed parameter tractability, a prehistory. A Festschrift contribution devoted to Michael R. Fellows on the occasion of his 60th birthday, in The Multivariate Algorithmic Revolution and Beyond: Essays Dedicated to Michael R. Fellows on the Occasion of His 60th Birthday, ed. by H. Bodlaender, R. Downey, F. Fomin, D. Marx. LNCS, vol. 7370 (Springer, Berlin, 2012), pp. 3–16 CrossRef M. Langston, Fixed parameter tractability, a prehistory. A Festschrift contribution devoted to Michael R. Fellows on the occasion of his 60th birthday, in The Multivariate Algorithmic Revolution and Beyond: Essays Dedicated to Michael R. Fellows on the Occasion of His 60th Birthday, ed. by H. Bodlaender, R. Downey, F. Fomin, D. Marx. LNCS, vol. 7370 (Springer, Berlin, 2012), pp. 3–16 CrossRef
503.
Zurück zum Zitat W. Mader, Existenz n-Fach zusammenhängender Teilgraphen in Graphen genügend großer Kantendichte. Abh. Math. Semin. Univ. Hamb. 37, 86–97 (1972) MathSciNetCrossRefMATH W. Mader, Existenz n-Fach zusammenhängender Teilgraphen in Graphen genügend großer Kantendichte. Abh. Math. Semin. Univ. Hamb. 37, 86–97 (1972) MathSciNetCrossRefMATH
534.
Zurück zum Zitat B. Monien, How to find long paths efficiently. Ann. Discrete Math. 25, 239–254 (1985) MathSciNet B. Monien, How to find long paths efficiently. Ann. Discrete Math. 25, 239–254 (1985) MathSciNet
562.
Zurück zum Zitat J. Plehn, B. Voigt, Finding minimally weighted subgraphs, in Graph-Theoretic Concepts in Computer Science: 16th International Workshop, WG 1990, Revised Papers, Berlin, Germany, June 1990, ed. by R. Möhring. LNCS, vol. 484 (Springer, Berlin, 1990), pp. 18–29 CrossRef J. Plehn, B. Voigt, Finding minimally weighted subgraphs, in Graph-Theoretic Concepts in Computer Science: 16th International Workshop, WG 1990, Revised Papers, Berlin, Germany, June 1990, ed. by R. Möhring. LNCS, vol. 484 (Springer, Berlin, 1990), pp. 18–29 CrossRef
Metadaten
Titel
Depth-First Search and the Plehn–Voigt Theorem
verfasst von
Rodney G. Downey
Michael R. Fellows
Copyright-Jahr
2013
Verlag
Springer London
DOI
https://doi.org/10.1007/978-1-4471-5559-1_15