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Using contracted solution graphs for solving reconfiguration problems

Bonsma, P.; Paulusma, D.

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Authors

P. Bonsma



Contributors

P. Faliszewski
Editor

A. Muscholl
Editor

R. Niedermeier
Editor

Abstract

We introduce a dynamic programming method for solving reconfiguration problems, based on contracted solution graphs, which are obtained from solution graphs by performing an appropriate series of edge contractions that decrease the graph size without losing any critical information needed to solve the reconfiguration problem under consideration. As an example, we consider a well-studied problem: given two k-colorings alpha and beta of a graph G, can alpha be modified into beta by recoloring one vertex of G at a time, while maintaining a k-coloring throughout? By applying our method in combination with a thorough exploitation of the graph structure we obtain a polynomial-time algorithm for (k-2)-connected chordal graphs.

Citation

Bonsma, P., & Paulusma, D. (2016). Using contracted solution graphs for solving reconfiguration problems. In P. Faliszewski, A. Muscholl, & R. Niedermeier (Eds.), 41st International Symposium on Mathematical Foundations of Computer Science, MFCS 2016, August 22–26, 2016, Kraków, Poland. https://doi.org/10.4230/lipics.mfcs.2016.20

Conference Name 41st International Symposium on Mathematical Foundations of Computer Science (MFCS 2016)
Conference Location Krakow, Poland
Start Date Aug 22, 2016
End Date Aug 26, 2016
Acceptance Date Jun 5, 2016
Publication Date Aug 1, 2016
Deposit Date Oct 13, 2016
Publicly Available Date Mar 29, 2024
Series Title LIPIcs : Leibniz international proceedings in informatics
Series Number 58
Series ISSN 1868-8969
Book Title 41st International Symposium on Mathematical Foundations of Computer Science, MFCS 2016, August 22–26, 2016, Kraków, Poland.
DOI https://doi.org/10.4230/lipics.mfcs.2016.20
Public URL https://durham-repository.worktribe.com/output/1149794

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