### Abstract

We study reconfiguration problems for cliques in a graph, which determine whether there exists a sequence of cliques that transforms a given clique into another one in a step-by-step fashion. As one step of a transformation, we consider three different types of rules, which are defined and studied in reconfiguration problems for independent sets. We first prove that all the three rules are equivalent in cliques. We then show that the problems are PSPACE-complete for perfect graphs, while we give polynomial-time algorithms for several classes of graphs, such as even-hole-free graphs and cographs. In particular, the shortest variant, which computes the shortest length of a desired sequence, can be solved in polynomial time for chordal graphs, bipartite graphs, planar graphs, and bounded treewidth graphs.

Original language | English |
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Title of host publication | Theory and Applications of Models of Computation - 12th Annual Conference, TAMC 2015, Proceedings |

Editors | Rahul Jain, Sanjay Jain, Frank Stephan |

Publisher | Springer-Verlag |

Pages | 212-223 |

Number of pages | 12 |

ISBN (Electronic) | 9783319171418 |

DOIs | |

Publication status | Published - 2015 Jan 1 |

Event | 12th Annual Conference on Theory and Applications of Models of Computation, TAMC 2015 - Singapore, Singapore Duration: 2015 May 18 → 2015 May 20 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 9076 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 12th Annual Conference on Theory and Applications of Models of Computation, TAMC 2015 |
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Country | Singapore |

City | Singapore |

Period | 15/5/18 → 15/5/20 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

*Theory and Applications of Models of Computation - 12th Annual Conference, TAMC 2015, Proceedings*(pp. 212-223). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9076). Springer-Verlag. https://doi.org/10.1007/978-3-319-17142-5_19