## Find a copy online

## Find a copy in the library

Finding libraries that hold this item...

## Details

Material Type: | Document, Internet resource |
---|---|

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Martin Grohe |

ISBN: | 9781139028868 1139028863 9781107014527 1107014522 |

OCLC Number: | 1012745425 |

Notes: | Title from publisher's bibliographic system (viewed on 30 Aug 2017) |

Description: | 1 Online-Ressource (ix, 543 Seiten) PDF file(Seiten) |

Contents: | 1. Introduction; Part I. The Basic Theory: 2. Background from graph theory and logic; 3. Descriptive complexity; 4. Treelike decompositions; 5. Definable decompositions; 6. Graphs of bounded tree width; 7. Ordered treelike decompositions; 8. 3-Connected components; 9. Graphs embeddable in a surface; Part II. Definable Decompositions of Graphs with Excluded Minors: 10. Quasi-4-connected components; 11. K5-minor free graphs; 12. Completions of pre-decompositions; 13. Almost planar graphs; 14. Almost planar completions; 15. Almost embeddable graphs; 16. Decompositions of almost embeddable graphs; 17. Graphs with excluded minors; 18. Bits and pieces; Appendix. Robertson and Seymour's version of the local structure theorem; References; Symbol index; Index. |

Series Title: | Lecture notes in logic, 47 |

Responsibility: | Martin Grohe |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

'The book is divided evenly into two parts. Part I gives background and definitions of the main notions, and makes the book self-contained. Many results from descriptive complexity theory, and the author's earlier results, are clearly presented. Part II is devoted to the main theorem about graphs with excluded minors. The book ends with a symbol index and an index.' Pascal Michel, Mathematical Reviews 'The book is divided evenly into two parts. Part I gives background and definitions of the main notions, and makes the book self-contained. Many results from descriptive complexity theory, and the author's earlier results, are clearly presented. Part II is devoted to the main theorem about graphs with excluded minors. The book ends with a symbol index and an index.' Pascal Michel, Mathematical Reviews Read more...

*User-contributed reviews*