Descriptive Complexity, Canonisation, and Definable Graph Structure Theory

Language: English

Published by Cambridge University Press Sep 2017, 2017

1107014522 / 9781107014527

Series: Book 35 of 39 - Lecture Notes in Logic

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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Neuware - Descriptive complexity theory establishes a connection between the computational complexity of algorithmic problems (the computational resources required to solve the problems) and their descriptive complexity (the language resources required to describe the problems). This groundbreaking book approaches descriptive complexity from the angle of modern structural graph theory, specifically graph minor theory. It develops a 'definable structure theory' concerned with the logical definability of graph theoretic concepts such as tree decompositions and embeddings. The first part starts with an introduction to the background, from logic, complexity, and graph theory, and develops the theory up to first applications in descriptive complexity theory and graph isomorphism testing. It may serve as the basis for a graduate-level course. The second part is more advanced and mainly devoted to the proof of a single, previously unpublished theorem: properties of graphs with excluded minors are decidable in polynomial time if, and only if, they are definable in fixed-point logic with counting.

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Title
Descriptive Complexity, Canonisation, and Definable Graph Structure Theory
Author
Martin Grohe
Publisher
Cambridge University Press Sep 2017
Publication year
2017
Condition
Neu
Binding
Buch
Language
English
ISBN 10
1107014522
ISBN 13
9781107014527
Item weight
900 grams
Dimensions
233x156x38 mm
Series
Book 35 of 39: Lecture Notes in Logic

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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