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 ...
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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 The second part is more advanced and mainly devoted to the proof of a single, previously unpublished theorem: properties of graphs with excluded minors are decidable in polynomial time if, and only if, they are definable in fixed-point logic with counting.
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Add this copy of Descriptive Complexity, Canonisation, and Definable to cart. $200.93, like new condition, Sold by Books2anywhere rated 5.0 out of 5 stars, ships from Fairford, GLOUCESTERSHIRE, UNITED KINGDOM, published 2017 by Cambridge University Press.
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Add this copy of Lecture Notes in Logic: Series Number 47: Descriptive to cart. $270.08, new condition, Sold by Kennys.ie rated 5.0 out of 5 stars, ships from Galway, IRELAND, published 2017 by Cambridge University Press.
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New. This groundbreaking, yet accessible book explores the interaction between graph theory and computational complexity using methods from finite model theory. Series: Lecture Notes in Logic. Num Pages: 530 pages, 60 b/w illus. BIC Classification: PBCD; PBD; PBV; UMB; UYA. Category: (P) Professional & Vocational. Dimension: 228 x 152...2017. 1st Edition. Hardcover.....We ship daily from our Bookshop.
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