Descriptive Complexity, Canonisation, and Definable Graph Structure Theory (Hardcover)

Lingua: inglese

Editore: Cambridge University Press, Cambridge, 2017

1107014522 / 9781107014527

Serie: Libro 35 di 39 - Lecture Notes in Logic

Da: CitiRetail, Stevenage, Regno UnitoCitiRetail

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Venditore AbeBooks dal 29 giugno 2022

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Hardcover. 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 The second part is more advanced and mainly devoted to the proof of a single, previously unpublished theorem: properties of graphs with excluded minors are decidable in polynomial time if, and only if, they are definable in fixed-point logic with counting. This groundbreaking, yet accessible book contains original results on the interaction between graph theory and computational complexity using methods from finite model theory. As well as a wealth of new, previously unpublished results, the author also gives an account of the established results in the area. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Codice articolo 9781107014527

Titolo
Descriptive Complexity, Canonisation, and Definable Graph Structure Theory (Hardcover)
Autore
Martin Grohe
Editore
Cambridge University Press, Cambridge
Anno di pubblicazione
2017
Condizione
new
Rilegatura
Hardcover
Lingua
inglese
ISBN 10
1107014522
ISBN 13
9781107014527
Serie
Libro 35 di 39: Lecture Notes in Logic

CitiRetail

Stevenage, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 29 giugno 2022

Tariffe di spedizione da Regno Unito a U.S.A.

ArticoloDa 7 a 14 giorni lavorativiDa 7 a 60 giorni lavorativi
Primo articoloEUR 44,26EUR 44,26
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