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Item Details
Title: COMPLEXITY DICHOTOMIES FOR COUNTING PROBLEMS: VOLUME 1, BOOLEAN DOMAIN
By: Jin-Yi Cai, Xi Chen
Format: Hardback

List price: £141.00
Our price: £126.90
Discount:
10% off
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ISBN 10: 1107062373
ISBN 13: 9781107062375
Availability: Usually dispatched within 1-3 weeks.
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 30 September, 2017
Pages: 320
Description: A sweeping classification theory for computational counting problems using new techniques and theories.
Synopsis: Complexity theory aims to understand and classify computational problems, especially decision problems, according to their inherent complexity. This book uses new techniques to expand the theory for use with counting problems. The authors present dichotomy classifications for broad classes of counting problems in the realm of P and NP. Classifications are proved for partition functions of spin systems, graph homomorphisms, constraint satisfaction problems, and Holant problems. The book assumes minimal prior knowledge of computational complexity theory, developing proof techniques as needed and gradually increasing the generality and abstraction of the theory. This volume presents the theory on the Boolean domain, and includes a thorough presentation of holographic algorithms, culminating in classifications of computational problems studied in exactly solvable models from statistical mechanics.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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