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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Complexity Dichotomies for Counting Problems

Complexity Dichotomies for Counting Problems

Cai, Jin-Yi
Chen, XI

Hardcover

FictionGeneral Computers

ISBN10: 1107062373
ISBN13: 9781107062375
Publisher: Cambridge University Press
Published: Nov 16 2017
Pages: 470
Weight: 1.67
Height: 1.20 Width: 6.48 Depth: 9.52
Language: English
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.

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