Complexity Dichotomies for Counting Problems PDF Download
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Author: Jin-Yi Cai
Publisher: Cambridge University Press
ISBN: 1107062373
Category : Computers
Languages : en
Pages : 473
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Book Description
Volume 1. Boolean domain
Author: Jin-Yi Cai
Publisher: Cambridge University Press
ISBN: 1107062373
Category : Computers
Languages : en
Pages : 473
Get Book
Book Description
Volume 1. Boolean domain
Author: Jin-yi Cai
Publisher:
ISBN: 9781107635609
Category : Algebra, Boolean
Languages : en
Pages :
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Book Description
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
Author: Jin-yi Cai
Publisher:
ISBN: 9781108505840
Category : MATHEMATICS
Languages : en
Pages :
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Book Description
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.
Author: Jin-Yi Cai
Publisher:
ISBN: 9781108517768
Category : Algebra, Boolean
Languages : en
Pages : 474
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Book Description
A sweeping classification theory for computational counting problems using new techniques and theories.
Author: Lizhen Ji
Publisher: American Mathematical Soc.
ISBN: 0821875876
Category : Mathematics
Languages : en
Pages : 522
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Book Description
This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.
Author: Weili Wu
Publisher: Springer Nature
ISBN: 3031491904
Category : Computers
Languages : en
Pages : 424
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Book Description
This two volume set LNCS 14422-14423 constitutes the refereed proceedings of the 29th International Conference, COCOON 2023, held in Hawaii, HI, USA, during December 2023. The 60 full papers were carefully reviewed and selected from 146 submissions. They are organized in the following topical sections: Part I : Combinatorics and Algorithms; Algorithmic Solution in Applications; and Algorithm in Networks. Part II: Complexity and Approximation; Graph Algorithms; and Applied Algorithms.
Author: Istvan Miklos
Publisher: CRC Press
ISBN: 1351971611
Category : Mathematics
Languages : en
Pages : 390
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Book Description
Computational Complexity of Counting and Sampling provides readers with comprehensive and detailed coverage of the subject of computational complexity. It is primarily geared toward researchers in enumerative combinatorics, discrete mathematics, and theoretical computer science. The book covers the following topics: Counting and sampling problems that are solvable in polynomial running time, including holographic algorithms; #P-complete counting problems; and approximation algorithms for counting and sampling. First, it opens with the basics, such as the theoretical computer science background and dynamic programming algorithms. Later, the book expands its scope to focus on advanced topics, like stochastic approximations of counting discrete mathematical objects and holographic algorithms. After finishing the book, readers will agree that the subject is well covered, as the book starts with the basics and gradually explores the more complex aspects of the topic. Features: Each chapter includes exercises and solutions Ideally written for researchers and scientists Covers all aspects of the topic, beginning with a solid introduction, before shifting to computational complexity’s more advanced features, with a focus on counting and sampling
Author: Rahul Santhanam
Publisher: Springer Nature
ISBN: 3030794164
Category : Computers
Languages : en
Pages : 485
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Book Description
This book constitutes the proceedings of the 16th International Computer Science Symposium in Russia, CSR 2021, held in Sochi, Russia, in June/July 2021. The 28 full papers were carefully reviewed and selected from 68 submissions. The papers cover a broad range of topics, such as formal languages and automata theory, geometry and discrete structures; theory and algorithms for application domains and much more.
Author: Evripidis Bampis
Publisher: Springer Nature
ISBN: 3030865932
Category : Computers
Languages : en
Pages : 476
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Book Description
This book constitutes the proceedings of the 23rd International Symposium on Fundamentals of Computation Theory, FCT 2021, held in Athens, Greece, in September 2021. The 30 full papers included in this volume were carefully reviewed and selected from 94 submissions. In addition, the book contains 2 invited talks. The papers cover topics of all aspects of theoretical computer science, in particular algorithms, complexity, formal and logical methods.
Author: Kohei Arai
Publisher: Springer Nature
ISBN: 3031622731
Category :
Languages : en
Pages : 588
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Book Description
