Read e-book online Complexity Dichotomies for Counting Problems: Volume 1, PDF

By Jin-Yi Cai,Xi Chen

ISBN-10: 1107062373

ISBN-13: 9781107062375

Complexity concept goals to appreciate and classify computational difficulties, specifically determination difficulties, in response to their inherent complexity. This booklet makes use of new concepts to extend the idea to be used with counting difficulties. The authors current dichotomy classifications for large sessions of counting difficulties within the realm of P and NP. Classifications are proved for partition features of spin platforms, graph homomorphisms, constraint delight difficulties, and Holant difficulties. The ebook assumes minimum earlier wisdom of computational complexity concept, constructing facts innovations as wanted and progressively expanding the generality and abstraction of the speculation. This quantity provides the idea at the Boolean area, and incorporates a thorough presentation of holographic algorithms, culminating in classifications of computational difficulties studied in precisely solvable versions from statistical mechanics.

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Complexity Dichotomies for Counting Problems: Volume 1, Boolean Domain by Jin-Yi Cai,Xi Chen

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