Combinatorics and Complexity of Partition Functions (Record no. 426590)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03648nam a22005655i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9783319518299 |
| -- | 978-3-319-51829-9 |
| 024 7# - | |
| -- | 10.1007/978-3-319-51829-9 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA9.58 |
| 072 #7 - | |
| -- | PBWH |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT003000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBWH |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 511.352 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Barvinok, Alexander. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Combinatorics and Complexity of Partition Functions |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Alexander Barvinok. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Cham : |
| Name of producer, publisher, distributor, manufacturer | Springer International Publishing : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2016. |
| 300 ## - | |
| -- | VI, 303 p. 51 illus., 42 illus. in color. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Algorithms and Combinatorics, |
| -- | 0937-5511 ; |
| -- | 30 |
| 505 0# - | |
| -- | Chapter I. Introduction -- Chapter II. Preliminaries -- Chapter III. Permanents -- Chapter IV. Hafnians and Multidimensional Permanents -- Chapter V. The Matching Polynomial -- Chapter VI. The Independence Polynomial -- Chapter VII. The Graph Homomorphism Partition Function -- Chapter VIII. Partition Functions of Integer Flows -- References -- Index. |
| 520 ## - | |
| -- | Partition functions arise in combinatorics and related problems of statistical physics as they encode in a succinct way the combinatorial structure of complicated systems. The main focus of the book is on efficient ways to compute (approximate) various partition functions, such as permanents, hafnians and their higher-dimensional versions, graph and hypergraph matching polynomials, the independence polynomial of a graph and partition functions enumerating 0-1 and integer points in polyhedra, which allows one to make algorithmic advances in otherwise intractable problems. The book unifies various, often quite recent, results scattered in the literature, concentrating on the three main approaches: scaling, interpolation and correlation decay. The prerequisites include moderate amounts of real and complex analysis and linear algebra, making the book accessible to advanced math and physics undergraduates. . |
| 650 #0 - | |
| -- | Combinatorics. |
| 650 #0 - | |
| -- | Computational complexity. |
| 650 #0 - | |
| -- | Algorithms. |
| 650 #0 - | |
| -- | Mathematics. |
| 650 14 - | |
| -- | Mathematics of Algorithmic Complexity. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M13130 |
| 650 24 - | |
| -- | Combinatorics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M29010 |
| 650 24 - | |
| -- | Discrete Mathematics in Computer Science. |
| -- | http://scigraph.springernature.com/things/product-market-codes/I17028 |
| 650 24 - | |
| -- | Complex Systems. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P33000 |
| 650 24 - | |
| -- | Algorithms. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M14018 |
| 650 24 - | |
| -- | Approximations and Expansions. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M12023 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319518282 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319518305 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9783319847511 |
| 830 #0 - | |
| -- | Algorithms and Combinatorics, |
| -- | 0937-5511 ; |
| -- | 30 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-3-319-51829-9 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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