東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Combinatorics and complexity of part...

Barvinok, Alexander.

Linked to FindBook

Google Book

Amazon

博客來

Combinatorics and complexity of partition functions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Combinatorics and complexity of partition functions/ by Alexander Barvinok.
Author:	Barvinok, Alexander.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	vi, 303 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Combinatorial analysis. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-51829-9
ISBN:	9783319518299

Combinatorics and complexity of partition functions
Barvinok, Alexander.

Combinatorics and complexity of partition functions[electronic resource] /by Alexander Barvinok. - Cham :Springer International Publishing :2016. - vi, 303 p. :ill., digital ;24 cm. - Algorithms and combinatorics,v.300937-5511 ;. - Algorithms and combinatorics ;v.30..

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.

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.

ISBN: 9783319518299

Standard No.: 10.1007/978-3-319-51829-9doiSubjects--Topical Terms:

523878
Combinatorial analysis.

LC Class. No.: QA165 / .B37 2016

Dewey Class. No.: 512.73

Combinatorics and complexity of partition functions
LDR:02274nmm a2200325 a 4500 001 2084210
003 DE-He213
005 20170314123921.0
006 m d
007 cr nn 008maaau
008 170820s2016 gw s 0 eng d
020 $a 9783319518299 $q (electronic bk.)
020 $a 9783319518282 $q (paper)
024 7 $a 10.1007/978-3-319-51829-9 $2 doi
035 $a 978-3-319-51829-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA165 $b .B37 2016
072 7 $a PBWH $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 512.73 $2 23
090 $a QA165 $b .B295 2016
100 1 $a Barvinok, Alexander. $3 3210127
245 1 0 $a Combinatorics and complexity of partition functions $h [electronic resource] / $c by Alexander Barvinok.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a vi, 303 p. : $b ill., digital ; $c 24 cm.
490 1 $a Algorithms and combinatorics, $x 0937-5511 ; $v v.30
505 0 $a 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 $a 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 $a Combinatorial analysis. $3 523878
650 0 $a Partitions (Mathematics) $3 709302
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Mathematics of Algorithmic Complexity. $3 2055138
650 2 4 $a Combinatorics. $3 895617
650 2 4 $a Discrete Mathematics in Computer Science. $3 892513
650 2 4 $a Complex Systems. $3 1566441
650 2 4 $a Algorithms. $3 536374
650 2 4 $a Approximations and Expansions. $3 897324
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Algorithms and combinatorics ; $v v.30. $3 3210128
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-51829-9
950 $a Mathematics and Statistics (Springer-11649)