The Resource Combinatorial methods in discrete mathematics, Vladimir N. Sachkov, (electronic resource)

Combinatorial methods in discrete mathematics, Vladimir N. Sachkov, (electronic resource)

Label
Combinatorial methods in discrete mathematics
Title
Combinatorial methods in discrete mathematics
Statement of responsibility
Vladimir N. Sachkov
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
A 1996 account of some complex problems of discrete mathematics in a simple and unified form
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Sachkov, Vladimir Nikolaevich
Dewey number
511.6
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA164
LC item number
.S213 1996
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Encyclopedia of mathematics and its applications
Series volume
55
http://library.link/vocab/subjectName
  • Combinatorial analysis
  • Computer science
Label
Combinatorial methods in discrete mathematics, Vladimir N. Sachkov, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 295-302) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Half-title; Title; Copyright; Contents; Preface; Preface to the English edition; Introduction; 1 Combinatorial configurations; 1.1 Notions of set theory and algebra; 1.2 Mappings and composition laws; 1.3 Combinatorial configurations; 1.4 Latin squares; 1.5 (v, fc, /^-configurations; 1.6 Finite projective planes; 1.7 Block designs; 1.8 Sperner's theorem and completely separating families of sets; 2 Transversals and permanents; 2.1 Transversals; 2.2 Decomposition of non-negative matrices; 2.3 Decomposition of probabilistic automata; 2.4 Permanents; 2.5 Calculation of permanents
  • 2.6 The inclusion-exclusion method2.7 Inequalities for permanents; 3 Generating functions; 3.1 Generating functions; 3.2 The basic numbers, polynomials and relations; 3.3 Non-regenerative substitutions, inversions and ascents in permutations; 3.4 Gaussian coefficients and polynomials; 3.5 The Dirichlet generating functions; 3.6 Asymptotic behavior of Stirling numbers; 3.7 The saddle point method and asymptotic behavior of Stirling numbers; 4 Graphs and mappings; 4.1 The generating functions for graphs; 4.2 Trees and forests; 4.3 Cycle classes
  • 4.4 Generating functions of cycles of substitutions4.5 Mappings with constraints; 5 The general combinatorial scheme; 5.1 Definition of the general combinatorial scheme; 5.2 Commutative asymmetric n-basis; 5.3 The asymptotics of the number of m-samples; 5.4 Non-commutative asymmetric n-basis; 5.5 Commutative symmetric n-basis; 5.6 The Hardy-Ramanujan formula; 5.7 Non-commutative symmetric n-basis; 5.8 Asymptotics of the Bell numbers; 5.9 Coverings of sets by subsets; 6 Polya's theorem and its applications; 6.1 Burnside's lemma; 6.2 Polya's theorem; 6.3 Trees and chemical trees
  • 6.4 Classes of functions and automataBibliography; Index
Dimensions
unknown
Extent
1 online resource (322 p.)
Form of item
online
Isbn
9781107094895
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2550000001163963
  • (EBL)1182482
  • (OCoLC)862939743
  • (SSID)ssj0000460343
  • (PQKBManifestationID)11301905
  • (PQKBTitleCode)TC0000460343
  • (PQKBWorkID)10472940
  • (PQKB)11742197
  • (UkCbUP)CR9780511666186
  • (MiAaPQ)EBC1182482
  • (EXLCZ)992550000001163963
Label
Combinatorial methods in discrete mathematics, Vladimir N. Sachkov, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. 295-302) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
  • Cover; Half-title; Title; Copyright; Contents; Preface; Preface to the English edition; Introduction; 1 Combinatorial configurations; 1.1 Notions of set theory and algebra; 1.2 Mappings and composition laws; 1.3 Combinatorial configurations; 1.4 Latin squares; 1.5 (v, fc, /^-configurations; 1.6 Finite projective planes; 1.7 Block designs; 1.8 Sperner's theorem and completely separating families of sets; 2 Transversals and permanents; 2.1 Transversals; 2.2 Decomposition of non-negative matrices; 2.3 Decomposition of probabilistic automata; 2.4 Permanents; 2.5 Calculation of permanents
  • 2.6 The inclusion-exclusion method2.7 Inequalities for permanents; 3 Generating functions; 3.1 Generating functions; 3.2 The basic numbers, polynomials and relations; 3.3 Non-regenerative substitutions, inversions and ascents in permutations; 3.4 Gaussian coefficients and polynomials; 3.5 The Dirichlet generating functions; 3.6 Asymptotic behavior of Stirling numbers; 3.7 The saddle point method and asymptotic behavior of Stirling numbers; 4 Graphs and mappings; 4.1 The generating functions for graphs; 4.2 Trees and forests; 4.3 Cycle classes
  • 4.4 Generating functions of cycles of substitutions4.5 Mappings with constraints; 5 The general combinatorial scheme; 5.1 Definition of the general combinatorial scheme; 5.2 Commutative asymmetric n-basis; 5.3 The asymptotics of the number of m-samples; 5.4 Non-commutative asymmetric n-basis; 5.5 Commutative symmetric n-basis; 5.6 The Hardy-Ramanujan formula; 5.7 Non-commutative symmetric n-basis; 5.8 Asymptotics of the Bell numbers; 5.9 Coverings of sets by subsets; 6 Polya's theorem and its applications; 6.1 Burnside's lemma; 6.2 Polya's theorem; 6.3 Trees and chemical trees
  • 6.4 Classes of functions and automataBibliography; Index
Dimensions
unknown
Extent
1 online resource (322 p.)
Form of item
online
Isbn
9781107094895
Media category
computer
Media type code
c
Specific material designation
remote
System control number
  • (CKB)2550000001163963
  • (EBL)1182482
  • (OCoLC)862939743
  • (SSID)ssj0000460343
  • (PQKBManifestationID)11301905
  • (PQKBTitleCode)TC0000460343
  • (PQKBWorkID)10472940
  • (PQKB)11742197
  • (UkCbUP)CR9780511666186
  • (MiAaPQ)EBC1182482
  • (EXLCZ)992550000001163963

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