WorldCat Identities

Berge, Claude

Overview
Works: 106 works in 657 publications in 7 languages and 11,560 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Honoree, Author of introduction, Other
Classifications: QA166, 511.5
Publication Timeline
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Most widely held works about Claude Berge
 
Most widely held works by Claude Berge
The theory of graphs and its applications by Claude Berge( Book )

54 editions published between 1958 and 2003 in 3 languages and held by 1,053 WorldCat member libraries worldwide

Graphs and hypergraphs by Claude Berge( Book )

45 editions published between 1973 and 1979 in English and Multiple languages and held by 727 WorldCat member libraries worldwide

Principles of combinatorics by Claude Berge( Book )

16 editions published in 1971 in English and Multiple languages and held by 723 WorldCat member libraries worldwide

What is combinatorics; The elementary counting functions; Partition problems; Inversion formulas and their applications; Permutation groups; Polya's theorem
Studies in graph theory by Claude Berge( Book )

9 editions published in 1975 in English and Undetermined and held by 665 WorldCat member libraries worldwide

Graph theory and computing by Ronald C Read( Book )

5 editions published in 1972 in English and held by 555 WorldCat member libraries worldwide

Topological spaces, including a treatment of multi-valued functions, vector spaces and convexity by Claude Berge( Book )

31 editions published between 1963 and 1997 in English and Undetermined and held by 485 WorldCat member libraries worldwide

Théorie des graphes et ses applications by Claude Berge( Book )

39 editions published between 1958 and 1967 in French and Undetermined and held by 482 WorldCat member libraries worldwide

Hypergraph seminar by Claude Berge( Book )

37 editions published between 1074 and 2008 in 4 languages and held by 475 WorldCat member libraries worldwide

Espaces topologiques; fonctions multivoques by Claude Berge( Book )

33 editions published between 1959 and 1966 in 4 languages and held by 425 WorldCat member libraries worldwide

Programming, games and transportation networks by Claude Berge( Book )

16 editions published between 1962 and 1967 in English and Italian and held by 414 WorldCat member libraries worldwide

Graphs by Claude Berge( Book )

33 editions published between 1985 and 1991 in English and Undetermined and held by 391 WorldCat member libraries worldwide

Basic concepts; cyclomatic number; trees and arborescences; paths, centres and diameters; flow problems; degrees and demi-degrees; matchings. c-Matchings; connectivity; hamiltoniam cycles; covering edges with chains; chromatic index; stability number; kernels and grundy functions; chromatic number; perfect graphs
Graphes et hypergraphes by Claude Berge( Book )

35 editions published between 1970 and 1973 in 3 languages and held by 369 WorldCat member libraries worldwide

Hypergraphs : combinatorics of finite sets by Claude Berge( Book )

18 editions published between 1984 and 1989 in English and held by 358 WorldCat member libraries worldwide

Graph Theory has proved to be an extremely useful tool for solving combinatorial problems in such diverse areas as Geometry, Algebra, Number Theory, Topology, Operations Research and Optimization. It is natural to attempt to generalise the concept of a graph, in order to attack additional combinatorial problems. The idea of looking at a family of sets from this standpoint took shape around 1960. In regarding each set as a ̀̀generalised edge'' and in calling the family itself a ̀̀hypergraph'', the initial idea was to try to extend certain classical results of Graph Theory such as the theorems of Tur̀n and K̲nig. It was noticed that this generalisation often led to simplification; moreover, one single statement, sometimes remarkably simple, could unify several theorems on graphs. This book presents what seems to be the most significant work on hypergraphs
Topics on perfect graphs by V Chvátal( Book )

18 editions published between 1983 and 1984 in English and Undetermined and held by 268 WorldCat member libraries worldwide

The purpose of this book is to present selected results on perfect graphs in a single volume. These take the form of reprinted classical papers, survey papers or new results
Combinatorial mathematics : proceedings of the International Colloquium on Graph Theory and Combinatorics, Marseille-Luminy, June 1981 by Claude Berge( Book )

19 editions published in 1983 in English and held by 261 WorldCat member libraries worldwide

The object of this book is to provide an account of the results and methods used in combinatorial theories: Graph Theory, Matching Theory, Hamiltonian Problems, Hypergraph Theory, Designs, Steiner Systems, Latin Squares, Coding Matroids, Complexity Theory. In publishing this volume, the editors do not intend to discuss all the classical open problems in combinatorics for which an algebraic approach turns out to be useful. The work is a selection which is intended for specialists, as well as for graduate students who may also be interested in survey papers. The work features a special section which contains a list of unsolved problems proposed by the participants
Programmes, jeux et réseaux de transport by Claude Berge( Book )

17 editions published between 1962 and 1967 in 4 languages and held by 222 WorldCat member libraries worldwide

Théorie générale des jeux à n personnes by Claude Berge( Book )

18 editions published between 1937 and 1961 in French and Russian and held by 213 WorldCat member libraries worldwide

Introduction à la théorie des hypergraphes by Claude Berge( Book )

17 editions published between 1973 and 1975 in 3 languages and held by 207 WorldCat member libraries worldwide

Principes de combinatoire by Claude Berge( Book )

15 editions published between 1968 and 1973 in 3 languages and held by 199 WorldCat member libraries worldwide

Hypergraphes : combinatoire des ensembles finis by Claude Berge( Book )

7 editions published in 1987 in 3 languages and held by 128 WorldCat member libraries worldwide

 
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Audience Level
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Audience level: 0.58 (from 0.09 for Principles ... to 0.86 for Hypergraph ...)

Hypergraphs : combinatorics of finite sets
Alternative Names
Berge, C.

Berge, C. 1926-2002

Berge, C. (Claude)

Berge, Claude

Berž, K.

Berž, K. 1926-2002

Berž, Klod.

Berž, Klod 1926-2002

C. ベルジュ

Claude Berge francia matematikus

Claude Berge Frans wiskundige (1926-2002)

Claude Berge fransk matematikar

Claude Berge fransk matematiker

Claude Berge französischer Mathematiker

Claude Berge French mathematician

Claude Berge matemático francés

Claude Berge mathématicien français

Берж, Клод.

کلود برژ ریاضی‌دان فرانسوی

ベルジュ, C

Languages
Covers
Graphs and hypergraphsTopological spaces, including a treatment of multi-valued functions, vector spaces and convexityHypergraph seminarHypergraphs : combinatorics of finite setsTopics on perfect graphsCombinatorial mathematics : proceedings of the International Colloquium on Graph Theory and Combinatorics, Marseille-Luminy, June 1981