WorldCat Identities

Berge, Claude

Overview
Works: 96 works in 461 publications in 7 languages and 9,546 library holdings
Genres: Conference papers and proceedings 
Roles: Author, Editor, Author of introduction, Honoree, Other
Classifications: QA166, 511.5
Publication Timeline
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Most widely held works by Claude Berge
Graphs and hypergraphs by Claude Berge( Book )

110 editions published between 1970 and 1991 in 5 languages and held by 1,608 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
Principles of combinatorics by Claude Berge( Book )

25 editions published between 1968 and 1971 in 4 languages and held by 917 WorldCat member libraries worldwide

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

17 editions published between 1958 and 2001 in 3 languages and held by 785 WorldCat member libraries worldwide

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

49 editions published between 1962 and 1969 in 6 languages and held by 758 WorldCat member libraries worldwide

Studies in graph theory by D. R Fulkerson( Book )

8 editions published in 1975 in English and Undetermined and held by 675 WorldCat member libraries worldwide

Graph theory and computing by Ronald C Read( Book )

5 editions published in 1972 in English and held by 558 WorldCat member libraries worldwide

Hypergraph seminar by Claude Berge( Book )

33 editions published between 1074 and 2008 in 4 languages and held by 464 WorldCat member libraries worldwide

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

16 editions published between 1984 and 1989 in English and held by 355 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 265 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 International Colloquium on Graph Theory and Combinatorics( Book )

17 editions published in 1983 in English and held by 260 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
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

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

6 editions published in 1987 in French and Undetermined and held by 127 WorldCat member libraries worldwide

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

8 editions published between 1959 and 1997 in English and French and held by 63 WorldCat member libraries worldwide

Lectures on graph theory by Claude Berge( Book )

6 editions published in 1967 in English and French and held by 58 WorldCat member libraries worldwide

Avec des nombres et des lignes : récréations mathématiques by A Sainte-Laguë( Book )

1 edition published in 1994 in French and held by 46 WorldCat member libraries worldwide

Contributions to the theory of games by Harry Waldo Kuhn( Book )

9 editions published between 1957 and 1970 in English and held by 40 WorldCat member libraries worldwide

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

5 editions published between 1973 and 1975 in French and held by 38 WorldCat member libraries worldwide

Sur une théorie ensembliste des jeux alternatifs by Claude Berge( Book )

4 editions published in 1953 in French and held by 21 WorldCat member libraries worldwide

Six papers on graph theory( Book )

1 edition published in 1963 in English and held by 17 WorldCat member libraries worldwide

Teoría de las redes y sus aplicaciones by Claude Berge( Book )

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

 
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Audience level: 0.59 (from 0.17 for Principles ... to 0.95 for Teoría de ...)

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

Berge, C. 1926-2002

Berge, C. (Claude)

Berž, K.

Berž, K. 1926-2002

Berž, Klod.

Berž, Klod 1926-2002

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

Берж, Клод.

کلود برژ ریاضی‌دان فرانسوی

ベルジュ, C

Languages
Covers
The theory of graphs and its applicationsHypergraph seminarHypergraphs : combinatorics of finite setsTopics on perfect graphsCombinatorial mathematics : proceedings of the International Colloquium on Graph Theory and Combinatorics, Marseille-Luminy, June 1981Topological spaces, including a treatment of multi-valued functions, vector spaces and convexityContributions to the theory of games