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Berge, Claude

Overview
Works:120 works in 378 publications in 11 languages and 9,343 library holdings
Roles:Editor, Author of introduction, Honoree
Classifications:qa166, 511.5
Most widely held works by Claude Berge
The theory of graphs and its applications by Claude Berge( Book )
48 editions published between 1958 and 2001 in 3 languages and held by 1,079 libraries worldwide
Principles of combinatorics by Claude Berge( Book )
15 editions published between 1968 and 1971 in 3 languages and held by 814 libraries worldwide
What is combinatorics; The elementary counting functions; Partition problems; Inversion formulas and their applications; Permutation groups; Polya's theorem.
Graphs and hypergraphs by Claude Berge( Book )
26 editions published between 1973 and 2002 in 4 languages and held by 759 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.
Studies in graph theory( Book )
3 editions published in 1975 in English and held by 697 libraries worldwide
Topological spaces, including a treatment of multi-valued functions, vector spaces and convexity by Claude Berge( Book )
31 editions published between 1959 and 1997 in 4 languages and held by 610 libraries worldwide
Graph theory and computing by Ronald C Read( Book )
4 editions published in 1972 in English and held by 583 libraries worldwide
Programming, games and transportation networks by Claude Berge( Book )
20 editions published between 1962 and 1969 in 4 languages and held by 569 libraries worldwide
Graphs by Claude Berge( Book )
38 editions published between 1970 and 1991 in 3 languages and held by 511 libraries worldwide
Hypergraph seminar by Working Seminar on Hypergraphs( Book )
5 editions published in 1974 in English and held by 308 libraries worldwide
Topics on perfect graphs( Book )
8 editions published between 1983 and 1984 in English and Undetermined and held by 292 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 )
3 editions published in 1983 in English and held by 283 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.
Introduction à la théorie des hypergraphes by Claude Berge( Book )
8 editions published between 1973 and 1975 in French and English and held by 177 libraries worldwide
Théorie générale des jeux à n personnes by Claude Berge( Book )
7 editions published between 1957 and 1961 in French and Russian and held by 158 libraries worldwide
Fractional graph theory by Claude Berge( Book )
4 editions published between 1978 and 1997 in English and held by 60 libraries worldwide
Lectures on graph theory by Claude Berge( Book )
2 editions published in 1967 in English and held by 54 libraries worldwide
Hypergraph seminar Ohio State University, 1972 by Working Seminar on Hypergraphs( Book )
1 edition published in 1974 in English and held by 43 libraries worldwide
Avec des nombres et des lignes : récréations mathématiques by André Sainte-Laguë( Book )
1 edition published in 1994 in French and held by 42 libraries worldwide
Programme, spiele, transportnetze by Claude Berge( Book )
4 editions published between 1967 and 1969 in German and held by 37 libraries worldwide
Hypergraph Seminar : Ohio State Univ. 1972 by 1972, Columbus, Ohio) Hypergraph Seminar (1( Book )
1 edition published in 1974 in English and held by 26 libraries worldwide
Hypergraph seminar : Ohio State University, 1972( Book )
6 editions published in 1974 in English and Undetermined and held by 25 libraries worldwide
 
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Audience Level
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Audience Level
1
 KidsGeneralSpecial 
Audience level: 0.76 (from 0.71 for Programme, ... to 0.92 for Fractional ...)
The theory of graphs and its applications
Alternative Names
Berge, C.
Berge, C. 1926-2002
Berge, C. (Claude)
Berž, K.
Berž, Klod.
Берж, Клод
Languages
English (196)
French (118)
Undetermined (22)
Russian (12)
Japanese (11)
German (7)
Spanish (7)
Chinese (4)
Czech (2)
Romanian (1)
Dutch (1)
Covers
Graphs and hypergraphsTopological spaces, including a treatment of multi-valued functions, vector spaces and convexityHypergraph seminarFractional graph theoryHypergraph seminar : Ohio State University, 1972
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