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Berge, Claude

Overview
Works: 115 works in 571 publications in 7 languages and 10,898 library holdings
Genres: Conference proceedings 
Roles: Author, Editor, Author of introduction, Honoree
Classifications: QA166, 511.5
Publication Timeline
Key
Publications about Claude Berge
Publications by Claude Berge
Publications by Claude Berge, published posthumously.
Most widely held works about Claude Berge
 
Most widely held works by Claude Berge
Principles of combinatorics by Claude Berge( file )
25 editions published between 1968 and 1971 in 4 languages and held by 1,756 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 )
47 editions published between 1958 and 2003 in 3 languages and held by 1,064 libraries worldwide
Graphs and hypergraphs by Claude Berge( Book )
38 editions published between 1973 and 1979 in 3 languages and held by 736 libraries worldwide
Studies in graph theory by Claude Berge( Book )
6 editions published in 1975 in English and held by 679 libraries worldwide
Graph theory and computing by Ronald C Read( Book )
5 editions published in 1972 in English and held by 564 libraries worldwide
Graph Theory and Computing
Hypergraph seminar by Claude Berge( Book )
29 editions published between 1074 and 2008 in 4 languages and held by 541 libraries worldwide
Hypergraphs : combinatorics of finite sets by Claude Berge( Book )
15 editions published in 1989 in English and held by 487 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
Topological spaces, including a treatment of multi-valued functions, vector spaces and convexity by Claude Berge( Book )
26 editions published between 1963 and 1997 in English and Undetermined and held by 471 libraries worldwide
Théorie des graphes et ses applications by Claude Berge( Book )
36 editions published between 1958 and 1967 in French and Undetermined and held by 447 libraries worldwide
Programming, games and transportation networks by Claude Berge( Book )
19 editions published between 1962 and 1967 in 4 languages and held by 435 libraries worldwide
Topics on perfect graphs by V Chvtal( Book )
18 editions published between 1983 and 1984 in English and Undetermined and held by 424 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
Graphs by Claude Berge( Book )
21 editions published between 1985 and 1991 in English and held by 424 libraries worldwide
As graph theory continues its explosive growth, conjectures are proved and new theorems formed. The techniques involved, which have applications in a broad spectrum of mathematics, ranging from analysis to operations research, have become more sophisticated if not more manageable. This new edition, therefore, includes new theorems (e.g. the Perfect Graph Theorem, due to Lovasz) as well as new proofs of classical results. A number of sections have been significantly revised
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 )
13 editions published between 1983 and 2012 in English and held by 409 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
Espaces topologiques; fonctions multivoques by Claude Berge( Book )
28 editions published between 1959 and 1966 in 4 languages and held by 402 libraries worldwide
Graphes et hypergraphes by Claude Berge( Book )
26 editions published between 1970 and 1973 in French and Undetermined and held by 343 libraries worldwide
Programmes, jeux et réseaux de transport by Claude Berge( Book )
16 editions published in 1962 in 4 languages and held by 207 libraries worldwide
Théorie générale des jeux à n personnes by Claude Berge( Book )
13 editions published between 1937 and 1961 in French and Russian and held by 203 libraries worldwide
Introduction à la théorie des hypergraphes by Claude Berge( Book )
12 editions published between 1973 and 1975 in French and English and held by 182 libraries worldwide
Hypergraphes : combinatoire des ensembles finis by Claude Berge( Book )
5 editions published in 1987 in French and Undetermined and held by 121 libraries worldwide
Graphes by Claude Berge( Book )
8 editions published in 1983 in 3 languages and held by 117 libraries worldwide
 
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Alternative Names
Berge, C.
Berge, C. 1926-2002
Berge, C. (Claude)
Berž, K.
Berž, Klod.
Берж, Клод.
ベルジュ, C
Languages
English (242)
French (137)
Spanish (9)
Russian (5)
Italian (4)
Multiple languages (2)
German (1)
Covers
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