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
.
Most widely held works about
Claude Berge
 Graph theory in Paris proceedings of a conference in memory of Claude Berge : GT04, Paris by Adrian Bondy Adrian Bondy( )
 Sculptures multipètres by Claude Berge Claude Berge( Book )
 Claude Berge : publications and scientific results (19511999) by Vassilis Giakoumakis Vassilis Giakoumakis( Book )
Most widely held works by
Claude Berge
Principles of combinatorics
by
Claude Berge(
)
25 editions published between 1968 and 1971 in 4 languages and held by 1,756 WorldCat member libraries worldwide
What is combinatorics; The elementary counting functions; Partition problems; Inversion formulas and their applications; Permutation groups; Polya's theorem
25 editions published between 1968 and 1971 in 4 languages and held by 1,756 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
)
47 editions published between 1958 and 2003 in 3 languages and held by 1,064 WorldCat member libraries worldwide
47 editions published between 1958 and 2003 in 3 languages and held by 1,064 WorldCat member libraries worldwide
Graphs and hypergraphs
by
Claude Berge(
Book
)
38 editions published between 1973 and 1979 in 3 languages and held by 736 WorldCat member libraries worldwide
38 editions published between 1973 and 1979 in 3 languages and held by 736 WorldCat member libraries worldwide
Studies in graph theory
by
Claude Berge(
Book
)
6 editions published in 1975 in English and held by 679 WorldCat member libraries worldwide
6 editions published in 1975 in English and held by 679 WorldCat member libraries worldwide
Graph theory and computing
by
Ronald C Read(
Book
)
5 editions published in 1972 in English and held by 564 WorldCat member libraries worldwide
Graph Theory and Computing
5 editions published in 1972 in English and held by 564 WorldCat member 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 WorldCat member libraries worldwide
29 editions published between 1074 and 2008 in 4 languages and held by 541 WorldCat member libraries worldwide
Hypergraphs : combinatorics of finite sets
by
Claude Berge(
Book
)
15 editions published in 1989 in English and held by 487 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
15 editions published in 1989 in English and held by 487 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
Topological spaces, including a treatment of multivalued functions, vector spaces and convexity
by
Claude Berge(
Book
)
26 editions published between 1963 and 1997 in English and Undetermined and held by 471 WorldCat member libraries worldwide
26 editions published between 1963 and 1997 in English and Undetermined and held by 471 WorldCat member 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 WorldCat member libraries worldwide
36 editions published between 1958 and 1967 in French and Undetermined and held by 447 WorldCat member 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 WorldCat member libraries worldwide
19 editions published between 1962 and 1967 in 4 languages and held by 435 WorldCat member 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 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
18 editions published between 1983 and 1984 in English and Undetermined and held by 424 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
Graphs
by
Claude Berge(
Book
)
21 editions published between 1985 and 1991 in English and held by 424 WorldCat member 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
21 editions published between 1985 and 1991 in English and held by 424 WorldCat member 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, MarseilleLuminy, June 1981
by International Colloquium on Graph Theory and Combinatorics(
Book
)
13 editions published between 1983 and 2012 in English and held by 409 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
13 editions published between 1983 and 2012 in English and held by 409 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
Espaces topologiques; fonctions multivoques
by
Claude Berge(
Book
)
28 editions published between 1959 and 1966 in 4 languages and held by 402 WorldCat member libraries worldwide
28 editions published between 1959 and 1966 in 4 languages and held by 402 WorldCat member libraries worldwide
Graphes et hypergraphes
by
Claude Berge(
Book
)
26 editions published between 1970 and 1973 in French and Undetermined and held by 343 WorldCat member libraries worldwide
26 editions published between 1970 and 1973 in French and Undetermined and held by 343 WorldCat member libraries worldwide
Programmes, jeux et réseaux de transport
by
Claude Berge(
Book
)
16 editions published in 1962 in 4 languages and held by 207 WorldCat member libraries worldwide
16 editions published in 1962 in 4 languages and held by 207 WorldCat member 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 WorldCat member libraries worldwide
13 editions published between 1937 and 1961 in French and Russian and held by 203 WorldCat member 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 WorldCat member libraries worldwide
12 editions published between 1973 and 1975 in French and English and held by 182 WorldCat member libraries worldwide
Hypergraphes : combinatoire des ensembles finis
by
Claude Berge(
Book
)
5 editions published in 1987 in French and Undetermined and held by 121 WorldCat member libraries worldwide
5 editions published in 1987 in French and Undetermined and held by 121 WorldCat member libraries worldwide
Graphes
by
Claude Berge(
Book
)
8 editions published in 1983 in 3 languages and held by 117 WorldCat member libraries worldwide
8 editions published in 1983 in 3 languages and held by 117 WorldCat member libraries worldwide
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Algebra Algebraic topology Berge, Claude Combinatorial analysis Discrete groups Flowgraphs France Games of strategy (Mathematics) Game theory Graph theory Graph theoryData processing Hypergraphs Mathematicians Mathematics Operations research Perfect graphs Programming (Mathematics) Set theory Topological spaces Topology