Berge, Claude
Overview
Works:  138 works in 701 publications in 7 languages and 11,756 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Author of introduction, Thesis advisor, 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 J. A Bondy( )
 Sculptures multipètres by Claude Berge( Book )
 Claude Berge : publications and scientific results (19511999) by Vassilis Giakoumakis( Book )
Most widely held works by
Claude Berge
Principles of combinatorics by
Claude Berge(
)
30 editions published between 1968 and 1973 in 5 languages and held by 2,038 WorldCat member libraries worldwide
30 editions published between 1968 and 1973 in 5 languages and held by 2,038 WorldCat member libraries worldwide
The theory of graphs and its applications by
Claude Berge(
Book
)
92 editions published between 1958 and 2003 in 4 languages and held by 1,527 WorldCat member libraries worldwide
92 editions published between 1958 and 2003 in 4 languages and held by 1,527 WorldCat member libraries worldwide
Graphs and hypergraphs by
Claude Berge(
Book
)
85 editions published between 1970 and 1979 in 4 languages and held by 1,133 WorldCat member libraries worldwide
85 editions published between 1970 and 1979 in 4 languages and held by 1,133 WorldCat member libraries worldwide
Topological spaces, including a treatment of multivalued functions, vector spaces and convexity by
Claude Berge(
Book
)
62 editions published between 1959 and 1997 in 4 languages and held by 926 WorldCat member libraries worldwide
62 editions published between 1959 and 1997 in 4 languages and held by 926 WorldCat member libraries worldwide
Programming, games and transportation networks by
Claude Berge(
Book
)
35 editions published between 1962 and 1967 in 4 languages and held by 652 WorldCat member libraries worldwide
35 editions published between 1962 and 1967 in 4 languages and held by 652 WorldCat member libraries worldwide
Studies in graph theory by
Claude Berge(
Book
)
6 editions published in 1975 in English and held by 650 WorldCat member libraries worldwide
6 editions published in 1975 in English and held by 650 WorldCat member libraries worldwide
Graph theory and computing by
Ronald C Read(
Book
)
5 editions published in 1972 in English and held by 584 WorldCat member libraries worldwide
Graph Theory and Computing focuses on the processes, methodologies, problems, and approaches involved in graph theory and computer science. The book first elaborates on alternating chain methods, average height of planted plane trees, and numbering of a graph. Discussions focus on numbered graphs and difference sets, Euclidean models and complete graphs, classes and conditions for graceful graphs, and maximum matching problem. The manuscript then elaborates on the evolution of the path number of a graph, production of graphs by computer, and graphtheoretic programming language. Topics
5 editions published in 1972 in English and held by 584 WorldCat member libraries worldwide
Graph Theory and Computing focuses on the processes, methodologies, problems, and approaches involved in graph theory and computer science. The book first elaborates on alternating chain methods, average height of planted plane trees, and numbering of a graph. Discussions focus on numbered graphs and difference sets, Euclidean models and complete graphs, classes and conditions for graceful graphs, and maximum matching problem. The manuscript then elaborates on the evolution of the path number of a graph, production of graphs by computer, and graphtheoretic programming language. Topics
Hypergraphs : combinatorics of finite sets by
Claude Berge(
Book
)
18 editions published between 1984 and 2014 in English and held by 518 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 Turan and Konig. 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."  Publisher description
18 editions published between 1984 and 2014 in English and held by 518 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 Turan and Konig. 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."  Publisher description
Hypergraph seminar by
Working Seminar on Hypergraphs(
Book
)
24 editions published between 1074 and 2006 in 4 languages and held by 512 WorldCat member libraries worldwide
24 editions published between 1074 and 2006 in 4 languages and held by 512 WorldCat member libraries worldwide
Graphs by
Claude Berge(
Book
)
34 editions published between 1919 and 1991 in English and Undetermined and held by 478 WorldCat member libraries worldwide
Basic concepts; cyclomatic number; trees and arborescences; paths, centres and diameters; flow problems; degrees and demidegrees; matchings. cMatchings; connectivity; hamiltoniam cycles; covering edges with chains; chromatic index; stability number; kernels and grundy functions; chromatic number; perfect graphs
34 editions published between 1919 and 1991 in English and Undetermined and held by 478 WorldCat member libraries worldwide
Basic concepts; cyclomatic number; trees and arborescences; paths, centres and diameters; flow problems; degrees and demidegrees; matchings. cMatchings; connectivity; hamiltoniam cycles; covering edges with chains; chromatic index; stability number; kernels and grundy functions; chromatic number; perfect graphs
Combinatorial mathematics : proceedings of the International Colloquium on Graph Theory and Combinatorics, MarseilleLuminy,
June 1981 by
D Bresson(
Book
)
20 editions published between 1983 and 2014 in English and held by 407 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
20 editions published between 1983 and 2014 in English and held by 407 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
Topics on perfect graphs(
Book
)
10 editions published in 1984 in English and held by 379 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
10 editions published in 1984 in English and held by 379 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
Théorie générale des jeux à n personnes by
Claude Berge(
Book
)
19 editions published between 1937 and 1961 in French and Russian and held by 219 WorldCat member libraries worldwide
19 editions published between 1937 and 1961 in French and Russian and held by 219 WorldCat member libraries worldwide
Introduction à la théorie des hypergraphes by
Claude Berge(
Book
)
16 editions published between 1973 and 1975 in 3 languages and held by 206 WorldCat member libraries worldwide
16 editions published between 1973 and 1975 in 3 languages and held by 206 WorldCat member libraries worldwide
Hypergraphes : combinatoire des ensembles finis by
Claude Berge(
Book
)
8 editions published in 1987 in 3 languages and held by 128 WorldCat member libraries worldwide
8 editions published in 1987 in 3 languages and held by 128 WorldCat member libraries worldwide
Graphes by
Claude Berge(
Book
)
9 editions published between 1983 and 1987 in 3 languages and held by 124 WorldCat member libraries worldwide
9 editions published between 1983 and 1987 in 3 languages and held by 124 WorldCat member libraries worldwide
Programme, Spiele, Transportnetze by
Claude Berge(
Book
)
12 editions published between 1967 and 1969 in German and held by 106 WorldCat member libraries worldwide
12 editions published between 1967 and 1969 in German and held by 106 WorldCat member libraries worldwide
Fractional graph theory : a rational approach to the theory of graphs by
Edward R Scheinerman(
Book
)
8 editions published between 1978 and 1997 in English and held by 75 WorldCat member libraries worldwide
"Fractional Graph Theory explores the various ways in which integervalued graph theory concepts can be modified to derive nonintegral values. Based on the authors' extensive review of the literature, it provides a unified treatment of the most important results in the study of fractional graph concepts." "Supplemented with many challenging exercises in each chapter as well as an abundance of references and bibliographic material, Fractional Graph Theory is a comprehensive reference for researchers and an excellent graduatelevel text for students of graph theory and linear programming."Jacket
8 editions published between 1978 and 1997 in English and held by 75 WorldCat member libraries worldwide
"Fractional Graph Theory explores the various ways in which integervalued graph theory concepts can be modified to derive nonintegral values. Based on the authors' extensive review of the literature, it provides a unified treatment of the most important results in the study of fractional graph concepts." "Supplemented with many challenging exercises in each chapter as well as an abundance of references and bibliographic material, Fractional Graph Theory is a comprehensive reference for researchers and an excellent graduatelevel text for students of graph theory and linear programming."Jacket
Lectures on graph theory by
Claude Berge(
Book
)
7 editions published in 1967 in English and French and held by 65 WorldCat member libraries worldwide
7 editions published in 1967 in English and French and held by 65 WorldCat member libraries worldwide
Hypergraph Seminar : Ohio State Univ. 1972 by
1972, Columbus, Ohio) Hypergraph Seminar (1(
Book
)
7 editions published between 1972 and 1974 in English and Undetermined and held by 57 WorldCat member libraries worldwide
7 editions published between 1972 and 1974 in English and Undetermined and held by 57 WorldCat member libraries worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 GhouilaHouri, A. Author
 Fulkerson, D. R. Editor
 RayChaudhuri, Dijen 1933 Author Editor
 Read, Ronald C. Author
 Bondy, J. A. (John Adrian) Editor
 Chvátal, Vašek 1946 Author Editor
 Centre national de la recherche scientifique (France) Other
 Université d'AixMarseille Luminy
 Houri, A. G.
 GouilaHouri, A.
Useful Links
Associated Subjects
Aggregates (Building materials) Algebra Algebraic topology Berge, Claude Combinatorial analysis Discrete groups Flowgraphs France Games of strategy (Mathematics) Game theory Graphic methods Graph theory Graph theoryData processing Hypergraphs Linear programming Mathematicians Mathematics Operations research Perfect graphs Programming (Mathematics) Set theory Simulation methods Topological spaces Topology
Covers
Alternative Names
Berge, C.
Berge, C. 19262002
Berge, C. (Claude)
Berge, Claude
Berž, K.
Berž, K. 19262002
Berž, Klod.
Berž, Klod 19262002
C. ベルジュ
Claude Berge francia matematikus
Claude Berge Frans wiskundige (19262002)
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