Skip to main content

Claude Berge — Sculptor of Graph Theory

  • Chapter
Graph Theory in Paris

Part of the book series: Trends in Mathematics ((TM))

  • 1371 Accesses

Abstract

Claude Berge fashioned graph theory into an integrated and significant part of modern mathematics. As was clear to all who met him, he was a multifaceted person, whose achievements, however varied they might seem at first glance, were interconnected in many ways.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. C. Berge, Théorie générale des jeux à n personnes, Memorial des sciences mathématiques 138, Gauthier-Villars (Paris) 1957.

    Google Scholar 

  2. C. Berge, Théorie des graphes et ses applications, Dunod (Paris) 1958. Translation: The Theory of Graphs and its Applications, Meuthen (London) and Wiley (New York) 1962. Republished as: The Theory of Graphs, Dover (New York) 2001.

    Google Scholar 

  3. C. Berge, Espaces topologiques, fonctions multivoques, Dunod (Paris) 1959 and 1962. Translation: Topological Spaces: including a Treatment of Multi-valued Functions, Vector Spaces and Convexity, Oliver and Boyd (Edinburgh and London) 1963. Republished as: Topological Spaces, Dover (New York) 1997.

    MATH  Google Scholar 

  4. C. Berge, Les problèmes de coloration en théorie des graphes, Publ. Inst. Statist. Univ. Paris 9 (1960), 123–160.

    MathSciNet  Google Scholar 

  5. C. Berge, Problèmes plaisants et delectables, Column in Le Journal de l’A.F.I.R.O., 1960–64.

    Google Scholar 

  6. C. Berge, Färbung von Graphen, deren sämtliche bzw. deren ungerade Kreise starr sind, Wissenschaftliche Zeitschrift der Martin-Luther-Universität Halle-Wittenberg, Math.-Nat. X/1 (1960), 114–115.

    Google Scholar 

  7. C. Berge, Sculptures multipètres, présenté par Philippe Soupault, 1000 exemplaires numérotés, sur les presses de Lanord, imprimeur à Paris, 1962.

    Google Scholar 

  8. C. Berge and A. Ghouila-Houri, Programmes, jeux et réseaux de transport, Dunod 1962. Translation: Programming, games and transportation networks, Methuen and Wiley 1965.

    Google Scholar 

  9. C. Berge, Some classes of perfect graphs, in: Six Papers on Graph Theory, Indian Statistical Institute, Calcutta, 1963, 1–21.

    Google Scholar 

  10. C. Berge, Sur une conjecture relative au problème des codes optimaux de Shannon, in: Union Radio Scientifique Internationale, XIVe Assemblée Générale, Tokyo Sept. 9–20, 1963, Volume XIII-6, Ondes et Circuits Radio électriques, U.R.S.I. Bruxelles 1963, 317–318.

    Google Scholar 

  11. C. Berge, Une application de la Théorie des Graphes à un Problème de Codage, in: Automata Theory (ed. E.R. Caianiello), Academic Press 1966, 25–34.

    Google Scholar 

  12. C. Berge, Some classes of perfect graphs, in: Graph Theory and Theoretical Physics (ed. F. Harary), Academic Press 1967, 155–165.

    Google Scholar 

  13. C. Berge, Principes de combinatoire, Dunod 1968. Translation: Principles of Combinatorics, Academic Press 1971.

    Google Scholar 

  14. C. Berge, Some classes of perfect graphs, in: Combinatorial Mathematics and its Applications, Proceedings Conf. Univ. North Carolina, Chapel Hill 1967, Univ. North Carolina Press 1969, 539–552.

    Google Scholar 

  15. C. Berge, Graphes et hypergraphes, Dunod 1970. Translation: Graphs and Hypergraphs, North-Holland 1973.

    Google Scholar 

  16. Hypergraph Seminar, Proceedings First Working Sem. Ohio State Univ., Columbus Ohio 1972 (ed. C. Berge and D. Ray-Chaudhuri), Lecture Notes in Mathematics 411, Springer-Verlag 1974.

    Google Scholar 

  17. C. Berge, Fractional Graph Theory, Indian Statistical Institute Lecture Notes No. 1, The MacMillan Company of India 1978.

    Google Scholar 

  18. Topics on Perfect Graphs (edited by C. Berge and V. Chváatal), North-Holland Mathematical Studies 88, Annals of Discrete Math. 21, North-Holland 1984.

    Google Scholar 

  19. C. Berge, Hypergraphs, North-Holland 1989.

    Google Scholar 

  20. C. Berge, Graphs, North-Holland 1991.

    Google Scholar 

  21. C. Berge, The history of perfect graphs, Equipe Combinatoire 94/02, Mars 1994, preprint, 8 pages.

    Google Scholar 

  22. C. Berge, Qui a tué le duc de Densmore? Bibliotèehques Oulipienne No 67, limited edition of 150 copies, 1994, English translation: Who killed the Duke of Densmore? in [33].

    Google Scholar 

  23. C. Berge, Motivation and history of some of my conjectures, Discrete Math. 165/166 (1997), 61–70.

    Article  MathSciNet  Google Scholar 

  24. M. Chudnovsky, N. Robertson, P. Seymour and R. Thomas, The strong perfect graph theorem, Annals of Mathematics, to appear.

    Google Scholar 

  25. T. Gallai, On factorization of graphs, Acta Math.Acad. Sci. Hung. I (1950), 133–153.

    Article  MathSciNet  Google Scholar 

  26. T. Gallai, Maximum-Minimum Sätze über Graphen, Acta Math. Acad. Sci. Hung. IX (1958), 395–434.

    Article  MathSciNet  Google Scholar 

  27. T. Gallai, Graphen mit triangulierbaren ungeraden Vielecken, Publ. Math. Inst. Hung. Acad. Sci. 7, (1962), 3–36.

    MathSciNet  Google Scholar 

  28. M. Gardner, Penrose Tiles to Trapdoor Ciphers and the Return of Dr. Matrix, Freeman 1989, updated, revised and republished by the Mathematical Association of America 1997.

    Google Scholar 

  29. A. Hajnal and J. Surányi, Über die Auflösung von Graphen in vollständige Teilgraphen, Ann.Univ. Budapest 1 (1958), 53–57.

    Google Scholar 

  30. T.R. Jensen and B. Toft, Graph Coloring Problems, Wiley Interscience 1995.

    Google Scholar 

  31. D. König, Theorie der endlichen und unendlichen Graphen, Teubner, Leipzig 1936.

    Google Scholar 

  32. OULIPO a primer of potential literature (W.F. Motte ed.), University of Nebraska Press 1986, and Dalkey ArchivePress, Illinois State University 1998.

    Google Scholar 

  33. OULIPO Laboratory. Papers by Raymond Queneaux, Italo Calvino, Paul Fournel, Claude Berge, Jaques Jouet and Harry Mathews, Atlas Anti-classics 1995.

    Google Scholar 

  34. M.A. Sainte-Laguë, Les réseaux (ou graphes), Mémorial des sciences mathématiques, Fascicule XVIII, Gauthier-Villars (Paris) 1926.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Birkhäuser Verlag Basel/Switzerland

About this chapter

Cite this chapter

Toft, B. (2006). Claude Berge — Sculptor of Graph Theory. In: Bondy, A., Fonlupt, J., Fouquet, JL., Fournier, JC., Ramírez Alfonsín, J.L. (eds) Graph Theory in Paris. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-7400-6_1

Download citation

Publish with us

Policies and ethics