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Irregularities of Partitions

  • Book
  • © 1989

Overview

Editors:
  1. Gábor Halász

    1. Department of Analysis, Eötvös Loránd University, Budapest VIII, Hungary

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    You can also search for this editor in PubMed   Google Scholar

  2. Vera T. Sós

    1. Mathematical Institute of the Hungarian Academy of Sciences, Budapest V, Hungary

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Algorithms and Combinatorics (AC, volume 8)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-vii
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  2. Irregularities of Point Distribution Relative to Convex Polygons

    • J. Beck, W. W. L. Chen
    Pages 1-22

  3. Balancing Matrices with Line Shifts II

    • J. Beck, J. Spencer
    Pages 23-37

  4. A Few Remarks on Orientation of Graphs and Ramsey Theory

    • M. Cochand, P. Duchet
    Pages 39-46

  5. On a Conjecture of Roth and Some Related Problems I

    • P. Erdős, A. Sárközy, V. T. Sós
    Pages 47-59

  6. Discrepancy of Sequences in Discrete Spaces

    • Ph. Flajolet, P. Kirschenhofer, R. F. Tichy
    Pages 61-70

  7. On the Distribution of Monochromatic Configurations

    • P. Frankl, R. L. Graham, V. Rödl
    Pages 71-87

  8. Covering Complete Graphs by Monochromatic Paths

    • A. Gyárfás
    Pages 89-91

  9. Canonical Partition Behaviour of Cantor Spaces

    • Hanno Lefmann
    Pages 93-105

  10. Extremal Problems for Discrepancy

    • L. Lovász, K. Vesztergombi
    Pages 107-113

  11. Spectral Studies of Automata

    • J. H. Loxton
    Pages 115-128

  12. A Diophantine Problem

    • M. Mendes France
    Pages 129-135

  13. A Note on Boolean Dimension of Posets

    • J. Nešetřil, P. Pudlák
    Pages 137-140

  14. Intersection Properties and Extremal Problems for Set Systems

    • Zs. Tuza
    Pages 141-151

  15. On an Imbalance Problem in the Theory of Point Distribution

    • G. Wagner
    Pages 153-160

  16. Problems

    • Gábor Halász, Vera T. Sós
    Pages 161-165

  17. Back Matter

    Pages 167-168
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Keywords

About this book

The problem of uniform distribution of sequences initiated by Hardy, Little­ wood and Weyl in the 1910's has now become an important part of number theory. This is also true, in relation to combinatorics, of what is called Ramsey­ theory, a theory of about the same age going back to Schur. Both concern the distribution of sequences of elements in certain collection of subsets. But it was not known until quite recently that the two are closely interweaving bear­ ing fruits for both. At the same time other fields of mathematics, such as ergodic theory, geometry, information theory, algorithm theory etc. have also joined in. (See the survey articles: V. T. S6s: Irregularities of partitions, Lec­ ture Notes Series 82, London Math. Soc. , Surveys in Combinatorics, 1983, or J. Beck: Irregularities of distributions and combinatorics, Lecture Notes Series 103, London Math. Soc. , Surveys in Combinatorics, 1985. ) The meeting held at Fertod, Hungary from the 7th to 11th of July, 1986 was to emphasize this development by bringing together a few people working on different aspects of this circle of problems. Although combinatorics formed the biggest contingent (see papers 2, 3, 6, 7, 13) some number theoretic and analytic aspects (see papers 4, 10, 11, 14) generalization of both (5, 8, 9, 12) as well as irregularities of distribution in the geometric theory of numbers (1), the most important instrument in bringing about the above combination of ideas are also represented.

Editors and Affiliations

  • Department of Analysis, Eötvös Loránd University, Budapest VIII, Hungary

    Gábor Halász

  • Mathematical Institute of the Hungarian Academy of Sciences, Budapest V, Hungary

    Vera T. Sós

Bibliographic Information

  • Book Title: Irregularities of Partitions

  • Editors: Gábor Halász, Vera T. Sós

  • Series Title: Algorithms and Combinatorics

  • DOI: https://doi.org/10.1007/978-3-642-61324-1

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1989

  • Softcover ISBN: 978-3-540-50582-2Published: 27 April 1989

  • eBook ISBN: 978-3-642-61324-1Published: 06 December 2012

  • Series ISSN: 0937-5511

  • Series E-ISSN: 2197-6783

  • Edition Number: 1

  • Number of Pages: VII, 165

  • Topics: Number Theory, Combinatorics, Geometry

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