Finite and Infinite Sets
eBook - PDF

Finite and Infinite Sets

Colloquia Mathematica Societatis János Bolyai, 37.

  1. 438 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Finite and Infinite Sets

Colloquia Mathematica Societatis János Bolyai, 37.

About this book

Colloquia Mathematica Societatis Jânos Bolyai, 37: Finite and Infinite Sets, Vol. I focuses on the principles, operations, and approaches involved in finite and infinite sets. The selection first elaborates on essential chains and squares, cellular automata in trees, almost disjoint families of countable sets, and application of Lovasz local lemma. Discussions focus on deleting operations, number of all and self-dual E-chains, transversality of E-chains and E-squares, and binary E-chains and E-squares. The text then elaborates on induced subgraphs, inverse extremal digraph problems, two Sperner-type conditions, and minimal decomposition of all graphs with equinumerous vertices and edges into mutually isomorphic subgraphs. Topics include general digraph extremal problem, matrix graphs and quadratic forms, augmentation of matrices, set of attained densities, proof of the continuity theorem, and inverse extremal multigraph problems. The text examines circular flows in graphs, two-colorings of simple arrangements, monochromatic paths in infinite colored graphs, and graphs associated with an integral domain and their applications. The selection is a dependable reference for researchers interested in finite and infinite sets.

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Yes, you can access Finite and Infinite Sets by A. Hajnal,L. Lovász,V. T. Sós in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2014
Print ISBN
9780444868930
eBook ISBN
9781483161228
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Finite and Infinite Sets
  3. Copyright Page
  4. Table of Contents
  5. PREFACE
  6. SCIENTIFIC PROGRAM
  7. LIST OF PARTICIPANTS
  8. CHAPTER 1. ON THE ESSENTIAL CHAINS AND SQUARES
  9. CHAPTER 2. CELLULAR AUTOMATA IN TREES
  10. CHAPTER 3. ON THE DISTRIBUTION OF THE NUMBER OF INTERIOR POINTS IN SUBSETS OF THE n-DIMENSIONAL UNIT CUBE
  11. CHAPTER 4. ALMOST DISJOINT FAMILIES OF COUNTABLE SETS
  12. CHAPTER 6. AN APPLICATION OF LOVASZ LOCAL LEMMA: THERE EXISTS AN INFINITE 01-SEQUENCE CONTAINING NO NEAR IDENTICAL INTERVALS
  13. CHAPTER 7. INDUCED SUBGRAPHS
  14. CHAPTER 8. INVERSE EXTREMAL DIGRAPH PROBLEMS
  15. CHAPTER 9. ON TWO SPERNER-TYPE CONDITIONS
  16. CHAPTER 10. MINIMAL DECOMPOSITION OF ALL GRAPHS WITH EQUINUMEROUS VERTICES AND EDGES INTO MUTUALLY ISOMORPHIC SUBGRAPHS
  17. CHAPTER 11. ON IRREGULARITIES OF DISTRIBUTION
  18. CHAPTER 12. SOME THEOREMS OF THE NORDHAUS-GADDUM CLASS
  19. CHAPTER 13. A RESTRICTED VERSION OF HALES-JEWETT'S THEOREM
  20. CHAPTER 14. SIZE RAMSEY NUMBERS INVOLVING MATCHINGS
  21. CHAPTER 15. SELECTIVITY OF HYPERGRAPHS
  22. CHAPTER 16. GENERALIZED POLYMATROIDS
  23. CHAPTER 17. MATROIDS FROM CROSSING FAMILIES
  24. CHAPTER 18. FAMILIES OF FINITE SETS WITH MISSING INTERSECTIONS
  25. CHAPTER 19. EXTENDING FUNCTIONS FROM SUBSETS
  26. CHAPTER 20. AN ERDÖS-KO-RADO TYPE THEOREM
  27. CHAPTER 21. STRONG SYSTEMS OF REPRESENTATIVES
  28. CHAPTER 22. GRAPHS ASSOCIATED WITH AN INTEGRAL DOMAIN AND THEIR APPLICATIONS
  29. CHAPTER 23. MONOCHROMATIC PATHS IN INFINITE COLOURED GRAPHS
  30. CHAPTER 24. TWO-COLORINGS OF SIMPLE ARRANGEMENTS
  31. CHAPTER 25. ON DUMPLING-EATING GIANTS
  32. CHAPTER 26. ON CIRCULAR FLOWS IN GRAPHS
  33. CHAPTER 27. LONGEST CIRCUITS IN 3-CONNECTED GRAPHS