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

ISBN

9781483161228

Topic

Mathematics

Subtopic

Mathematics General

Index

Mathematics

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