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The Mathematics of Paul ErdQs II

This is the most comprehensive survey of the mathematical life of the legendary Paul ErdQs (1913-1996), one of the most versatile and prolific mathematicians of our time. For the first time, all the main areas of ErdQs' research are covered in a single project. Because of overwhelming response...

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Graham, Ronald L. (Editor), NeaetYil, Jaroslav. (Editor), Butler, Steve. (Editor)
Format: Electronic
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 2013.
Edition:2nd ed. 2013.
Subjects:
Mathematics.
Combinatorics.
Logic, Symbolic and mathematical.
Mathematics, general.
Graph Theory.
Mathematical Logic and Foundations.
Online Access:https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4614-7254-4
Table of Contents:
  • VOLUME II
  • Part I Combinatorics and Graph Theory
  • Introduction
  • Reconstruction Problems for Digraphs
  • Neighborly Families of Boxes and Bipartite Coverings
  • On the Isolation of a Common Secret
  • Properties of Graded Posets Preserved by Some Operations
  • The Dimension of Random Graph Orders
  • Hereditary and Monotone Properties of Graphs
  • Cycles and Paths in Triangle-Free Graphs
  • Problems in Graph Theory from Memphis
  • Some Remarks on the Cycle Plus Triangles Problem
  • Intersection Representations of the Complete Bipartite Graph
  • Reflections on a Problem of ErdQs and Hajnal
  • The Chromatic Number of the Two-Packing of a Forest
  • Part II Ramsey and Extremal Theory
  • Introduction
  • Ramsey Theory in the Work of Paul ErdQs
  • Memories on Shadows and Shadows of Memories
  • A Bound of the Cardinality of Families Not Containing <U+0094>-Systems
  • Flag Algebras: An Interim Report
  • Arrangeability and Clique Subdivisions
  • A Finite Partition Theorem with Double Exponential Bound
  • Paul ErdQs' Influence on Extremal Graph Theory
  • Applications of the Probabilistic Method to Partially Ordered Sets
  • Part III Infinity
  • Introduction
  • A Few Remarks on a Conjecture of ErdQs on the Infinite Version of Menger's Theorem
  • The Random Graph
  • Paul ErdQs' Set Theory
  • Set Theory: Geometric and Real
  • On Order-Perfect Lattices
  • The PCF Theorem Revisited
  • Paul ErdQs: The Master of Collaboration
  • List of Publications of Paul ErdQs
  • Postscript.

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