The Mathematics of Paul Erdős II

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

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Bibliographic Details
Other Authors: Graham, Ronald L. (Editor), Nešetřil, Jaroslav (Editor), Butler, Steve (Editor)
Format: eBook
Language:English
Published: New York, NY Springer New York 2013, 2013
Edition:2nd ed. 2013
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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 Erdős 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 Erdős
  • Memories on Shadows and Shadows of Memories
  • A Bound of the Cardinality of Families Not Containing Δ-Systems
  • Flag Algebras: An Interim Report
  • Arrangeability and Clique Subdivisions
  • A Finite Partition Theorem with Double Exponential Bound
  • Paul Erdős' 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 Erdős on the Infinite Version of Menger's Theorem
  • The Random Graph
  • Paul Erdős' Set Theory
  • Set Theory: Geometric and Real
  • On Order-Perfect Lattices
  • The PCF Theorem Revisited
  • Paul Erdős: The Master of Collaboration
  • List of Publications of Paul Erdős
  • Postscript