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The Mathematics of Paul Erdös II

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Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Introduction
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    Chapter 2 Problems in Graph Theory from Memphis
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    Chapter 3 Neighborly Families of Boxes and Bipartite Coverings
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    Chapter 4 Cycles and Paths in Triangle-Free Graphs
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    Chapter 5 Reconstruction Problems for Digraphs
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    Chapter 6 The Dimension of Random Graph Orders
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    Chapter 7 Hereditary and Monotone Properties of Graphs
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    Chapter 8 Properties of Graded Posets Preserved by Some Operations
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    Chapter 9 Intersection Representations of the Complete Bipartite Graph
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    Chapter 10 Reflections on a Problem of Erdős and Hajnal
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    Chapter 11 The Chromatic Number of the Two-packing of a Forest
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    Chapter 12 On the Isolation of a Common Secret
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    Chapter 13 Some Remarks on the Cycle Plus Triangles Problem
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    Chapter 14 Introduction
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    Chapter 15 Paul Erdős’ Influence on Extremal Graph Theory
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    Chapter 16 Ramsey Theory in the Work of Paul Erdős
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    Chapter 17 Memories on Shadows and Shadows of Memories
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    Chapter 18 Applications of the Probabilistic Method to Partially Ordered Sets
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    Chapter 19 A Bound of the Cardinality of Families not Containing Δ-Systems
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    Chapter 20 Arrangeability and Clique Subdivisions
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    Chapter 21 A Finite Partition Theorem with Double Exponential Bound
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    Chapter 22 Introduction
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    Chapter 23 Extension of Functional Equations
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    Chapter 24 Remarks on Penrose Tilings
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    Chapter 25 Distances in Convex Polygons
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    Chapter 26 The Number of Homothetic Subsets
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    Chapter 27 On Lipschitz Mappings onto a Square
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    Chapter 28 A Remark on Transversal Numbers
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    Chapter 29 In Praise of the Gram Matrix
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    Chapter 30 On Mutually Avoiding Sets
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    Chapter 31 Introduction
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    Chapter 32 The Random Graph
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    Chapter 33 Paul Erdős’ Set Theory
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    Chapter 34 A Few Remarks on a Conjecture of Erdős on the Infinite Version of Menger’s Theorem
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    Chapter 35 On Order-Perfect Lattices
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    Chapter 36 The PCF Theorem Revisited
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    Chapter 37 Set Theory: Geometric and Real
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Title
The Mathematics of Paul Erdös II
Published by
Springer Berlin Heidelberg, December 2012
DOI 10.1007/978-3-642-60406-5
ISBNs
978-3-64-264393-4, 978-3-64-260406-5
Editors

Graham, Ronald L., Nešetřil, Jaroslav