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The Mathematics of Paul Erdős II
Paperback
General MathematicsGeometryProbability & Statistics
ISBN13: 9781489990075
Publisher: Springer Nature
Published: Aug 23 2015
Pages: 607
Weight: 1.91
Height: 1.27 Width: 6.14 Depth: 9.21
Language: English
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.
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