The Mathematics of Paul Erdős II

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Graham, Ronald L. (Επιμελητής έκδοσης), Nešetřil, Jaroslav (Επιμελητής έκδοσης), Butler, Steve (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Έκδοση: 2nd ed. 2013.
• Θέματα: Mathematics.; Mathematical logic.; Combinatorics.; Graph theory.; Mathematics, general.; Graph Theory.; Mathematical Logic and Foundations.

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...

Πίνακας περιεχομένων:

• 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.