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More Sets, Graphs and Numbers

Editat de Ervin Gyori, László Lovász, Gyula O. H. Katona
en Limba Engleză Paperback – 21 noi 2014
Discrete mathematics, including (combinatorial) number theory and set theory has always been a stronghold of Hungarian mathematics. The present volume honouring Vera Sos and Andras Hajnal contains survey articles (with classical theorems and state-of-the-art results) and cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian subjects, like extremal combinatorics, colorings, combinatorial number theory, etc. The open problems and the latest results in the papers inspire further research.
The volume is recommended to experienced specialists as well as to young researchers and students.
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Specificații

ISBN-13: 9783642421631
ISBN-10: 3642421636
Pagini: 408
Ilustrații: VIII, 399 p.
Dimensiuni: 155 x 235 x 21 mm
Greutate: 0.69 kg
Ediția:2006
Editura: Springer Berlin, Heidelberg
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

A Unifying Generalization of Sperner’s Theorem.- A Quick Proof of Sprindzhuk’s Decomposition Theorem.- Discrepancy in Graphs and Hypergraphs.- Biplanar Crossing Numbers I: A Survey of Results and Problems.- An Exercise on the Average Number of Real Zeros of Random Real Polynomials.- Edge-Connection of Graphs, Digraphs, and Hypergraphs.- Perfect Powers in Products with Consecutive Terms from Arithmetic Progressions.- The Topological Version of Fodor’s Theorem.- Color-Critical Graphs and Hypergraphs with Few Edges: A Survey.- Pseudo-random Graphs.- Bounds and Extrema for Classes of Graphs and Finite Structures.- Relaxing Planarity for Topological Graphs.- Notes on CNS Polynomials and Integral Interpolation.- The Evolution of an Idea — Gallai’s Algorithm.- On the Number of Additive Representations of Integers.- A Lifting Theorem on Forcing LCS Spaces.- Extremal Functions for Graph Minors.- Periodicity and Almost-Periodicity.