A Tribute to Paul Erdos

Author: A. Baker; B. Bollobás; A. Hajnal  

Publisher: Cambridge University Press‎

Publication year: 1990

E-ISBN: 9780511899232

P-ISBN(Paperback): 9780521381017

Subject: O243 图解数学、图算数学

Keyword: 图解数学、图算数学

Language: ENG

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A Tribute to Paul Erdos

Description

This volume is dedicated to Paul Erdos, who profoundly influenced mathematics in the twentieth century, with over 1200 papers in number theory, complex analysis, probability theory, geometry, interpretation theory, algebra set theory and combinatorics. One of Erdos' hallmarks was the host of stimulating problems and conjectures, to many of which he attached monetary prices, in accordance with their notoriety. A feature of this volume is a collection of some 50 outstanding unsolved problems, together with their 'value'! Eminent mathematicians from around the world have contributed articles to this volume that reflect the diversity of Erdos' interests, and it will be a fund of insight for number theorists, combinatorialists, set theorists and analysts.

Chapter

Almost collinear triples among N points on the plane

Hamilton cycles in random graphs of minimal degree at least k

The circumference of a graph with a given minimal degree

On arithmetic progressions in sums of sets of integers

On graphs not containing prescribed induced subgraphs

Partitions sans petits sommants

A compact sequential space

The critical parameter for connectedness of some random graphs

Multiplicative functions on arithmetic progressions: III. The large moduli

Locally finite groups of permutations of N acting on l8

Hypergraph games and the chromatic number

On arithmetic graphs associated with integral domains

On the number of certain subgraphs of graphs without large cliques and independent subsets

Sets of multiples of Behrend sequences

A functional equation arising from mortality tables

The differences between consecutive primes, IV

On the cofinality of countable products of cardinal numbers

On s-centered posets

A Galvin–Hajnal conjecture on uncountably chromatic graphs

Necessary conditions for mean convergence of Hermite–Fejér interpolation

On the Erdos–Fuchs theorems

A tournament which is not finitely representable

On the volume of the spheres covered by a random walk

Special Lucas sequences, including the Fibonacci sequence, modulo a prime

A remark on heights of subspaces

Incompactness for chromatic numbers of graphs

Graphs with no unfriendly partitions

On the greatest prime factor of an arithmetical progression

The probabilistic lens: Sperner, Turan and Bregman revisited

On the mean convergence of derivatives of Lagrange interpolation

Sur une question d'Erdos et Schinzel

Large a-preserving sets in infinite a-connected graphs

Some recent results on interpolation

Partitioning the quadruples of topological spaces

Some of my favourite unsolved problems

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