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25 Remote Warehouse Mathematics- Combinatorics

Classic Papers in Combinatorics (Modern Birkhauser Classics)

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Classic Papers in Combinatorics (Modern Birkhauser Classics) Cover

 

Synopses & Reviews

Publisher Comments:

This volume surveys the development of combinatorics since 1930 by presenting in chronological order the fundamental results of the subject proved in over five decades of original papers by:.-T. van Aardenne-Ehrenfest.-R.L. Brooks.-N.G. de Bruijn.-G.F. Clements.-H.H. Crapo.-R.P. Dilworth.-J. Edmonds.-P.Erdös.-L.R. Ford, Jr.-D.R. Fulkerson.-D. Gale.-L. Geissinger.-I.J. Good.-R.L. Graham.-A.W. Hales.-P. Hall.-P.R. Halmos.-R.I. Jewett.-I. Kaplansky.-P.W. Kasteleyn.-G. Katona.-D.J. Kleitman.-K. Leeb.-B. Lindström.-L. Lovász.-D. Lubell.-C. St. J.A. Nash-Williams.-G. Pólya.-F.P. Ramsey.-G.C. Rota.-B.L. Rothschild.-H.J. Ryser.-C. Schensted.-M.P. Schützenberger.-R.P. Stanley.-G. Szekeres.-W.T. Tutte.-H.E. Vaughan.-H. Whitney.

Table of Contents

Introduction.- On a Problem of Formal Logic.- Non-separable and Planar Graphs.- A Combinatorial Problem in Geometry.- On Representatives of Subsets.- On the Abstract Properties of Linear Dependence.- The Dissection of Rectangles into Squares.- On Colouring the Nodes of a Network.- Solution of the "Problème des Ménages".- A Ring in Graph Theory.- A Decomposition Theorem for Partially Ordered Sets.- The Marriage Problem.- Circuits and Trees in Oriented Linear Graphs.- The Factors of Graphs.- A Partition Calculus in Set Theory.- Maximal Flow through a Network.- On Picture-writing.- A Theorem on Flows in Networks.- Combinatorial Problems in Matrices of Zeros and Ones.- Graph Theory and Probability.- The Statistics of Dimers on a Lattice: I. The Number of Dimer Arrangements on a Quadratic Lattice.- Longest Increasing and Decreasing Subsequences.- On a Theorem of R. Jungen.- Regularity and Positional Games.- On Well-Quasi-Ordering Finite Trees.- On the Foundations of Combinatorial Theory: I. Theory of Möbius Functions.- Paths, Trees, and Flowers.- A Theorem of Finite Sets.- A Short Proof of Sperner's Lemma.- Möbius Inversion on Lattices.- A Generalization of a Combinatorial Theorem of Macaulay.- Short Proof of a Conjecture by Dyson.- On a Lemma of Littlewood and Oxford on the Distributions of Linear Combinations of Vectors.- Ramsey's Theory for a Class of Categories.- A Characterizations of Perfect Graphs.- A Note on the Line Reconstruction Problem.- Acyclic Orientation of Graphs.- Valuations of Distributive Lattices I.-Valuations of Distributive Lattices II.- Valuations of Distributive Lattices III.- Permissions.-Index.

Product Details

ISBN:
9780817648411
Author:
Gessel, Ira
Publisher:
Birkhauser
Editor:
Rota, Gian-Carlo
Editor:
Rota, G. -C
Author:
Rota, Gian-Carlo
Subject:
Combinatorics
Subject:
Logic
Subject:
Number Theory
Subject:
Combinatorial analysis
Subject:
Acyclic orientations of graphs
Subject:
Combinatorial theorem of Macaulay
Subject:
Graph Theory and Probability
Subject:
Mbius Functions
Subject:
Mbius inversion in lattices
Subject:
Non-separable and planar graphs
Subject:
Partition Calculus
Subject:
Positional games
Subject:
Set Theory
Subject:
Sperner s lemma
Subject:
Subsets
Subject:
decomposition theorem
Subject:
lemma of Littlewood and Oxford
Subject:
Partially ordered sets
Subject:
Mathematical Logic and Foundations
Subject:
Mathematics - General
Subject:
Mathematics-Combinatorics
Copyright:
Edition Description:
Reprint of the 1987 ed.
Series:
Modern Birkhäuser Classics
Publication Date:
20081126
Binding:
TRADE PAPER
Language:
English
Pages:
502
Dimensions:
235 x 155 mm 1540 gr

Related Subjects

Science and Mathematics » Mathematics » Combinatorics
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

Classic Papers in Combinatorics (Modern Birkhauser Classics) New Trade Paper
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