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Catalogue Information
Field name
Details
Dewey Class
511.6
Title
Classic Papers in Combinatorics ([EBook]) / edited by Ira Gessel, Gian-Carlo Rota.
Added Personal Name
Gessel, Ira
Rota, Gian-Carlo. , 1932- editor.
Other name(s)
SpringerLink (Online service)
Edition statement
Reprint of the 1987 Edition
Publication
Boston, MA : Birkhäuser , 2009
Physical Details
X, 492 pages, 10 illus. : online resource.
Series
Modern Birkhäuser classics
ISBN
9780817648428
Summary Note
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.:
Contents note
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 Dependence1 -- 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 Properties of Matrices of Zeros and Ones -- Graph Theory and Probability -- The Statistics of Dimers on a 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 -- Paths, Trees, and Flowers -- A Theorem of Finite Sets -- A Short Proof of Sperner’s Lemma -- Möbius Inversion in Lattices -- A Generalization of a Combinatorial Theorem of Macaulay -- Short Proof of a Conjecture by Dyson -- On a Lemma of Littlewood and Offord on the Distributions of Linear Combinations of Vectors* -- Ramsey’s Theorem for a Class of Categories -- A Characterization of Perfect Graphs -- A Note on the Line Reconstruction Problem -- Acyclic Orientations of Graphs* -- Valuations on Distributive Lattices I -- Valuations on Distributive Lattices II -- Valuations on Distributive Lattices III.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-0-8176-4842-8
Links to Related Works
Subject References:
Combinatorics
.
Mathematical logic
.
Mathematical Logic and Foundations
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Mathematics
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Mathematics, general
.
Number Theory
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Authors:
editor
.
Gessel, Ira
.
Rota, Gian-Carlo, 1932-
.
Corporate Authors:
SpringerLink (Online service)
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Series:
Modern Birkhäuser classics
.
Classification:
511.6
.
511.6 (DDC 22)
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