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＜電子ブック＞
Classic Papers in Combinatorics / edited by Ira Gessel, Gian-Carlo Rota
(Modern Birkhäuser Classics. ISSN:21971811)

版	1st ed. 1987.
出版者	(Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser)
出版年	1987
本文言語	英語
大きさ	X, 492 p. 10 illus : online resource
著者標目	Gessel, Ira editor Rota, Gian-Carlo editor SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Mathematical logic LCSH:Number theory LCSH:Mathematics FREE:Discrete Mathematics FREE:Mathematical Logic and Foundations FREE:Number Theory FREE:Mathematics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-0-8176-4842-8

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