Classic Papers in Combinatorics

Ira Gessel, Gian-Carlo Rota (Herausgeber)

Buch | Softcover
492 Seiten
2008 | Reprint of the 1987 ed.
Birkhauser Boston Inc (Verlag)
978-0-8176-4841-1 (ISBN)

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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.
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. Erdos.- 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. Lindstrom.- L. Lovasz.- D. Lubell.- C. St. J.A. Nash-Williams.- G. Polya.-R. Rado.- F.P. Ramsey.- G.-C. Rota.- B.L. Rothschild.- H.J. Ryser.- C. Schensted.- M.P. Schutzenberger.- R.P. Stanley.- G. Szekeres.- W.T. Tutte.- H.E. Vaughan.- H. Whitney.

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.

Reihe/Serie Modern Birkhäuser Classics
Zusatzinfo 10 Illustrations, black and white; X, 492 p. 10 illus.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Graphentheorie
Mathematik / Informatik Mathematik Logik / Mengenlehre
Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
ISBN-10 0-8176-4841-0 / 0817648410
ISBN-13 978-0-8176-4841-1 / 9780817648411
Zustand Neuware
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