Classic Papers in Combinatorics
Birkhauser Boston Inc (Verlag)
978-0-8176-4841-1 (ISBN)
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 | 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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