Classic Papers in Combinatorics

Nachdruck of the 1987 Auflage 2008
ISBN: 978-0-8176-4841-1
Verlag: Birkhauser Boston

Buch, Englisch, 492 Seiten, Format (B × H): 155 mm x 237 mm, Gewicht: 1540 g

Reihe: Modern Birkhäuser Classics

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.

Zielgruppe

Research

Autoren/Hrsg.

Gessel, Ira

Rota, Gian-Carlo

Fachgebiete

• Mathematik | Informatik Mathematik Operations Research Graphentheorie
• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

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.