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Beskrivning
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.
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.
