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. Erd?s.- 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. Lindstr?m.- L. Lov?sz.- D. Lubell.- C. St. J.A. Nash-Williams.- G. P?lya.-R. Rado.- F.P. Ramsey.- G.-C. Rota.- B.L. Rothschild.- H.J. Ryser.- C. Schensted.- M.P. Sch?tzenberger.- R.P. Stanley.- G. Szekeres.- W.T. Tutte.- H.E. Vaughan.- H. Whitney.
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 Probl?me Des M?nages.- 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 Shorl“8