Selected Papers on Discrete Mathematics

Volume 106

By: Donald E. Knuth

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Paperback | 1 June 2001 | Edition Number 1

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Donald Knuth's influence in computer science ranges from the invention of literate programming to the development of the TeX programming language. One of the foremost figures in the field of mathematical sciences, his papers are widely referenced and stand as milestones of development over a wide range of topics. This volume assembles more than three dozen of Professor Knuth's pioneering contributions to discrete mathematics. It includes a variety of topics in combinatorial mathematics (finite geometries, graph theory, enumeration, partitions, tableaux, matroids, codes); discrete algebra (finite fields, groupoids, closure operators, inequalities, convolutions, Pfaffians); and concrete mathematics (recurrence relations, special numbers and notations, identities, discrete probability). Of particular interest are two fundamental papers in which the evolution of random graphs is studied by means of generating functions.

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You Can Find This Book In

Non-Fiction Mathematics Discrete Mathematics Mathematical Foundation Mathematical Logic Geometry Algebra Science Science in General Language & Linguistics Linguistics Miscellaneous Items

Computing & I.T.Computer Science Mathematical Theory of Computation

Combinatorial Analysis and Computers
Two Notes on Notation
Bracket Notation for the ‘Coefficient of’ Operator
Johann Faulhaber and Sums of Powers
Notes on Thomas Harriot
A Permanent Inequality
Overlapping Pfaffians
The Sandwich Theorem
Combinatorial Matrices
Aztec Diamonds, Checkerboard Graphs, and Spanning Trees
Partitioned Tensor Products and Their Spectra
Oriented Subtrees of an Arc Digraph
Another Enumeration of Trees
Abel Identities and Inverse Relations
Convolution Polynomials
Polynomials Involving the Floor Function
Construction of a Random Sequence
An Imaginary Number System
Tables of Finite Fields
Finite Semifields and Projective Planes
A Class of Projective Planes
Notes on Central Groupoids
Huffman’s Algorithm via Algebra
Wheels Within Wheels
Complements and Transitive Closures
Random Matroids
The Asymptotic Number of Geometries
Permutations with Nonnegative Partial Sums
Efficient Balanced Codes
The Knowlton – Graham Partition Problem
Permutations, Matrices, and Generalized Young Tableaux
Enumeration of Plane Partitions
A Note on Solid Partitions
Identities from Partition Involutions
Subspaces, Subsets, and Partitions
The Power of a Prime That Divides a Generalized Coefficient
An Almost Linear Recurrence
Recurrence Relations Based on Minimization
A Recurrence Related to Trees
The First Cycles in an Evolving Graph
The Birth of the Giant Component
Index
Table of Contents provided by Publisher. All Rights Reserved.

Selected Papers on Discrete Mathematics

Volume 106

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