D
Dominic Welsh
Researcher at University of Oxford
Publications - 72
Citations - 3012
Dominic Welsh is an academic researcher from University of Oxford. The author has contributed to research in topics: Matroid & Graphic matroid. The author has an hindex of 26, co-authored 72 publications receiving 2869 citations. Previous affiliations of Dominic Welsh include University of Bonn & University of Michigan.
Papers
More filters
Book
Complexity: Knots, Colourings and Counting
TL;DR: In a series of lectures given at the Advanced Research Institute of Discrete Applied Mathematics (ARDI) at Rutgers University as mentioned in this paper, the authors link together algorithmic problems arising in knot theory, statistical physics and classical combinatorics.
Book
Codes and Cryptography
TL;DR: The noiseless coding theorem for memoryless sources, and the structure of natural languages and cryptosystems, and more.
Book ChapterDOI
Percolation probabilities on the square lattice
Paul Seymour,Dominic Welsh +1 more
TL;DR: In this paper, the problem of percolation through an n × n sponge is introduced and the FKG inequality of Fortuin, Kasteleyn, and Ginibre is proved.
Book
Probability: An Introduction
Geoffrey Grimmett,Dominic Welsh +1 more
TL;DR: In this paper, a concise introduction to probability and random processes is given, with exercises and problems ranging from simple to difficult, and the overall treatment, though elementary, includes rigorous mathematical arguments.
Journal ArticleDOI
Random planar graphs
TL;DR: It is shown that the probability that Rn is connected is bounded away from 0 and from 1, and that each positive integer k, with high probability Rn has linearly many vertices of a given degree.