Discrete Mathematics Group at URI

The faculty of our group is interested in a wide range of areas in discrete mathematics both pure and applied: graph theory, network theory, extremal and probabilistic methods, analytic methods, finite model theory, combinatorial games, combinatorial optimization, bioinformatics applications.

Seminar  Our seminar is held Fridays 1-2pm in Lippitt 204. Seminar archive.

Speaker Anthony Bonato, Ryerson University
Title What we know and don't know about the cop number of a graph
Time Wednesday March 4, 2020, 1-2pm, Lippitt 204
Abstract The game of Cops and Robbers played on graphs gives rise to a rich theory focusing on the cop number of a graph. While we possess a good structural and algorithmic understanding of the cop number for many graph families, Meyniel's conjecture and Schroeder's conjecture point to our limited understanding of this parameter. We give an overview of major results and conjectures on the cop number of graphs, and consider recent variants such as Lazy Cops and Robbers, Zombies and Survivors, and the localization game.
Host: W. Kinnersley


Faculty and their research
     Michael Barrus, graph theory
     Nancy Eaton, graph theory
     Jie Han, extremal and probabilistic combinatorics
     Barbara Kaskosz, analysis and its applications to discrete mathematics
     William Kinnersley, graph theory and combinatorial games
     Lubos Thoma, extremal and probabilistic combinatorics

Doctoral students
     Erika Fiore
     John Jones
     Benjamin Lantz
     Eric Peterson
     Nikolas Townsend

Graduate courses   MTH547 Combinatorics, MTH548 Graph Theory, MTH515/516 Algebra, MTH550 Probability and Stochastic Processes, MTH581 Optimization Methods, MTH656 Probability on Discrete Structures, CSC541 Advanced Topics in Algorithms, CSC542 Mathematical Analysis of Algorithms, CSC544 Theory of Computation, Special topics courses in Extremal Graph Theory, Ramsey Theory, Algebraic Combinatorics.

Discrete mathematics nearby
MIT Combinatorics seminar Brown Discrete Mathematics seminar / applied seminars
MIT Probability seminar Yale Combinatorics and probability seminar