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 Burning spiders and path forests
Time Wednesday November 15, 2017, 1-2pm, Lippitt 204
Abstract Graph burning is a simplified model for the spread of memes and contagion in social networks. A fire breaks out in each time-step and spreads to its neighbours. The burning number of a graph measures the number of time-steps it takes so that all vertices are burning. While it is conjectured that the burning number of a connected graph of order n is a most the ceiling of the square root of n, this remains open in general.
We prove the conjectured bound for spider graphs, which are trees with exactly one vertex of degree at least 3. To prove our result for spiders, we develop new bounds on the burning number for path-forests, which in turn leads to a 3/2-approximation algorithm for computing the burning number of path-forests.
Host: Bill Kinnersley


Faculty and their research
     Michael Barrus, graph theory
     Nancy Eaton, Associate Dean at the College of Arts and Sciences, graph theory
     Barbara Kaskosz, analysis and its applications to discrete mathematics
     William Kinnersley, graph theory and combinatorial games
     Alexandr Kodess, algebraic combinatorics
     Lubos Thoma, extremal and probabilistic combinatorics

Doctoral students
     Jean Guillaume
     John Jones
     Eric Peterson

Graduate courses   MTH547 Combinatorics, MTH548 Graph Theory, MTH515/516 Algebra, MTH550 Probability and Stochastic Processes, 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