Contact Info
Combinatorics & Optimization
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext 33038
PDF files require Adobe Acrobat Reader.
Speaker: | David Wagner |
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Affiliation: | University of Waterloo |
Room: | Mathematics & Computer Building (MC) 5158 |
The random cluster model (RCM) is an object of interest in graph theory, probability, and statistical mechanics. Its combinatorial aspects include chromatic polynomials, spanning trees or forests, and connected spanning subgraphs. Physical applications include percolation, network reliability, and the theory of electrical networks. Applied to a complete graph, the RCM produces the Erdös-Rényi random graph as a special case.
I'll survey the origins of the RCM early in the 20th century, work from the 1970s on positive correlation inequalities, and recent work on the much more delicate subject of negative correlation inequalities.
Combinatorics & Optimization
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext 33038
PDF files require Adobe Acrobat Reader.
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.