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Thursday, November 16, 2017

Thursday, November 16, 2017 — 3:30 PM EST

Title: Constructing cospectral graphs with a different switching

Speaker: Chris Godsil Affiliation: University of Waterloo Room: MC 6486

Abstract:

Many years ago, Brendan McKay and I introduced a construction of pairs of cospectral graphs, sometimes known as local switching. In the same paper we introduced a second switching technique which produces, as special cases, the smallest pair of cospectral graphs and the smallest pair of connected cospectral graphs.

Thursday, November 16, 2017 — 3:30 PM EST

Title: Convex drawings of complete graphs:  topology meets geometry

Speaker: Bruce Richter Affiliation: University of Waterloo Room: MC 5479

Abstract:

A drawing D of the complete graph K(n) is the sphere is characterized by, for each isomorph J of K(5), D[J] is homeomorphic to one of the three rectilinear drawings of K(5).  Every drawing of K(n) in the plane with all edges straight-line segments is obviously convex.  Thus, convex drawings generalize planar point sets that are in general position. 

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