Algebra & Combinatorics Seminar

"The Center Function on Ptolemaic Graphs"
Professor Robert Powers

Thursday November 8th  at 10 am in NS 333

Let G = (V,E) be a finite connected graph. The _center function_ Cen on G takes as input any nonempty subset pi of V and outputs Cen(pi), the set of all vertices that minimize the maximum distance to pi. If G is a tree and a subset pi of V has at least two elements, then there exist distinct x and y in pi such that Cen(pi) = Cen(x, y). The previous fact, called the (EXP) property, may not hold if G is not a tree. The goal of my talk is to argue that the (EXP) property holds when G is a ptolemaic graph.

This project is in collaboration with Steve Seif and Martyn Mulder.


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The University of Louisville is accredited by the Commission on Colleges of the Southern Association of Colleges and Schools to award associate, bachelor, master, specialist, doctoral, and first-professional degrees (D.M.D., J.D., M.D.). Individuals who wish to contact the Commission on Colleges regarding the accreditation status of the university may write the Commission at 1866 Southern Lane, Decatur, Georgia 30033-4097, or call (404) 679-4500. See Accreditation Confirmation Letter for more Information.

University of Louisville, Department of Mathematics.
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