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Atlantic Graph Theory Seminar: Dr. Gary Gordon, Lafayette College

February 24, 2021 @ 3:30 pm - 4:30 pm

Permutations of finite subsets of R^2 generated by Euclidean distances

Given a finite set of points S = {P1, P2, . . . , Pn} and a vantage point V, generate an ordering of the points of S by measuring the Euclidean distance from V to each of the points of S, ordering them from nearest to farthest. As the vantage point moves around the plane, different orderings will be generated. We are interested in the maximum, minimum, and intermediate values achievable for different point-sets S. (Good and Tideman solved the maximum problem in all dimensions in the 1970s.) We also consider a generalization that uses two vantage points, using the average distance (d(V1, Pk) + d(V2, Pk))/2 to the points of S to generate an ordering.

The Atlantic Graph Theory Seminar series will take place every Wednesday from 3:30-4:30 ADT online via zoom. The talks, provided by researchers, postdocs and graduate students, will be on a variety of current topics in graph theory. If you would like to give a talk or attend, please email one of the organizers (Jason Brown and Danielle Cox).


February 24, 2021
3:30 pm - 4:30 pm
Event Category:


Zoom seminar


Jason Brown