Mathematics Program Presents
Summer Research Presentation
Tuesday, October 3, 2017
Hegeman 204
12:00 pm EDT/GMT-4
Eric Zhang, ’1812:00 pm EDT/GMT-4
COMPACTNESS OF RIGID GRAPH
Given a graph G, a framework is a straight line embedding of a G into d-dimensional space. Two frameworks of G are equivalent if the corresponding edges in the two frameworks have the same length. Given a collection of equivalent frameworks of G, a framework is compact if the distance between all pairs of vertices is minimal among the collection. We are mainly considering generic frameworks, in which the coordinates of the vertices of G are algebraically independent. In this paper, we studied compact frameworks in R and R^2.
For more information, call 845-758-6822, or e-mail [email protected].
Time: 12:00 pm EDT/GMT-4
Location: Hegeman 204