Cubic graphs and number fields

Geometry Topology Seminar
Monday, February 23, 2009 - 1:00pm for 1 hour (actually 50 minutes)
Skiles 269
Stavros Garoufalidis – School of Mathematics, Georgia Tech – stavros@math.gatech.edu
Stavros Garoufalidis
A cubic graph is a graph with all vertices of valency 3. We will show how to assign two numerical invariants to a cubic graph: its spectral radius, and a number field. These invariants appear in asymptotics of classical spin networks, and are notoriously hard to compute. They are known for the Theta graph, the Tetrahedron, but already unknown for the Cube and the K_{3,3} graph. This is joint work with Roland van der Veen: arXiv:0902.3113.