Speaker: Brett Stevens (Carleton
University)
Time and Place: 3 November 2006,
2:30pm, KED B004, University of Ottawa
Title: The Solution to the Shannon Switching Game
Abstract:
Shannon's switching game is a problem about
the connectivity of a network under attack. One player deletes edges
and the other makes some invulnerable attempting to connect two
vertices before the other player destroys all possibility of
connection. In a 1964 article that is now regarded as a classic, A.
Lehman generalized the game to
matroids and completely solved it. We present his solution. A. Lehman
was awarded the Fulkerson prize for his work in discrete mathematics
and
died earlier this year.