Discrete CATS Seminar
U N I V E R S I T Y
K E N T U C K Y
WHERE CATS =
845 PATTERSON OFFICE TOWER
2011 - 2012
"An Extended Euler-Poincare Theorem"
University of Kentucky
Monday, November 28, 2011
The Euler-Poincare Formula is a well-known linear relation involving
the f-vector and Betti sequence of a finite simplicial complex. In
this talk I will present a theorem by Bjӧrner and Kalai that extends
this relation so that for a d-dimensional simplicial complex, we can
find d additional relations between the two sequences, as well as
characterize all possible f/Betti pairs.