The chapter entitled "Topological Methods" by R.T. Živaljević,
in the
<em>[Handbook of Discrete and Computational Geometry][1]</em>,
CRC Press, Chapter 14, 2004, is a good source.

I believe ham-sandwich cuts play a role in regression depth computations,
e.g., in the 2000 paper by Marshall Bern and David Eppstein,
"[Multivariate Regression Depth][2]."

Since you consider the center-point theorem and the center-traversal theorem as
applications of the ham-sandwich theorem, this leads to a different proof
of the Lipton-Tarjan small-separator theorem for planar graphs, a connection
established by Miller, Teng, Thurston, and Vavasis
in "[Separators for sphere-packings and nearest neighbor graphs][3],"
_Journal of the ACM_, 1997.


  [1]: http://www.crcpress.com/product/isbn/9781584883012
  [2]: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.4562
  [3]: http://dl.acm.org/citation.cfm?id=256294