Browsing Cornell Theses and Dissertations by Author "Chong, Kai Fong Ernest"

eCommons will become read-only at noon on May 26 for an infrastructure update. Submissions will not be accepted at this time. We anticipate that this update will be completed by June 2 at 5 p.m.

Please contact us at ecommons-admin@cornell.edu if you have questions or concerns.

Now showing items 1-1 of 1

Face Vectors And Hilbert Functions

Chong, Kai Fong Ernest (2015-08-17)

This dissertation builds upon two well-known theorems: Macaulay's theorem on the Hilbert functions of graded ideals, and the Kruskal-Katona theorem on the face vectors of simplicial complexes. There are four parts in the ...