• Enumerative combinatorics of posets 

      Carroll, Christina C. (Georgia Institute of Technology, 2008-04-01)
      This thesis contains several results concerning the combinatorics of partially ordered sets (posets) which are either of enumerative or extremal nature. <br><br> The first concerns conjectures of Friedland and Kahn, which ...
    • New combinatorial techniques for nonlinear orders 

      Marcus, Adam Wade (Georgia Institute of Technology, 2008-06-26)
      This thesis focuses on the use of extremal techniques in analyzing problems that historically have been associated with other areas of discrete mathematics. We establish new techniques for analyzing combinatorial problems ...