Event Title
Conjectures and Results Involving Orderings, Posets, and Lattices
Presentation Type
Poster/Portfolio
Presenter Major(s)
Computer Science, Mathematics
Mentor Information
Brian Drake
Department
Mathematics
Location
KC97
Start Date
11-4-2012 12:00 PM
Keywords
Creativity/ Innovation, Mathematical Science
Abstract
In discrete mathematics, there are partial orders on permutations relating how much they are disordered. One of these orders, the weak order, has some additional structure called a lattice. Our work presents conjectures and results from combining the weak order with other orders to form larger posets with the aim that these posets exhibit properties of a lattice. Our ideas include the use of alternative representations such as binary matrices.
Conjectures and Results Involving Orderings, Posets, and Lattices
KC97
In discrete mathematics, there are partial orders on permutations relating how much they are disordered. One of these orders, the weak order, has some additional structure called a lattice. Our work presents conjectures and results from combining the weak order with other orders to form larger posets with the aim that these posets exhibit properties of a lattice. Our ideas include the use of alternative representations such as binary matrices.