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Investigating the Symmetry of the q,t-Catalan Polynomials Using New Statistics on Plane Binary Trees, Triangulations of Convex Polygons, and Paired Lattice Paths

Beam, KristyWake Forest University2009

… combinatorially as the weighted sums of Dyck paths. A Dyck path is a lattice path in the xy-plane which begins at the origin and ends at the point (n,n) by way of moving a distance of one incrementally by either moving one unit to the right or one unit up, while staying below the diagonal line …

wfu Repository record for Investigating the Symmetry of the q,t-Catalan Polynomials Using New Statistics on Plane Binary Trees, Triangulations of Convex Polygons, and Paired Lattice Paths (opens in a new tab)

Classification and enumeration of special classes of posets and polytopes

Bidkhori, HodaMassachusetts Institute of Technology2010

… work of R. Stanley about recognizing the boolean lattice by looking at smaller intervals. In the second topic concerns lattice path matroid polytopes. The theory of matroid polytopes has gained prominence due to its applications in algebraic geometry, combinatorial optimization, Coxeter group …

mit Repository record for Classification and enumeration of special classes of posets and polytopes (opens in a new tab)

Algorithms & experiments for the protein chain lattice fitting problem

Thomas, Dallas, University of Lethbridge. Faculty of Arts and Science2006

lethbridge