3 search results - page 1 / 1 » Proof of the oval conjecture for planar partition functions |
EJC
2007
13 years 4 months ago
2007
We prove that the translation plane and the shift plane defined by a planar partition function form an oval pair of projective planes in the sense that the planes share a line pe...
COMBINATORICS
2002
13 years 4 months ago
2002
We consider Kasteleyn and Kasteleyn-Percus matrices, which arise in enumerating matchings of planar graphs, up to matrix operations on their rows and columns. If such a matrix is ...
JCT
2007
13 years 4 months ago
2007
We enumerate lattice paths in the planar integer lattice consisting of positively directed unit vertical and horizontal steps with respect to a specific elliptic weight function. ...