3 search results - page 1 / 1 » Proof of the oval conjecture for planar partition functions |
EJC
2007
15 years 28 days 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
15 years 24 days 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
15 years 26 days 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. ...