71 search results - page 2 / 15 » Coxeter Lattice Paths |
JCT
2011
13 years 18 days ago
2011
Our recent paper [5] provides extensions to two classical determinantal results of Bressoud and Wei, and of Koike. The proofs in that paper were algebraic. The present paper conta...
ORDER
2002
13 years 5 months ago
2002
We determine the order dimension of the strong Bruhat order on finite Coxeter groups of types A, B and H. The order dimension is determined using a generalization of a theorem of D...
DCG
2007
13 years 5 months ago
2007
Abstract. We describe many different realizations with integer coordinates for the associahedron (i.e. the Stasheff polytope) and for the cyclohedron (i.e. the Bott-Taubes polyto...
JCT
2007
13 years 5 months ago
2007
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
COMBINATORICS
2000
13 years 5 months ago
2000
Let d(n) count the lattice paths from (0, 0) to (n, n) using the steps (0,1), (1,0), and (1,1). Let e(n) count the lattice paths from (0, 0) to (n, n) with permitted steps from th...