173 search results - page 2 / 35 » A Proof of the Two-path Conjecture |
DM
2002
13 years 4 months ago
2002
We present here a proof that a certain rational function Cn(q, t) which has come to be known as the "q, t-Catalan" is in fact a polynomial with positive integer coeffici...
EJC
2010
13 years 3 months ago
2010
The Rogers-Ramanujan Identities have many natural and significant generalizations. The generalization presented in this note was first studied by D. Bressoud, by considering the...
COMBINATORICS
2006
13 years 5 months ago
2006
We prove the Razumov
TMI
2002
13 years 4 months ago
2002
The human cerebral cortex is topologically equivalent to a sphere when it is viewed as closed at the brain stem. Due to noise and/or resolution issues, magnetic resonance imaging m...
STOC
2003
ACM
14 years 5 months ago
2003
ACM
A d-regular graph has largest or first (adjacency matrix) eigenvalue 1 = d. In this paper we show the following conjecture of Alon. Fix an integer d > 2 and a real > 0. Then...