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86
Voted
APAL
1998
88views more  APAL 1998»
14 years 12 months ago
The Dense Simple Sets are Orbit Complete with Respect to the Simple Sets
We prove conjectures of Herrmann and Stob by showing that the dense simple sets are orbit complete w.r.t. the simple sets.
Peter Cholak
100
Voted
COMBINATORICS
2000
89views more  COMBINATORICS 2000»
15 years 2 days ago
Large Dihedral Symmetry of the Set of Alternating Sign Matrices
We prove a conjecture of Cohn and Propp, which refines a conjecture of Bosley and Fidkowski about the symmetry of the set of alternating sign matrices (ASMs). We examine data aris...
Benjamin Wieland
91
Voted
COMBINATORICS
2004
103views more  COMBINATORICS 2004»
15 years 3 days ago
On the Counting of Fully Packed Loop Configurations: Some New Conjectures
New conjectures are proposed on the numbers of FPL configurations pertaining to certain types of link patterns. Making use of the Razumov and Stroganov Ansatz, these conjectures a...
Jean-Bernard Zuber
72
Voted
EJC
2010
15 years 10 days ago
Links in edge-colored graphs
A graph is k-linked (k-edge-linked), k 1, if for each k pairs of vertices x1, y1,
J. M. Becu, M. Dah, Yannis Manoussakis, G. Mendy
99
Voted
ARSCOM
2008
118views more  ARSCOM 2008»
15 years 12 days ago
Proper Partitions of a Polygon and k-Catalan Numbers
Let P be a polygon whose vertices have been colored (labeled) cyclically with the numbers 1, 2, . . . , c. Motivated by conjectures of Propp, we are led to consider partitions of ...
Bruce E. Sagan
111
Voted
ECAI
2004
Springer
15 years 4 months ago
Lakatos-Style Automated Theorem Modification
We describe a flexible approach to automated reasoning, where non-theorems can be automatically altered to produce proved results which are related to the original. This is achieve...
Simon Colton, Alison Pease