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COMBINATORICS
2006
103views more  COMBINATORICS 2006»
15 years 6 months ago
A Note on Domino Shuffling
We present a variation of James Propp's generalized domino shuffling, which provides an efficient way to obtain perfect matchings of weighted Aztec diamonds. Our modification...
É. Janvresse, T. de la Rue, Y. Velenik
COMBINATORICS
2006
107views more  COMBINATORICS 2006»
15 years 6 months ago
On the Symmetry of the Distribution of k-Crossings and k-Nestings in Graphs
This note contains two results on the distribution of k-crossings and k-nestings in graphs. On the positive side, we exhibit a class of graphs for which there are as many k-noncro...
Anna de Mier
COMBINATORICS
2006
137views more  COMBINATORICS 2006»
15 years 6 months ago
Three-Letter-Pattern-Avoiding Permutations and Functional Equations
We present an algorithm for finding a system of recurrence relations for the number of permutations of length n that satisfy a certain set of conditions. A rewriting of these rela...
Ghassan Firro, Toufik Mansour
FSS
2006
87views more  FSS 2006»
15 years 6 months ago
Spline interpolation between hyperspaces of convex or fuzzy sets
We consider the interpolation problem for functions whose range and whose domain both consist of convex or fuzzy subsets of a real Euclidean space. This problem arises in fuzzy co...
Thomas Vetterlein
FUIN
2006
95views more  FUIN 2006»
15 years 6 months ago
Bounds for Validation
In this paper we derive the bounds for Validation (known also as Hold-Out Estimate and Train-and-Test Method). We present the best possible bound in the case of 0-1 valued loss fun...
Wojciech Jaworski