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» On the combinatorics of Galois numbers
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COMBINATORICS
2006
133views more  COMBINATORICS 2006»
14 years 12 months ago
Completion of the Wilf-Classification of 3-5 Pairs Using Generating Trees
A permutation is said to avoid the permutation if no subsequence in has the same order relations as . Two sets of permutations 1 and 2 are Wilfequivalent if, for all n, the numb...
Mark Lipson
COMBINATORICS
2006
112views more  COMBINATORICS 2006»
14 years 12 months ago
Shift-Induced Dynamical Systems on Partitions and Compositions
The rules of "Bulgarian solitaire" are considered as an operation on the set of partitions to induce a finite dynamical system. We focus on partitions with no preimage u...
Brian Hopkins, Michael A. Jones
COMBINATORICS
2007
88views more  COMBINATORICS 2007»
14 years 11 months ago
Maximum Matchings in Regular Graphs of High Girth
Let G = (V, E) be any d-regular graph with girth g on n vertices, for d ≥ 3. This note shows that G has a maximum matching which includes all but an exponentially small fraction...
Abraham D. Flaxman, Shlomo Hoory
ICA
2007
Springer
15 years 6 months ago
ICA in Boolean XOR Mixtures
We consider Independent Component Analysis (ICA) for the case of binary sources, where addition has the meaning of the boolean “Exclusive Or” (XOR) operation. Thus, each mixtur...
Arie Yeredor
SAT
2010
Springer
141views Hardware» more  SAT 2010»
15 years 3 months ago
Synthesizing Shortest Linear Straight-Line Programs over GF(2) Using SAT
Non-trivial linear straight-line programs over the Galois field of two elements occur frequently in applications such as encryption or high-performance computing. Finding the shor...
Carsten Fuhs, Peter Schneider-Kamp