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» On uniquely k-determined permutations
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DAGSTUHL
2007
13 years 6 months ago
Uniqueness of Optimal Mod 3 Circuits for Parity
In this paper, we prove that the quadratic polynomials modulo 3 with the largest correlation with parity are unique up to permutation of variables and constant factors. As a conseq...
Frederic Green, Amitabha Roy
ISSAC
1994
Springer
165views Mathematics» more  ISSAC 1994»
13 years 9 months ago
Constructing Permutation Representations for Large Matrix Groups
New techniques, both theoretical and practical, are presented for constructing a permutation representation for a matrix group. We assume that the resulting permutation degree, n,...
Gene Cooperman, Larry Finkelstein, Bryant W. York,...
CORR
2010
Springer
108views Education» more  CORR 2010»
13 years 5 months ago
Inverting a permutation is as hard as unordered search
We describe a reduction from the problem of unordered search (with a unique solution) to the problem of inverting a permutation. Since there is a straightforward reduction in the ...
Ashwin Nayak
WABI
2001
Springer
112views Bioinformatics» more  WABI 2001»
13 years 9 months ago
Finding an Optimal Inversion Median: Experimental Results
We derive a branch-and-bound algorithm to find an optimal inversion median of three signed permutations. The algorithm prunes to manageable size an extremely large search tree usi...
Adam C. Siepel, Bernard M. E. Moret
STOC
1993
ACM
109views Algorithms» more  STOC 1993»
13 years 9 months ago
Routing permutations on graphs via matchings
We consider a class of routing problems on connected graphs G. Initially, each vertex v of G is occupied by a “pebble” which has a unique destination π(v) in G (so that π is...
Noga Alon, Fan R. K. Chung, Ronald L. Graham