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COMBINATORICS
2006
115views more  COMBINATORICS 2006»
13 years 7 months ago
Chains, Subwords, and Fillings: Strong Equivalence of Three Definitions of the Bruhat Order
Let Sn be the group of permutations of [n] = {1, . . . , n}. The Bruhat order on Sn is a partial order relation, for which there are several equivalent definitions. Three well-kno...
Catalin Zara
AAECC
2009
Springer
136views Algorithms» more  AAECC 2009»
14 years 2 months ago
There Are Not Non-obvious Cyclic Affine-invariant Codes
We show that an affine-invariant code C of length pm is not permutation equivalent to a cyclic code except in the obvious cases: m = 1 or C is either {0}, the repetition code or it...
José Joaquín Bernal, Ángel de...
AB
2007
Springer
13 years 11 months ago
Prefix Reversals on Binary and Ternary Strings
Given a permutation , the application of prefix reversal f(i) to reverses the order of the first i elements of . The problem of Sorting By Prefix Reversals (also known as pancake ...
Cor A. J. Hurkens, Leo van Iersel, Judith Keijsper...
COCOA
2008
Springer
13 years 8 months ago
Automatic Generation of Symmetry-Breaking Constraints
Solution symmetries in integer linear programs often yield long Branch-and-Bound based solution processes. We propose a method for finding elements of the permutation group of sol...
Leo Liberti
COMBINATORICS
2000
96views more  COMBINATORICS 2000»
13 years 7 months ago
Automorphisms and Enumeration of Switching Classes of Tournaments
Two tournaments T1 and T2 on the same vertex set X are said to be switching equivalent if X has a subset Y such that T2 arises from T1 by switching all arcs between Y and its comp...
László Babai, Peter J. Cameron