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- W2057339924 abstract "A new backtracking algorithm is developed for generating classes of permutations, that are invariant under the group<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E1><mml:mrow><mml:msub><mml:mi>G</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>of rigid motions of the square generated by reflections about the horizontal and vertical axes. Special cases give a new algorithm for generating solutions of the classical<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E2><mml:mi>n</mml:mi></mml:math>-queens problem, as well as a new algorithm for generating Costas sequences, which are used in encoding radar and sonar signals. Parallel implementations of this latter algorithm have yielded new Costas sequences for length<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E3><mml:mi>n</mml:mi></mml:math>,<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=E4><mml:mrow><mml:mn>19</mml:mn><mml:mo>≤</mml:mo><mml:mi>n</mml:mi><mml:mo>≤</mml:mo><mml:mn>24</mml:mn></mml:mrow></mml:math>." @default.
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- W2057339924 date "2002-01-01" @default.
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- W2057339924 title "Faster backtracking algorithms for the generation of symmetry-invariant permutations" @default.
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