Faster backtracking algorithms for the generation of symmetry‐invariantpermutations
Copyright policy )Faster backtracking algorithms for the generation of symmetry‐invariantpermutations
A new backtracking algorithm is developed for generating classes of permutations, that are invariant under the group G4 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 n‐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 n, 19 ≤ n ≤ 24.
- King’s University United States
- City University of New York United States
- The Graduate Center, CUNY United States
- University of Puerto Rico System United States
permutations, Costas sequences, Shift register sequences and sequences over finite alphabets in information and communication theory, backtracking algorithm, parallel algorithms, 68W10, \(n\)-queens problem, Enumeration in graph theory, 94A55, QA1-939, 05C30, Parallel algorithms in computer science, Mathematics
permutations, Costas sequences, Shift register sequences and sequences over finite alphabets in information and communication theory, backtracking algorithm, parallel algorithms, 68W10, \(n\)-queens problem, Enumeration in graph theory, 94A55, QA1-939, 05C30, Parallel algorithms in computer science, Mathematics
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