Faster backtracking algorithms for the generation of symmetry-invariant permutations
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-queen...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X02203022 |
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| _version_ | 1832560452506222592 |
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| author | Oscar Moreno John Ramírez Dorothy Bollman Edusmildo Orozco |
| author_facet | Oscar Moreno John Ramírez Dorothy Bollman Edusmildo Orozco |
| author_sort | Oscar Moreno |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c463c689bdfa4db0a3127eb7d5dfd182 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-c463c689bdfa4db0a3127eb7d5dfd1822025-02-03T01:27:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422002-01-012627728710.1155/S1110757X02203022Faster backtracking algorithms for the generation of symmetry-invariant permutationsOscar Moreno0John Ramírez1Dorothy Bollman2Edusmildo Orozco3Department of Mathematics and Computer Science, University of Puerto Rico, Rio Piedras, PR 00931-3355, USAThe Graduate School and University Center, The City University of New York, 365 Fifth Avenue, New York, NY 10016-4309, USADepartment of Mathematics, University of Puerto Rico, Mayaguez, PR 00681-9018, USADepartment of Mathematics, University of Puerto Rico, Mayaguez, PR 00681-9018, USAA 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.http://dx.doi.org/10.1155/S1110757X02203022 |
| spellingShingle | Oscar Moreno John Ramírez Dorothy Bollman Edusmildo Orozco Faster backtracking algorithms for the generation of symmetry-invariant permutations Journal of Applied Mathematics |
| title | Faster backtracking algorithms for the generation of symmetry-invariant
permutations |
| title_full | Faster backtracking algorithms for the generation of symmetry-invariant
permutations |
| title_fullStr | Faster backtracking algorithms for the generation of symmetry-invariant
permutations |
| title_full_unstemmed | Faster backtracking algorithms for the generation of symmetry-invariant
permutations |
| title_short | Faster backtracking algorithms for the generation of symmetry-invariant
permutations |
| title_sort | faster backtracking algorithms for the generation of symmetry invariant permutations |
| url | http://dx.doi.org/10.1155/S1110757X02203022 |
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