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| searching for doubly self-orthogonal latin squares | |
| Lu Runming; Liu Sheng; Zhang Jian | |
| 2011 | |
| Conference Name | 17th International Conference on Principles and Practice of Constraint Programming, CP 2011 |
| Source | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
| Pages | 538-545 |
| Conference Date | September |
| Conference Place | Perugia, Italy |
| Indexed Type | EI |
| Publish Place | Germany |
| ISSN | 3029743 |
| ISBN | 9783642237850 |
| Department | (1) State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, China; (2) Graduate University, Chinese Academy of Sciences, China |
| English Abstract | A Doubly Self Orthogonal Latin Square (DSOLS) is a Latin square which is orthogonal to its transpose to the diagonal and its transpose to the back diagonal. It is challenging to find a non-trivial DSOLS. For the orders n = 2 (mod 4), the existence of DSOLS(n) is unknown except for n = 2, 6. We propose an efficient approach and data structure based on a set system and exact cover, with which we obtained a new result, i.e., the non-existence of DSOLS(10). © 2011 Springer-Verlag. |
| Keyword | Constraint Theory Data Structures |
| Sponsorship | Agreement Technologies (COST Action IC0801); Artificial Intelligence Journal; Association for Constraint Programming (ACP); Associazione Italiana per l'Intelligenza Artificiale (AI*IA); Comune di Assisi |
| Content Type | 会议论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/14235 |
| Collection | 基础软件与系统重点实验室 |
| Recommended Citation GB/T 7714 | Lu Runming,Liu Sheng,Zhang Jian. searching for doubly self-orthogonal latin squares[C]. Germany,2011:538-545. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| searching for doubly（245KB） | 开放获取 | -- | Application Full Text | |||
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