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| Presentation | 2017-05-13 15:50 On Equivalence of de Bruijn Graphs and State-minimized Finite Automata Yoshiaki Takahashi (Solar), Akira Ito (Yamaguchi Univ.)  COMP2017-11 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | A de Bruijn sequence of order n on the alphabet {0,1} is a cyclic sequence in which every possible string of length n over {0,1} occurs exactly once. In order to enumerate all possible de Bruijn sequences, de Bruijn graphs were introduced. This study investigates the relationship between de Bruijn graphs and finite automata and proves the structural equality of de Bruijn graph of order n and the state transition diagram for minimum state deterministic finite automaton which accepts regular language (0+1)^*1(0+1)^(n-1) . We also point out that a certain modification of the definition of state equivalence is needed to extend this result to k-ary de Bruijn graphs. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | de Bruijn sequence / de Bruijn graphs / finite automata / state-minimization / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 117, no. 28, COMP2017-11, pp. 77-83, May 2017. | |
| Paper # | COMP2017-11 | |
| Date of Issue | 2017-05-05 (COMP) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | COMP2017-11 |
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| Conference Information | |
| Committee | COMP IPSJ-AL |
| Conference Date | 2017-05-12 - 2017-05-13 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2017-05-COMP-AL |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | On Equivalence of de Bruijn Graphs and State-minimized Finite Automata |
| Sub Title (in English) | |
| Keyword(1) | de Bruijn sequence |
| Keyword(2) | de Bruijn graphs |
| Keyword(3) | finite automata |
| Keyword(4) | state-minimization |
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| 1st Author's Name | Yoshiaki Takahashi |
| 1st Author's Affiliation | Hofu Science Museum (Solar) |
| 2nd Author's Name | Akira Ito |
| 2nd Author's Affiliation | Yamaguchi University (Yamaguchi Univ.) |
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| Speaker | Author-1 |
| Date Time | 2017-05-13 15:50:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2017-11 |
| Volume (vol) | vol.117 |
| Number (no) | no.28 |
| Page | pp.77-83 |
| #Pages | 7 |
| Date of Issue | 2017-05-05 (COMP) |
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