Paper Abstract and Keywords |
Presentation |
2013-04-24 11:10
Analysis of the Maximum Sum of Exponents of Runs in Strings Kazuhiko Kusano, Ryosuke Okuta, Kazuyuki Narisawa, Ayumi Shinohara (Tohoku Univ.) COMP2013-3 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
A run in a string is a periodic substring which can not be extendable neither to the left nor right with the same period.
In this paper, we focus on the sum of exponents of runs.
We compute exact values of the maximum sum $sigma_2(n)$ of exponents of runs in a binary string of length $n$, up to $n=57$, by an efficient pruning algorithm.
The current best lower bound for the maximum sum $sigma(n)$ of exponents in a string of length $n$ is $2.03525n$.
We show a new lower bound $2.03696n$, which is discovered by exhaustively searching morphisms generating strings. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Runs / Repetitions in strings / Exponents of repetitions / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 113, no. 14, COMP2013-3, pp. 17-24, April 2013. |
Paper # |
COMP2013-3 |
Date of Issue |
2013-04-17 (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 |
COMP2013-3 |
Conference Information |
Committee |
COMP |
Conference Date |
2013-04-24 - 2013-04-24 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kobe University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
|
Paper Information |
Registration To |
COMP |
Conference Code |
2013-04-COMP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Analysis of the Maximum Sum of Exponents of Runs in Strings |
Sub Title (in English) |
* |
Keyword(1) |
Runs |
Keyword(2) |
Repetitions in strings |
Keyword(3) |
Exponents of repetitions |
Keyword(4) |
|
Keyword(5) |
|
Keyword(6) |
|
Keyword(7) |
|
Keyword(8) |
|
1st Author's Name |
Kazuhiko Kusano |
1st Author's Affiliation |
Tohoku University (Tohoku Univ.) |
2nd Author's Name |
Ryosuke Okuta |
2nd Author's Affiliation |
Tohoku University (Tohoku Univ.) |
3rd Author's Name |
Kazuyuki Narisawa |
3rd Author's Affiliation |
Tohoku University (Tohoku Univ.) |
4th Author's Name |
Ayumi Shinohara |
4th Author's Affiliation |
Tohoku University (Tohoku Univ.) |
5th Author's Name |
|
5th Author's Affiliation |
() |
6th Author's Name |
|
6th Author's Affiliation |
() |
7th Author's Name |
|
7th Author's Affiliation |
() |
8th Author's Name |
|
8th Author's Affiliation |
() |
9th Author's Name |
|
9th Author's Affiliation |
() |
10th Author's Name |
|
10th Author's Affiliation |
() |
11th Author's Name |
|
11th Author's Affiliation |
() |
12th Author's Name |
|
12th Author's Affiliation |
() |
13th Author's Name |
|
13th Author's Affiliation |
() |
14th Author's Name |
|
14th Author's Affiliation |
() |
15th Author's Name |
|
15th Author's Affiliation |
() |
16th Author's Name |
|
16th Author's Affiliation |
() |
17th Author's Name |
|
17th Author's Affiliation |
() |
18th Author's Name |
|
18th Author's Affiliation |
() |
19th Author's Name |
|
19th Author's Affiliation |
() |
20th Author's Name |
|
20th Author's Affiliation |
() |
Speaker |
Author-2 |
Date Time |
2013-04-24 11:10:00 |
Presentation Time |
35 minutes |
Registration for |
COMP |
Paper # |
COMP2013-3 |
Volume (vol) |
vol.113 |
Number (no) |
no.14 |
Page |
pp.17-24 |
#Pages |
8 |
Date of Issue |
2013-04-17 (COMP) |
|