The Number of Runs in a Ternary Word

It is not known that the maximum number of runs in a word of length n is attained by a binary word though it seems likely that this is the case. In this note, we report observations on runs in ternary words, in which every small factor contains all three letters.

Bibliographic Details
Main Authors: Bannai, H., Griand, M., Kusano, K., Matsubara, W., Shinohara, A., Simpson, Jamie
Other Authors: Jan Holub
Format: Conference Paper
Published: Czech Technical University 2010
Online Access:http://hdl.handle.net/20.500.11937/4556
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author Bannai, H.
Griand, M.
Kusano, K.
Matsubara, W.
Shinohara, A.
Simpson, Jamie
author2 Jan Holub
author_facet Jan Holub
Bannai, H.
Griand, M.
Kusano, K.
Matsubara, W.
Shinohara, A.
Simpson, Jamie
author_sort Bannai, H.
building Curtin Institutional Repository
collection Online Access
description It is not known that the maximum number of runs in a word of length n is attained by a binary word though it seems likely that this is the case. In this note, we report observations on runs in ternary words, in which every small factor contains all three letters.
first_indexed 2025-11-14T06:03:14Z
format Conference Paper
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institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T06:03:14Z
publishDate 2010
publisher Czech Technical University
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-45562022-12-09T07:12:35Z The Number of Runs in a Ternary Word Bannai, H. Griand, M. Kusano, K. Matsubara, W. Shinohara, A. Simpson, Jamie Jan Holub Jan Zd'arek It is not known that the maximum number of runs in a word of length n is attained by a binary word though it seems likely that this is the case. In this note, we report observations on runs in ternary words, in which every small factor contains all three letters. 2010 Conference Paper http://hdl.handle.net/20.500.11937/4556 Czech Technical University fulltext
spellingShingle Bannai, H.
Griand, M.
Kusano, K.
Matsubara, W.
Shinohara, A.
Simpson, Jamie
The Number of Runs in a Ternary Word
title The Number of Runs in a Ternary Word
title_full The Number of Runs in a Ternary Word
title_fullStr The Number of Runs in a Ternary Word
title_full_unstemmed The Number of Runs in a Ternary Word
title_short The Number of Runs in a Ternary Word
title_sort number of runs in a ternary word
url http://hdl.handle.net/20.500.11937/4556