| Issue |
RAIRO-Theor. Inf. Appl.
Volume 35, Number 6, November/December 2001
A tribute to Aldo de Luca
|
|
|---|---|---|
| Page(s) | 551 - 564 | |
| DOI | https://doi.org/10.1051/ita:2001131 | |
| Published online | 15 July 2002 | |
A sharpening of the Parikh mapping
1
Faculty of Mathematics, University of Bucharest,
Academiei 14, Bucharest, Romania; (alexmate@pcnet.pcnet.ro)
2
Turku Centre for Computer Science,
Lemminkäisenkatu 14, 20520 Turku, Finland; (asalomaa@utu.fi)
3
Department of Computing and Information Science,
Queen's University, Kingston, Ontario K7L 3N6, Canada; (ksalomaa@cs.queensu.ca)
4
Department of Computer Science,
University of Western Ontario,
London, Ontario N6A 5B7, Canada; (syu@csd.uwo.ca)
Received:
6
February
2001
Revised:
20
December
2001
In this paper we introduce a sharpening of the Parikh mapping and investigate its basic properties. The new mapping is based on square matrices of a certain form. The classical Parikh vector appears in such a matrix as the second diagonal. However, the matrix product gives more information about a word than the Parikh vector. We characterize the matrix products and establish also an interesting interconnection between mirror images of words and inverses of .
Mathematics Subject Classification: 68Q45 / 68Q70
Key words: Formal languages / Parikh mapping / scattered subwords.
© EDP Sciences, 2001
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.