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» On the Injectivity of the Parikh Matrix Mapping
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FUIN
2002
87views more  FUIN 2002»
8 years 9 months ago
On the Injectivity of the Parikh Matrix Mapping
In this paper we investigate the injectivity of the Parikh matrix mapping. This research is done mainly on the binary alphabet. We identify a family of binary words, refered to as...
Adrian Atanasiu, Carlos Martín-Vide, Alexan...
FUIN
2006
64views more  FUIN 2006»
8 years 9 months ago
Injectivity of the Parikh Matrix Mappings Revisited
We deal with the notion of M-unambiguity [5] in connection with the Parikh matrix mapping introduced by Mateescu and others in [7]. M-unambiguity is studied both in terms of words ...
Virgil Nicolae Serbanuta, Traian-Florin Serbanuta
TCS
2008
8 years 9 months ago
Parikh matrices and amiable words
Using the fact that the Parikh matrix mapping is not an injective mapping, the paper investigates some properties of the set of words with the same Parikh matrix; these words are ...
Adrian Atanasiu, Radu Atanasiu, Ion Petre
IFIP
2004
Springer
9 years 2 months ago
A Matrix q-Analogue of the Parikh Map
We introduce an extension of the Parikh mapping called the Parikh ยข -matrix mapping, which takes its values in matrices with polynomial entries. The morphism constructed represent...
Ömer Egecioglu, Oscar H. Ibarra
CORR
2011
Springer
174views Education» more  CORR 2011»
8 years 4 months ago
Left invertibility of discrete-time output-quantized systems: the linear case with finite inputs
This paper studies left invertibility of discrete-time linear output-quantized systems. Quantized outputs are generated according to a given partition of the state-space, while inp...
Nevio Dubbini, Benedetto Piccoli, Antonio Bicchi
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