Reconstruction of a Word from a Finite Set of its Subwords Under the Unit Shift Hypothesis. II. Reconstruction with Forbidden Words

Verfasser / Beitragende:
[Yu. Smetanin, M. Ulyanov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Cybernetics and Systems Analysis, 51/1(2015-01-01), 157-164
Format:
Artikel (online)
ID: 605518432
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024 7 0 |a 10.1007/s10559-015-9708-y  |2 doi 
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245 0 0 |a Reconstruction of a Word from a Finite Set of its Subwords Under the Unit Shift Hypothesis. II. Reconstruction with Forbidden Words  |h [Elektronische Daten]  |c [Yu. Smetanin, M. Ulyanov] 
520 3 |a An extension of the problem of reconstruction of words from a given multiset of its subwords supposedly generated by unit shifts of a window of fixed length along such words. In the extension, feasible solutions must satisfy additional constraints. The case is considered when these constraints are specified by forbidden words. A solution to the problem is obtained as a result of searching for Euler paths or Euler cycles in a de Bruijn multidigraph with the additional operation of reduction of its edges and subsequent application of special algebraic operations of multiplication of adjacency matrices as in the first part of this article. 
540 |a Springer Science+Business Media New York, 2015 
690 7 |a reconstruction of words  |2 nationallicence 
690 7 |a forbidden word  |2 nationallicence 
690 7 |a Euler path  |2 nationallicence 
690 7 |a de Bruijn multidigraph  |2 nationallicence 
690 7 |a combinatorics of words  |2 nationallicence 
700 1 |a Smetanin  |D Yu  |u Dorodnicyn Computing Centre of RAS and Moscow Institute of Physics and Technology, Moscow, Russia  |4 aut 
700 1 |a Ulyanov  |D M.  |u National Research University "Higher School of Economics” of the Moscow State University of Printing Arts, Moscow, Russia  |4 aut 
773 0 |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/1(2015-01-01), 157-164  |x 1060-0396  |q 51:1<157  |1 2015  |2 51  |o 10559 
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950 |B NATIONALLICENCE  |P 700  |E 1-  |a Smetanin  |D Yu  |u Dorodnicyn Computing Centre of RAS and Moscow Institute of Physics and Technology, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Ulyanov  |D M.  |u National Research University "Higher School of Economics” of the Moscow State University of Printing Arts, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Cybernetics and Systems Analysis  |d Springer US; http://www.springer-ny.com  |g 51/1(2015-01-01), 157-164  |x 1060-0396  |q 51:1<157  |1 2015  |2 51  |o 10559 
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