Title
On the lattice of prefix codes
Abstract
The natural correspondence between prefix codes and trees is explored, generalizing the results obtained in Giammarresi et al. (Theoret. Comput. Sci. 205 (1998) 1459) for the lattice of finite trees under division and the lattice of finite maximal prefix codes. Joins and meets of prefix codes are studied in this light in connection with such concepts as finiteness, maximality and varieties of rational languages. Decidability results are obtained for several problems involving rational prefix codes, including the solution to the primeness problem.
Year
DOI
Venue
2002
10.1016/S0304-3975(01)00391-7
Theor. Comput. Sci.
Keywords
Field
DocType
68Q45,natural correspondence,finite maximal prefix code,Decidability result,rational language,prefix code,rational prefix code,05C05,primeness problem,finite tree
Discrete mathematics,Combinatorics,Lattice (order),Finite tree,Generalization,Prefix,Mathematics
Journal
Volume
Issue
ISSN
289
1
Theoretical Computer Science
Citations 
PageRank 
References 
3
0.48
2
Authors
2
Name
Order
Citations
PageRank
Antonio Restivo1697107.05
Pedro V. Silva214129.42