Title
Periodicity vectors for labelled trees
Abstract
The concept of a periodicity vector is introduced in the context of labelled trees, and some new periodicity theorems are obtained. These results constitute generalizations of the classical periodicity theorem of Fine and Wilf for words. The concept of a tree congruence is also generalized and the isomorphism between the lattice of tree congruences and the lattice of unlabelled trees (prefix codes) is established.
Year
DOI
Venue
2003
10.1016/S0166-218X(02)00248-2
Discrete Applied Mathematics
Keywords
Field
DocType
68q45,classical periodicity theorem,labelled tree,05c05,tree congruence,periodicity vector,prefix code,periodicity,unlabelled tree,new periodicity theorem,formal languages,formal language
Graph theory,Discrete mathematics,Combinatorics,Tree (graph theory),Generalization,Monoid,Isomorphism,Congruence relation,Congruence (geometry),Prefix code,Mathematics
Journal
Volume
Issue
ISSN
126
2-3
Discrete Applied Mathematics
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Antonio Restivo1697107.05
Pedro V. Silva214129.42