6533b86dfe1ef96bd12c9554
RESEARCH PRODUCT
Periodicity vectors for labelled trees
Antonio RestivoPedro V. Silvasubject
Discrete mathematicsMonoidPrefix codePeriodicityApplied MathematicsContext (language use)Congruence relationTree (graph theory)CombinatoricsFormal languagesLattice (music)Labelled treeCongruence (manifolds)Periodicity vectorDiscrete Mathematics and CombinatoricsIsomorphismMathematicsdescription
AbstractThe 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 | journal | country | edition | language |
|---|---|---|---|---|
| 2003-03-01 | Discrete Applied Mathematics |