## Abstract In this paper, we generalize the usual notions of waves, fronts, and propagation speeds in a very general setting. These new notions, which cover all usual situations, involve uniform limits, with respect to the geodesic distance, to a family of hypersurfaces that are parametrized by ti
Generalized factorizations of words and their algorithmic properties
✍ Scribed by Juhani Karhumäki; Wojciech Plandowski; Wojciech Rytter
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 837 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
✦ Synopsis
We formalize the notion of a factorization of a word, a so-called S-factorization, introduced in [7] when solving some open problems on word equations. We show that most of the factorizations considered in the literature fit well into that framework, and in particular that central algorithmic problems, such as the uniqueness or the synchronizability, remain polynomial time solvable for an important and large class of Sfactorizations, namely for regular F-factorizations.
📜 SIMILAR VOLUMES
For a positive integer d, the usual d-dimensional cube Q d is defined to be the graph (K 2 ) d , the Cartesian product of d copies of K 2 . We define the generalized cube Q(K k , d) to be the graph (K k ) d for positive integers d and k. We investigate the decomposition of the complete multipartite