English

Super-d-complexity of finite words

Discrete Mathematics 2011-04-25 v1

Abstract

In this paper we introduce and study a new complexity measure for finite words. For positive integer dd special scattered subwords, called super-dd-subwords, in which the gaps are of length at least (d1)(d-1), are defined. We give methods to compute super-dd-complexity (the total number of different super-dd-subwords) in the case of rainbow words (with pairwise different letters) by recursive algorithms, by mahematical formulas and by graph algorithms. In the case of general words, with letters from a given alphabet without any restriction, the problem of the maximum value of the super-dd-complexity of all words of length nn is presented.

Keywords

Cite

@article{arxiv.1104.4424,
  title  = {Super-d-complexity of finite words},
  author = {Zoltán Kása},
  journal= {arXiv preprint arXiv:1104.4424},
  year   = {2011}
}
R2 v1 2026-06-21T17:57:43.335Z