Enumerating totally clean words

Research output: Contribution to journalArticlepeer-review

Abstract

Let A be a finite alphabet and let D be a finite set of words in A* labelled dirty. We give a recursive procedure for computing the generating function for the number of words not containing any subsequences that belong to D and having a specified number of each letter. We show that this generating function is always a rational function.

Original languageEnglish (US)
Pages (from-to)313-315
Number of pages3
JournalDiscrete Mathematics
Volume64
Issue number2-3
DOIs
StatePublished - Apr 1987
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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