6533b7d4fe1ef96bd1261eed

RESEARCH PRODUCT

On Combinatorial Generation of Prefix Normal Words

P��ter BurcsiGabriele FiciZsuzsanna Lipt��kFrank RuskeyJoe Sawada

subject

FOS: Computer and information sciencesDiscrete Mathematics (cs.DM)Computer Science - Data Structures and AlgorithmsData Structures and Algorithms (cs.DS)Data_CODINGANDINFORMATIONTHEORYComputer Science - Discrete Mathematics

description

A prefix normal word is a binary word with the property that no substring has more 1s than the prefix of the same length. This class of words is important in the context of binary jumbled pattern matching. In this paper we present an efficient algorithm for exhaustively listing the prefix normal words with a fixed length. The algorithm is based on the fact that the language of prefix normal words is a bubble language, a class of binary languages with the property that, for any word w in the language, exchanging the first occurrence of 01 by 10 in w results in another word in the language. We prove that each prefix normal word is produced in O(n) amortized time, and conjecture, based on experimental evidence, that the true amortized running time is O(polylog(n)).

yearjournalcountryeditionlanguage
2014-01-24
10.1007/978-3-319-07566-2_7http://arxiv.org/abs/1401.6346