An efficient shift rule for the prefer-max De Bruijn sequence

Gal Amram; Yair Ashlagi; Amir Rubin; Yotam Svoray; Moshe Schwartz; Gera Weiss

doi:10.1016/j.disc.2018.09.024

An efficient shift rule for the prefer-max De Bruijn sequence

Gal Amram, Yair Ashlagi, Amir Rubin, Yotam Svoray, Moshe Schwartz, Gera Weiss

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

A shift rule for the prefer-max De Bruijn sequence is formulated, for all sequence orders, and over any finite alphabet. An efficient algorithm for this shift rule is presented, which has linear (in the sequence order) time and memory complexity.

Original language	English
Pages (from-to)	226-232
Number of pages	7
Journal	Discrete Mathematics
Volume	342
Issue number	1
DOIs	https://doi.org/10.1016/j.disc.2018.09.024
State	Published - 1 Jan 2019

Keywords

De Bruijn sequence
Ford sequence
Prefer-max sequence
Shift rule

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2018.09.024

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title = "An efficient shift rule for the prefer-max De Bruijn sequence",

abstract = "A shift rule for the prefer-max De Bruijn sequence is formulated, for all sequence orders, and over any finite alphabet. An efficient algorithm for this shift rule is presented, which has linear (in the sequence order) time and memory complexity.",

keywords = "De Bruijn sequence, Ford sequence, Prefer-max sequence, Shift rule",

author = "Gal Amram and Yair Ashlagi and Amir Rubin and Yotam Svoray and Moshe Schwartz and Gera Weiss",

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AU - Amram, Gal

AU - Ashlagi, Yair

AU - Rubin, Amir

AU - Svoray, Yotam

AU - Schwartz, Moshe

AU - Weiss, Gera

PY - 2019/1/1

Y1 - 2019/1/1

N2 - A shift rule for the prefer-max De Bruijn sequence is formulated, for all sequence orders, and over any finite alphabet. An efficient algorithm for this shift rule is presented, which has linear (in the sequence order) time and memory complexity.

AB - A shift rule for the prefer-max De Bruijn sequence is formulated, for all sequence orders, and over any finite alphabet. An efficient algorithm for this shift rule is presented, which has linear (in the sequence order) time and memory complexity.

KW - De Bruijn sequence

KW - Ford sequence

KW - Prefer-max sequence

KW - Shift rule

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U2 - 10.1016/j.disc.2018.09.024

DO - 10.1016/j.disc.2018.09.024

M3 - Article

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JO - Discrete Mathematics

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An efficient shift rule for the prefer-max De Bruijn sequence

Abstract

Keywords

ASJC Scopus subject areas

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