A simple and optimal ancestry labeling scheme for trees

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Standard

A simple and optimal ancestry labeling scheme for trees. / Dahlgaard, Søren; Knudsen, Mathias Bæk Tejs; Rotbart, Noy Galil.

Automata, languages, and programming: 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015, Proceedings, Part II. ed. / Magnús M. Halldórsson; Kazuo Iwama; Naoki Kobayashi; Bettina Speckmann. Springer, 2015. p. 564-574 (Lecture notes in computer science, Vol. 9135).

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

Harvard

Dahlgaard, S, Knudsen, MBT & Rotbart, NG 2015, A simple and optimal ancestry labeling scheme for trees. in MM Halldórsson, K Iwama, N Kobayashi & B Speckmann (eds), Automata, languages, and programming: 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015, Proceedings, Part II. Springer, Lecture notes in computer science, vol. 9135, pp. 564-574, International Colloquium on Automata, Languages and Programming 2015, Kyoto, Japan, 06/07/2015. https://doi.org/10.1007/978-3-662-47666-6_45

APA

Dahlgaard, S., Knudsen, M. B. T., & Rotbart, N. G. (2015). A simple and optimal ancestry labeling scheme for trees. In M. M. Halldórsson, K. Iwama, N. Kobayashi, & B. Speckmann (Eds.), Automata, languages, and programming: 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015, Proceedings, Part II (pp. 564-574). Springer. Lecture notes in computer science Vol. 9135 https://doi.org/10.1007/978-3-662-47666-6_45

Vancouver

Dahlgaard S, Knudsen MBT, Rotbart NG. A simple and optimal ancestry labeling scheme for trees. In Halldórsson MM, Iwama K, Kobayashi N, Speckmann B, editors, Automata, languages, and programming: 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015, Proceedings, Part II. Springer. 2015. p. 564-574. (Lecture notes in computer science, Vol. 9135). https://doi.org/10.1007/978-3-662-47666-6_45

Author

Dahlgaard, Søren ; Knudsen, Mathias Bæk Tejs ; Rotbart, Noy Galil. / A simple and optimal ancestry labeling scheme for trees. Automata, languages, and programming: 42nd International Colloquium, ICALP 2015, Kyoto, Japan, July 6-10, 2015, Proceedings, Part II. editor / Magnús M. Halldórsson ; Kazuo Iwama ; Naoki Kobayashi ; Bettina Speckmann. Springer, 2015. pp. 564-574 (Lecture notes in computer science, Vol. 9135).

Bibtex

@inproceedings{f18b3c636ffb4264b1424c54376d7807,
title = "A simple and optimal ancestry labeling scheme for trees",
abstract = "We present a lg n + 2 lg lg n + 3 ancestry labeling scheme for trees. The problem was first presented by Kannan et al. [STOC 88{\textquoteright}] along with a simple 2 lg n solution. Motivated by applications to XML files, the label size was improved incrementally over the course of more than 20 years by a series of papers. The last, due to Fraigniaud and Korman [STOC 10{\textquoteright}], presented an asymptotically optimal lg n+4 lg lg n+ O(1) labeling scheme using non-trivial tree-decomposition techniques. By providing a framework generalizing interval based labeling schemes, we obtain a simple, yet asymptotically optimal solution to the problem. Furthermore, our labeling scheme is attained by a small modification of the original 2 lg n solution.",
author = "S{\o}ren Dahlgaard and Knudsen, {Mathias B{\ae}k Tejs} and Rotbart, {Noy Galil}",
year = "2015",
doi = "10.1007/978-3-662-47666-6_45",
language = "English",
isbn = "978-3-662-47665-9",
series = "Lecture notes in computer science",
publisher = "Springer",
pages = "564--574",
editor = "Halld{\'o}rsson, {Magn{\'u}s M.} and Kazuo Iwama and Naoki Kobayashi and Bettina Speckmann",
booktitle = "Automata, languages, and programming",
address = "Switzerland",
note = "null ; Conference date: 06-07-2015 Through 10-07-2015",

}

RIS

TY - GEN

T1 - A simple and optimal ancestry labeling scheme for trees

AU - Dahlgaard, Søren

AU - Knudsen, Mathias Bæk Tejs

AU - Rotbart, Noy Galil

N1 - Conference code: 42

PY - 2015

Y1 - 2015

N2 - We present a lg n + 2 lg lg n + 3 ancestry labeling scheme for trees. The problem was first presented by Kannan et al. [STOC 88’] along with a simple 2 lg n solution. Motivated by applications to XML files, the label size was improved incrementally over the course of more than 20 years by a series of papers. The last, due to Fraigniaud and Korman [STOC 10’], presented an asymptotically optimal lg n+4 lg lg n+ O(1) labeling scheme using non-trivial tree-decomposition techniques. By providing a framework generalizing interval based labeling schemes, we obtain a simple, yet asymptotically optimal solution to the problem. Furthermore, our labeling scheme is attained by a small modification of the original 2 lg n solution.

AB - We present a lg n + 2 lg lg n + 3 ancestry labeling scheme for trees. The problem was first presented by Kannan et al. [STOC 88’] along with a simple 2 lg n solution. Motivated by applications to XML files, the label size was improved incrementally over the course of more than 20 years by a series of papers. The last, due to Fraigniaud and Korman [STOC 10’], presented an asymptotically optimal lg n+4 lg lg n+ O(1) labeling scheme using non-trivial tree-decomposition techniques. By providing a framework generalizing interval based labeling schemes, we obtain a simple, yet asymptotically optimal solution to the problem. Furthermore, our labeling scheme is attained by a small modification of the original 2 lg n solution.

U2 - 10.1007/978-3-662-47666-6_45

DO - 10.1007/978-3-662-47666-6_45

M3 - Article in proceedings

AN - SCOPUS:84950128629

SN - 978-3-662-47665-9

T3 - Lecture notes in computer science

SP - 564

EP - 574

BT - Automata, languages, and programming

A2 - Halldórsson, Magnús M.

A2 - Iwama, Kazuo

A2 - Kobayashi, Naoki

A2 - Speckmann, Bettina

PB - Springer

Y2 - 6 July 2015 through 10 July 2015

ER -

ID: 159746595