Labeling schemes for dynamic tree networks

Amos Korman, David Peleg, Yoav Rodeh

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations


The paper concerns distributed distance labeling schemes on dynamic trees. The paper first presents a labeling scheme for distances in the dynamic tree model, with amortized message complexity O(log2 n) per operation, where n is the size of the tree at the time the operation takes place. The protocol maintains O(log2 n) bit labels, where n is the current tree size. This label size is known to be optimal even in the static scenario. A more general labeling scheme is then introduced for the dynamic tree model, based on extending an existing static tree labeling scheme to the dynamic setting. The approach fits a number of natural tree functions, such as distance, separation level and flow. The main resulting scheme incurs an overhead of a O(log n) multiplicative factor in both the label size and amortized message complexity in the case of dynamically growing trees (with no vertex deletions). In the fully-dynamic model the scheme incurs also an increased additive overhead in amortized communication, of O(log2 n) messages per operation.

Original languageEnglish
Title of host publicationSTACS 2002 - 19th Annual Symposium on Theoretical Aspects of Computer Science, Proceedings
EditorsHelmut Alt, Afonso Ferreira
PublisherSpringer Verlag
Number of pages12
ISBN (Electronic)9783540432838
StatePublished - 2002
Externally publishedYes
Event19th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2002 - Antibes - Juan les Pins, France
Duration: 14 Mar 200216 Mar 2002

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Conference19th Annual Symposium on Theoretical Aspects of Computer Science, STACS 2002
CityAntibes - Juan les Pins

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 2002.


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