Distance labeling schemes for well-separated graph classes

Michal Katz, Nir A. Katz, David Peleg

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

Distance labeling schemes are schemes that label the vertices of a graph with short labels in such a way that the distance between any two vertices can be inferred from inspecting their labels. It is shown in this paper that the classes of interval graphs and permutation graphs enjoy such a distance labeling scheme using O(log2 n) bit labels on n-vertex graphs. Towards establishing these results, we present a general property for graphs, called well-(α, g)-separation, and show that graph classes satisfying this property have O(g(n) log n) bit labeling schemes. In particular, interval graphs are well-(2, log n)-separated and permutation graphs are well-(6, log n)-separated.

Original languageEnglish
Pages (from-to)384-402
Number of pages19
JournalDiscrete Applied Mathematics
Volume145
Issue number3
DOIs
StatePublished - 30 Jan 2005

Keywords

  • Distance in graphs
  • Interval graphs
  • Labeling schemes
  • Permutation graphs

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