3-connected Planar Graph Isomorphism is in Log-space

Datta, Samir; Limaye, Nutan; Nimbhorkar, Prajakta

doi:10.4230/LIPIcs.FSTTCS.2008.1749

Document

3-connected Planar Graph Isomorphism is in Log-space

Authors Samir Datta, Nutan Limaye, Prajakta Nimbhorkar

Part of: Volume: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2008)
Part of: Series: Leibniz International Proceedings in Informatics (LIPIcs)
Part of: Conference: IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS)
License: Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported license
Publication Date: 2008-12-05

PDF

File

PDF

LIPIcs.FSTTCS.2008.1749.pdf

Filesize: 385 kB
8 pages

Document Identifiers

DOI: 10.4230/LIPIcs.FSTTCS.2008.1749
URN: urn:nbn:de:0030-drops-17491

Subject Classification

Keywords

Planar graph isomorphism
three connected graphs
logspace
universal exploration sequence

Metrics

Access Statistics
Total Accesses (updated on a weekly basis)

0

PDF Downloads

0

Metadata Views

Abstract

We consider the isomorphism and canonization
problem for $3$-connected planar graphs. The
problem was known to be \Log-hard and in \ULcoUL\ \cite{TW07}. In this
paper, we give a deterministic log-space algorithm for $3$-connected
planar graph isomorphism and canonization. 
This gives an \Log-completeness result,
thereby settling its complexity.
\par The algorithm uses the notion of universal exploration sequences
from \cite{koucky01} and \cite{Rei05}. To our knowledge, this is a
completely new approach to graph canonization.

Cite As Get BibTex

Samir Datta, Nutan Limaye, and Prajakta Nimbhorkar. 3-connected Planar Graph Isomorphism is in Log-space. In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 2, pp. 155-162, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008) https://doi.org/10.4230/LIPIcs.FSTTCS.2008.1749

Author Details

Samir Datta

Nutan Limaye

Prajakta Nimbhorkar

Questions / Remarks / Feedback

Feedback for Dagstuhl Publishing

Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail