Planar k-Path in Subexponential Time and Polynomial Space

Daniel Lokshtanov, Matthias Mnich, Saket Saurabh

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


In the k-path problem we are given an n-vertex graph g together with an integer k and asked whether g contains a path of length k as a subgraph. We give the first subexponential time, polynomial space parameterized algorithm for k-path on planar graphs, and more generally, on h-minor-free graphs. The running time of our algorithm is o(2^{o(\sqrt{k}\log^2 k)}n^{o(1)})o(2^{o(\sqrt{k}\log^2 k)}n^{o(1)}).
Original languageEnglish
Title of host publicationGraph-Theoretic Concepts in Computer Science
Subtitle of host publication37th International Workshop, WG 2011 Tepla Monastery, Czech Republic, June 2011 Revised Papers
EditorsPetr Kolman, Jan Kratochvil
ISBN (Electronic)978-3-642-25870-1
ISBN (Print)978-3-642-25869-5
Publication statusPublished - 2011
Externally publishedYes

Publication series

SeriesLecture Notes in Computer Science


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