Tree-width and large grid minors in planar graphs

A. Grigoriev*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We show that for a planar graph with no g-grid minor there exists a tree-decomposition of width at most 5g - 6. The proof is constructive and simple. The underlying algorithm for the tree-decomposition runs in O(n(2) log n) time.
Original languageEnglish
Pages (from-to)13-20
Number of pages8
JournalDiscrete Mathematics and Theoretical Computer Science
Volume13
Issue number1
Publication statusPublished - 1 Jan 2011

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