Contraction decomposition in h-minor-free graphs and algorithmic applications

We prove that any graph excluding a fixed minor can have its edges partitioned into a desired number k of color classes such that contracting the edges in any one color class results in a graph of treewidth linear in k. This result is a natural finale to research in contraction decomposition, genera...

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Bibliographic Details
Main Authors: Demaine, Erik D., Hajiaghayi, Mohammad Taghi, Kawarabayashi, Ken-ichi
Other Authors: Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Format: Article
Language:en_US
Published: Association for Computing Machinery (ACM) 2012
Online Access:http://hdl.handle.net/1721.1/73855
https://orcid.org/0000-0003-3803-5703