Golovach, P.A. and Kamiński, M. and Paulusma, Daniel and Thilikos, D.M. (2011) 'Lift contractions.', Electronic notes in discrete mathematics., 38 (1). pp. 407-412.
We introduce and study a new containment relation in graphs – lift contractions. H is a lift contraction of G if H can be obtained from G by a sequence of edge lifts and edge contractions. We show that a graph contains every n-vertex graph as a lift contraction, if (1) its treewidth is large enough, or (2) its pathwidth is large enough and it is 2-connected, or (3) its order is large enough and its minimum degree is at least 3.
|Keywords:||Contractions, Treewidth, Immersions, Edge lifts.|
|Full text:||(AM) Accepted Manuscript|
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|Publisher Web site:||http://dx.doi.org/10.1016/j.endm.2011.09.066|
|Publisher statement:||NOTICE: this is the author’s version of a work that was accepted for publication in Electronic notes in discrete mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Electronic notes in discrete mathematics, 38/1/, 2011, 10.1016/j.endm.2011.09.066|
|Record Created:||07 Dec 2011 14:51|
|Last Modified:||12 Aug 2015 16:41|
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