Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6423923 | Electronic Notes in Discrete Mathematics | 2011 | 6 Pages |
Abstract
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
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Petr A. Golovach, Marcin KamiÅski, Daniël Paulusma, Dimitrios M. Thilikos,