Title
Immersion in four-edge-connected graphs.
Abstract
Fix g>1. Every graph of large enough tree-width contains a g×g grid as a minor; but here we prove that every four-edge-connected graph of large enough tree-width contains a g×g grid as an immersion (and hence contains any fixed graph with maximum degree at most four as an immersion). This result has a number of applications.
Year
DOI
Venue
2013
10.1016/j.jctb.2015.07.006
Journal of Combinatorial Theory, Series B
Keywords
Field
DocType
Graph immersion,Grid minors
Discrete mathematics,Graph,Combinatorics,Immersion (virtual reality),Degree (graph theory),Mathematics,Grid
Journal
Volume
Issue
ISSN
116
C
0095-8956
Citations 
PageRank 
References 
4
0.46
6
Authors
4
Name
Order
Citations
PageRank
Maria Chudnovsky139046.13
Zdenek Dvorak210416.60
Tereza Klimosova3186.12
Paul D. Seymour42786314.49