Title
K-4-MINOR-FREE INDUCED SUBGRAPHS OF SPARSE CONNECTED GRAPHS
Abstract
We prove that every connected graph G with m edges contains a set X of at most 3/16(m + 1) vertices such that G-X has no K-4 minor, or, equivalently, has treewidth at most 2. This bound is best possible. Connectivity is essential: If G is not connected, then only a bound of 1/5m can be guaranteed.
Year
DOI
Venue
2016
10.1137/16M107712X
SIAM JOURNAL ON DISCRETE MATHEMATICS
Keywords
Field
DocType
K-4-minor,series-parallel,transversal
Discrete mathematics,Graph,Combinatorics,Vertex (geometry),Transversal (geometry),Treewidth,Series and parallel circuits,Connectivity,Mathematics
Journal
Volume
Issue
ISSN
32
1
0895-4801
Citations 
PageRank 
References 
0
0.34
10
Authors
2
Name
Order
Citations
PageRank
Gwenaël Joret119628.64
David R. Wood2107396.22