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» Obtaining a Planar Graph by Vertex Deletion
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WG
2007
Springer
13 years 11 months ago
Obtaining a Planar Graph by Vertex Deletion
In the Planar +k vertex problem the task is to find at most k vertices whose deletion makes the given graph planar. The graphs for which there exists a solution form a minor close...
Dániel Marx, Ildikó Schlotter
GC
2010
Springer
13 years 3 months ago
Enumerative Properties of Rooted Circuit Maps
In 1966 Barnette introduced a set of graphs, called circuit graphs, which are obtained from 3-connected planar graphs by deleting a vertex. Circuit graphs and 3-connected planar g...
Zhicheng Gao, Han Ren
CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 5 months ago
Hitting forbidden minors: Approximation and Kernelization
We study a general class of problems called F -Deletion problems. In an F -Deletion problem, we are asked whether a subset of at most k vertices can be deleted from a graph G such...
Fedor V. Fomin, Daniel Lokshtanov, Neeldhara Misra...
SIAMCOMP
1998
85views more  SIAMCOMP 1998»
13 years 4 months ago
Separator-Based Sparsification II: Edge and Vertex Connectivity
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...
EJC
2008
13 years 5 months ago
Expansion properties of a random regular graph after random vertex deletions
We investigate the following vertex percolation process. Starting with a random regular graph of constant degree, delete each vertex independently with probability p, where p = n-...
Catherine S. Greenhill, Fred B. Holt, Nicholas C. ...