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» Induced Subgraphs of Bounded Degree and Bounded Treewidth
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JGAA
2007
142views more  JGAA 2007»
13 years 4 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr
EJC
2010
13 years 5 months ago
Bandwidth, expansion, treewidth, separators and universality for bounded-degree graphs
We establish relations between the bandwidth and the treewidth of bounded degree graphs G, and relate these parameters to the size of a separator of G as well as the size of an exp...
Julia Böttcher, Klaas P. Pruessmann, Anusch T...
WG
1998
Springer
13 years 9 months ago
Linear Time Solvable Optimization Problems on Graphs of Bounded Clique Width
Hierarchical decompositions of graphs are interesting for algorithmic purposes. There are several types of hierarchical decompositions. Tree decompositions are the best known ones....
Bruno Courcelle, Johann A. Makowsky, Udi Rotics
JDA
2006
83views more  JDA 2006»
13 years 4 months ago
Partitioning a graph of bounded tree-width to connected subgraphs of almost uniform size
Assume that each vertex of a graph G is assigned a nonnegative integer weight and that l and u are nonnegative integers. One wishes to partition G into connected components by del...
Takehiro Ito, Xiao Zhou, Takao Nishizeki
SIAMDM
2008
97views more  SIAMDM 2008»
13 years 4 months ago
Large Nearly Regular Induced Subgraphs
For a real c 1 and an integer n, let f(n, c) denote the maximum integer f such that every graph on n vertices contains an induced subgraph on at least f vertices in which the max...
Noga Alon, Michael Krivelevich, Benny Sudakov