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» On Bounds for the k-Partitioning of Graphs
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SIAMDM
2010
119views more  SIAMDM 2010»
13 years 1 months ago
Surviving Rates of Graphs with Bounded Treewidth for the Firefighter Problem
The firefighter problem is the following discrete-time game on a graph. Initially, a fire starts at a vertex of the graph. In each round, a firefighter protects one vertex not yet ...
Leizhen Cai, Yongxi Cheng, Elad Verbin, Yuan Zhou
PC
2008
111views Management» more  PC 2008»
13 years 6 months ago
A partitioning algorithm for block-diagonal matrices with overlap
We present a graph partitioning algorithm that aims at partitioning a sparse matrix into a block-diagonal form, such that any two consecutive blocks overlap. We denote this form o...
Guy Antoine Atenekeng Kahou, Laura Grigori, Masha ...
IPL
2010
111views more  IPL 2010»
13 years 4 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer
GC
2010
Springer
13 years 4 months ago
Degree Bounded Spanning Trees
In this paper, we give a sufficient condition for a graph to have a degree bounded spanning tree. Let n ≥ 1, k ≥ 3, c ≥ 0 and G be an n-connected graph. Suppose that for eve...
Jun Fujisawa, Hajime Matsumura, Tomoki Yamashita
SIAMCOMP
2011
12 years 9 months ago
An Expansion Tester for Bounded Degree Graphs
We consider the problem of testing graph expansion (either vertex or edge) in the bounded degree model [10]. We give a property tester that given a graph with degree bound d, an ex...
Satyen Kale, C. Seshadhri