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» 3-hitting set on Bounded Degree Hypergraphs: Upper and Lower...
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TAPAS
2011
255views Algorithms» more  TAPAS 2011»
12 years 11 months ago
3-hitting set on Bounded Degree Hypergraphs: Upper and Lower Bounds on the Kernel Size
We study upper and lower bounds on the kernel size for the 3-hitting set problem on hypergraphs of degree at most 3, denoted 33-hs. We first show that, unless P=NP, 3-3-hs on 3-un...
Iyad A. Kanj, Fenghui Zhang
IPL
2010
111views more  IPL 2010»
13 years 3 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
SODA
2012
ACM
253views Algorithms» more  SODA 2012»
11 years 7 months ago
Kernelization of packing problems
Kernelization algorithms are polynomial-time reductions from a problem to itself that guarantee their output to have a size not exceeding some bound. For example, d-Set Matching f...
Holger Dell, Dániel Marx
COLT
2005
Springer
13 years 10 months ago
Learning a Hidden Hypergraph
We consider the problem of learning a hypergraph using edge-detecting queries. In this model, the learner may query whether a set of vertices induces an edge of the hidden hypergr...
Dana Angluin, Jiang Chen
JGAA
2006
127views more  JGAA 2006»
13 years 4 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...