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» On Bounds for the k-Partitioning of Graphs
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SIAMDM
2008
140views more  SIAMDM 2008»
14 years 9 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
FOCS
2002
IEEE
15 years 2 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
JAIR
2010
130views more  JAIR 2010»
14 years 8 months ago
Join-Graph Propagation Algorithms
The paper investigates parameterized approximate message-passing schemes that are based on bounded inference and are inspired by Pearl’s belief propagation algorithm (BP). We st...
Robert Mateescu, Kalev Kask, Vibhav Gogate, Rina D...
ENDM
2002
91views more  ENDM 2002»
14 years 9 months ago
On minimally 3-connected graphs on a surface
It is well-known that the maximal size of minimally 3-connected graphs of order 7n is 93 -n . In this paper, we shall prove that if G is a minimally 3-connected graph of order n, ...
Katsuhiro Ota
COLOGNETWENTE
2010
14 years 8 months ago
Approximating Independent Set in Semi-Random Graphs
We present an algorithm for the independent set problem on semi-random graphs, which are generated as follows: An adversary chooses an n-vertex graph, and then each edge is flipp...
Bodo Manthey, Kai Plociennik