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» Lower bounds on the obstacle number of graphs
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COMPGEOM
1996
ACM
15 years 2 months ago
Convex Drawings of Graphs in Two and Three Dimensions (Preliminary Version)
We provideO(n)-timealgorithmsfor constructingthe following types of drawings of n-vertex 3-connectedplanar graphs: 2D convex grid drawings with (3n) (3n=2) area under the edge L1-...
Marek Chrobak, Michael T. Goodrich, Roberto Tamass...
CORR
2007
Springer
134views Education» more  CORR 2007»
14 years 10 months ago
Rate-Constrained Wireless Networks with Fading Channels: Interference-Limited and Noise-Limited Regimes
A network of n wireless communication links is considered in a Rayleigh fading environment. It is assumed that each link can be active and transmit with a constant power P or rema...
Masoud Ebrahimi, Amir K. Khandani
DM
2007
83views more  DM 2007»
14 years 10 months ago
Codes identifying sets of vertices in random networks
In this paper we deal with codes identifying sets of vertices in random networks; that is, (1, ≤ ℓ)-identifying codes. These codes enable us to detect sets of faulty processor...
Alan M. Frieze, Ryan Martin, Julien Moncel, Mikl&o...
GBRPR
2003
Springer
15 years 3 months ago
Constructing Stochastic Pyramids by MIDES - Maximal Independent Directed Edge Set
Abstract. We present a new method (MIDES) to determine contraction kernels for the construction of graph pyramids. Experimentally the new method has a reduction factor higher than ...
Yll Haxhimusa, Roland Glantz, Walter G. Kropatsch
CORR
2010
Springer
51views Education» more  CORR 2010»
14 years 10 months ago
On ternary square-free circular words
Circular words are cyclically ordered finite sequences of letters. We give a computer-free proof of the following result by Currie: square-free circular words over the ternary alp...
Arseny M. Shur