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» Geometric graphs with no two parallel edges
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CASES
2009
ACM
14 years 1 months ago
Optimal loop parallelization for maximizing iteration-level parallelism
This paper solves the open problem of extracting the maximal number of iterations from a loop that can be executed in parallel on chip multiprocessors. Our algorithm solves it opt...
Duo Liu, Zili Shao, Meng Wang, Minyi Guo, Jingling...
SODA
2007
ACM
123views Algorithms» more  SODA 2007»
13 years 8 months ago
Region-fault tolerant geometric spanners
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
DAM
2010
105views more  DAM 2010»
13 years 4 months ago
An iterative approach to graph irregularity strength
An assignment of positive integer weights to the edges of a simple graph G is called irregular if the weighted degrees of the vertices are all different. The irregularity strength,...
Michael Ferrara, Ronald J. Gould, Michal Karonski,...
ECCC
2010
82views more  ECCC 2010»
13 years 7 months ago
A Strong Parallel Repetition Theorem for Projection Games on Expanders
The parallel repetition theorem states that for any Two Prover Game with value at most 1 - (for < 1/2), the value of the game repeated n times in parallel is at most (1 - 3 )(n...
Ran Raz
TCS
2008
13 years 7 months ago
Succinct representations of planar maps
This paper addresses the problem of representing the connectivity information of geometric objects using as little memory as possible. As opposed to raw compression issues, the fo...
Luca Castelli Aleardi, Olivier Devillers, Gilles S...