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» Improved upper bounds on the crossing number
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WDAG
2010
Springer
183views Algorithms» more  WDAG 2010»
13 years 5 months ago
What Is the Use of Collision Detection (in Wireless Networks)?
We show that the asymptotic gain in the time complexity when using collision detection depends heavily on the task by investigating three prominent problems for wireless networks,...
Johannes Schneider, Roger Wattenhofer
COMPGEOM
2010
ACM
13 years 10 months ago
Tangencies between families of disjoint regions in the plane
Let C be a family of n convex bodies in the plane, which can be decomposed into k subfamilies of pairwise disjoint sets. It is shown that the number of tangencies between the memb...
János Pach, Andrew Suk, Miroslav Treml
ALGORITHMICA
2008
56views more  ALGORITHMICA 2008»
13 years 7 months ago
Eliminating Cycles in the Discrete Torus
In this paper we consider the following question: how many vertices of the discrete torus must be deleted so that no topologically nontrivial cycles remain? We look at two differe...
Béla Bollobás, Guy Kindler, Imre Lea...
INFOCOM
2008
IEEE
14 years 1 months ago
How Many Packets Can We Encode? - An Analysis of Practical Wireless Network Coding
— While the practical coding scheme [1] has been shown to be able to improve throughput of wireless networks, there still lacks fundamental understanding on how the coding scheme...
Jilin Le, John C. S. Lui, Dah-Ming Chiu
DAM
2006
78views more  DAM 2006»
13 years 7 months ago
Hybrid rounding techniques for knapsack problems
We address the classical knapsack problem and a variant in which an upper bound is imposed on the number of items that can be selected. We show that appropriate combinations of ro...
Monaldo Mastrolilli, Marcus Hutter