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» Kernel Bounds for Disjoint Cycles and Disjoint Paths
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COMPGEOM
2008
ACM
13 years 7 months ago
Maximum thick paths in static and dynamic environments
We consider the problem of finding a maximum number of disjoint paths for unit disks moving amidst static or dynamic obstacles. For the static case we give efficient exact algorit...
Esther M. Arkin, Joseph S. B. Mitchell, Valentin P...
STOC
2004
ACM
121views Algorithms» more  STOC 2004»
14 years 6 months ago
Lower bounds for dynamic connectivity
We prove an (lg n) cell-probe lower bound on maintaining connectivity in dynamic graphs, as well as a more general trade-off between updates and queries. Our bound holds even if t...
Mihai Patrascu, Erik D. Demaine
CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 5 months ago
The Complexity of Proving the Discrete Jordan Curve Theorem
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
Phuong Nguyen, Stephen Cook
TDSC
2010
157views more  TDSC 2010»
13 years 14 days ago
On the Survivability of Wireless Ad Hoc Networks with Node Misbehaviors and Failures
Network survivability is the ability of a network keeping connected under failures and attacks, which is a fundamental issue to the design and performance evaluation of wireless ad...
Fei Xing, Wenye Wang
WAOA
2005
Springer
177views Algorithms» more  WAOA 2005»
13 years 11 months ago
Approximation and Complexity of k-Splittable Flows
Given a graph with a source and a sink node, the NP–hard maximum k–splittable flow (MkSF) problem is to find a flow of maximum value with a flow decomposition using at most...
Ronald Koch, Martin Skutella, Ines Spenke