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» The Directed Planar Reachability Problem
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ESA
2009
Springer
127views Algorithms» more  ESA 2009»
14 years 4 months ago
Maximum Flow in Directed Planar Graphs with Vertex Capacities
In this paper we present an O(n log n) algorithm for finding a maximum flow in a directed planar graph, where the vertices are subject to capacity constraints, in addition to the...
Haim Kaplan, Yahav Nussbaum
GD
2004
Springer
14 years 3 months ago
Building Blocks of Upward Planar Digraphs
The upward planarity testing problem consists of testing if a digraph admits a drawing Γ such that all edges in Γ are monotonically increasing in the vertical direction and no e...
Patrick Healy, Karol Lynch
SAC
2010
ACM
14 years 4 months ago
Reachability analysis of GSPDIs: theory, optimization, and implementation
Analysis of systems containing both discrete and continuous dynamics, hybrid systems, is a difficult issue. Most problems have been shown to be undecidable in general, and decidab...
Hallstein Asheim Hansen, Gerardo Schneider
FORMATS
2006
Springer
14 years 1 months ago
Static Analysis for State-Space Reduction of Polygonal Hybrid Systems
Polygonal hybrid systems (SPDI) are a subclass of planar hybrid automata which can be represented by piecewise constant differential inclusions. The reachability problem as well as...
Gordon J. Pace, Gerardo Schneider