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DAGSTUHL
2007
15 years 1 months ago
Exact Elimination of Cycles in Graphs
One of the standard basic steps in drawing hierarchical graphs is to invert some arcs of the given graph to make the graph acyclic. We discuss exact and parameterized algorithms fo...
Daniel Raible, Henning Fernau
STOC
2003
ACM
140views Algorithms» more  STOC 2003»
15 years 12 months ago
Cutting triangular cycles of lines in space
We show that n lines in 3-space can be cut into O(n2-1/69 log16/69 n) pieces, such that all depth cycles defined by triples of lines are eliminated. This partially resolves a long...
Boris Aronov, Vladlen Koltun, Micha Sharir
SIAMCOMP
2010
93views more  SIAMCOMP 2010»
14 years 6 months ago
Tightening Nonsimple Paths and Cycles on Surfaces
We describe algorithms to compute the shortest path homotopic to a given path, or the shortest cycle freely homotopic to a given cycle, on an orientable combinatorial surface. Unli...
Éric Colin de Verdière, Jeff Erickso...
PDCAT
2004
Springer
15 years 5 months ago
Stochastic DFS for Multiprocessor Scheduling of Cyclic Taskgraphs
DFS has previously been shown to be a simple and efficient strategy for removing cycles in graphs allowing the resulting DAGs to be scheduled using one of the many well-established...
Frode Eika Sandnes, Oliver Sinnen
CORR
2010
Springer
108views Education» more  CORR 2010»
14 years 6 months ago
Finding Cycles and Trees in Sublinear Time
We present sublinear-time (randomized) algorithms for finding simple cycles of length at least k 3 and tree-minors in bounded-degree graphs. The complexity of these algorithms is...
Artur Czumaj, Oded Goldreich, Dana Ron, C. Seshadh...