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SODA
2010
ACM
205views Algorithms» more  SODA 2010»
14 years 2 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
COMPGEOM
2010
ACM
13 years 10 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...
INFOCOM
2009
IEEE
13 years 11 months ago
MARA: Maximum Alternative Routing Algorithm
—In hop-by-hop networks, provision of multipath routes for all nodes can improve fault tolerance and performance. In this paper we study the multipath route calculation by constr...
Yasuhiro Ohara, Shinji Imahori, Rodney Van Meter
STOC
2009
ACM
155views Algorithms» more  STOC 2009»
14 years 5 months ago
A nearly optimal oracle for avoiding failed vertices and edges
We present an improved oracle for the distance sensitivity problem. The goal is to preprocess a directed graph G = (V, E) with non-negative edge weights to answer queries of the f...
Aaron Bernstein, David R. Karger
WADS
2009
Springer
232views Algorithms» more  WADS 2009»
13 years 11 months ago
On Making Directed Graphs Transitive
We present the first thorough theoretical analysis of the Transitivity Editing problem on digraphs. Herein, the task is to perform a minimum number of arc insertions or deletions ...
Mathias Weller, Christian Komusiewicz, Rolf Nieder...