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COCOON
2001
Springer
14 years 7 days ago
A Space Saving Trick for Directed Dynamic Transitive Closure and Shortest Path Algorithms
We present a simple space saving trick that applies to many previous algorithms for transitive closure and shortest paths in dynamic directed graphs. In these problems, an update c...
Valerie King, Mikkel Thorup
SODA
2008
ACM
127views Algorithms» more  SODA 2008»
13 years 9 months ago
Nondecreasing paths in a weighted graph or: how to optimally read a train schedule
A travel booking office has timetables giving arrival and departure times for all scheduled trains, including their origins and destinations. A customer presents a starting city a...
Virginia Vassilevska
ALGORITHMICA
2011
13 years 2 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick
CORR
2010
Springer
126views Education» more  CORR 2010»
13 years 4 months ago
From Pathwidth to Connected Pathwidth
It is proven that the connected pathwidth of any graph G is at most 2
Dariusz Dereniowski
SIAMDM
2000
103views more  SIAMDM 2000»
13 years 7 months ago
Directional Routing via Generalized st-Numberings
We present a mathematical model for network routing based on generating paths in a consistent direction. Our development is based on an algebraic and geometric framework for defini...
Fred S. Annexstein, Kenneth A. Berman