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» On disjoint paths in acyclic planar graphs
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FCT
2009
Springer
15 years 1 months ago
Reachability in K3, 3-Free Graphs and K5-Free Graphs Is in Unambiguous Log-Space
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...
Thomas Thierauf, Fabian Wagner
STACS
2010
Springer
15 years 4 months ago
Log-space Algorithms for Paths and Matchings in k-trees
Reachability and shortest path problems are NL-complete for general graphs. They are known to be in L for graphs of tree-width 2 [14]. However, for graphs of treewidth larger than ...
Bireswar Das, Samir Datta, Prajakta Nimbhorkar
SODA
1990
ACM
114views Algorithms» more  SODA 1990»
14 years 11 months ago
Finding Steiner Forests in Planar Graphs
Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the termin...
Hitoshi Suzuki, Takehiro Akama, Takao Nishizeki
ECCC
2010
143views more  ECCC 2010»
14 years 7 months ago
Space-Efficient Algorithms for Reachability in Surface-Embedded Graphs
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
Derrick Stolee, N. V. Vinodchandran
SIAMDM
2000
103views more  SIAMDM 2000»
14 years 9 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