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» On disjoint paths in acyclic planar graphs
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FOCS
1995
IEEE
15 years 9 months ago
Disjoint Paths in Densely Embedded Graphs
We consider the following maximum disjoint paths problem (mdpp). We are given a large network, and pairs of nodes that wish to communicate over paths through the network — the g...
Jon M. Kleinberg, Éva Tardos
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
15 years 7 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta
CORR
2010
Springer
95views Education» more  CORR 2010»
15 years 6 months ago
A lower bound for the tree-width of planar graphs with vital linkages
The disjoint paths problem asks, given an graph G and k + 1 pairs of terminals (s0, t0), . . . , (sk, tk), whether there are k + 1 pairwise disjoint paths P0, . . . , Pk, such tha...
Isolde Adler, Philipp Klaus Krause
CORR
2008
Springer
72views Education» more  CORR 2008»
15 years 6 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar
ESA
2010
Springer
188views Algorithms» more  ESA 2010»
15 years 4 months ago
Contractions of Planar Graphs in Polynomial Time
Abstract. We prove that for every graph H, there exists a polynomial-time algorithm deciding if a planar graph can be contracted to H. We introduce contractions and topological min...
Marcin Kaminski, Daniël Paulusma, Dimitrios M...