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ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
13 years 5 months ago
A Fully Dynamic Approximation Scheme for Shortest Paths in Planar Graphs
In this paper we give a fully dynamic approximation scheme for maintaining all-pairs shortest paths in planar networks. Given an error parameter ε such that 0 < ε, our algorit...
Philip N. Klein, Sairam Subramanian
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
13 years 10 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 5 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
2010
Springer
145views Education» more  CORR 2010»
13 years 5 months ago
CAT-generation of ideals
We consider the problem of generating all ideals of a poset. It is a long standing open problem, whether or not the ideals of any poset can be generated in constant amortized time...
Torsten Ueckerdt
IPL
2007
101views more  IPL 2007»
13 years 5 months ago
Adjacency queries in dynamic sparse graphs
We deal with the problem of maintaining a dynamic graph so that queries of the form “is there an edge between u and v?” are processed fast. We consider graphs of bounded arbor...
Lukasz Kowalik