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CORR
2007
Springer
113views Education» more  CORR 2007»
15 years 1 months ago
The road coloring problem
A synchronizing word of a deterministic automaton is a word in the alphabet of colors (considered as letters) of its edges that maps the automaton to a single state. A coloring of...
A. N. Trahtman
ALGORITHMICA
2006
138views more  ALGORITHMICA 2006»
15 years 2 months ago
Planar Graph Coloring Avoiding Monochromatic Subgraphs: Trees and Paths Make It Difficult
We consider the problem of coloring a planar graph with the minimum number of colors so that each color class avoids one or more forbidden graphs as subgraphs. We perform a detail...
Hajo Broersma, Fedor V. Fomin, Jan Kratochví...
ALGORITHMICA
1998
94views more  ALGORITHMICA 1998»
15 years 1 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
FSTTCS
2010
Springer
14 years 12 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...
WADS
2001
Springer
126views Algorithms» more  WADS 2001»
15 years 6 months ago
On External-Memory Planar Depth First Search
Even though a large number of I/O-efficient graph algorithms have been developed, a number of fundamental problems still remain open. For example, no space- and I/O-efficient algo...
Lars Arge, Ulrich Meyer, Laura Toma, Norbert Zeh