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CORR
2007
Springer
113views Education» more  CORR 2007»
14 years 11 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»
14 years 11 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»
14 years 11 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 9 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 4 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