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CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 4 months ago
Coloring Meyniel graphs in linear time
A Meyniel graph is a graph in which every odd cycle of length at least five has two chords. We present a linear-time algorithm that colors optimally the vertices of a Meyniel grap...
Benjamin Lévêque, Frédé...
ALGORITHMICA
2008
142views more  ALGORITHMICA 2008»
13 years 4 months ago
New Linear-Time Algorithms for Edge-Coloring Planar Graphs
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
Richard Cole, Lukasz Kowalik
COCOA
2007
Springer
13 years 10 months ago
On the Complexity of Some Colorful Problems Parameterized by Treewidth
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...
FOCS
2002
IEEE
13 years 9 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
ALGORITHMICA
2010
115views more  ALGORITHMICA 2010»
13 years 4 months ago
Multi-Color Pebble Motion on Graphs
We consider a graph with n vertices, and p < n pebbles of m colors. A pebble move consists of transferring a pebble from its current host vertex to an adjacent unoccupied verte...
Gilad Goraly, Refael Hassin