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COCOON
2007
Springer
13 years 11 months ago
Improved Exact Algorithms for Counting 3- and 4-Colorings
Abstract. We introduce a generic algorithmic technique and apply it on decision and counting versions of graph coloring. Our approach is based on the following idea: either a graph...
Fedor V. Fomin, Serge Gaspers, Saket Saurabh
MTA
2006
156views more  MTA 2006»
13 years 7 months ago
DAG-based visual interfaces for navigation in indexed video content
Indexing and segmenting of video content by motion, color and texture has been intensively explored leading to a usual representation in a storyboard. In this paper, a novel metho...
Maylis Delest, Anthony Don, Jenny Benois-Pineau
WG
2004
Springer
14 years 27 days ago
Coloring a Graph Using Split Decomposition
We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular...
Michaël Rao
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
13 years 5 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
ICALP
2005
Springer
14 years 1 months ago
Approximation Algorithms for the Max-coloring Problem
Given a graph G = (V, E) and positive integral vertex weights w : V → N, the max-coloring problem seeks to find a proper vertex coloring of G whose color classes C1, C2, . . . ,...
Sriram V. Pemmaraju, Rajiv Raman