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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 11 months ago
Weighted Coloring on Planar, Bipartite and Split Graphs: Complexity and Improved Approximation
We study complexity and approximation of min weighted node coloring in planar, bipartite and split graphs. We show that this problem is NP-complete in planar graphs, even if they a...
Jérôme Monnot, Vangelis Th. Paschos, ...
JAT
2010
109views more  JAT 2010»
15 years 4 months ago
Networks of polynomial pieces with application to the analysis of point clouds and images
We consider H¨older smoothness classes of surfaces for which we construct piecewise polynomial approximation networks, which are graphs with polynomial pieces as nodes and edges ...
Ery Arias-Castro, Boris Efros, Ofer Levi
ISAAC
2004
Springer
153views Algorithms» more  ISAAC 2004»
15 years 11 months ago
Canonical Data Structure for Interval Probe Graphs
The class of interval probe graphs is introduced to deal with the physical mapping and sequencing of DNA as a generalization of interval graphs. The polynomial time recognition al...
Ryuhei Uehara
ENDM
2008
90views more  ENDM 2008»
15 years 6 months ago
On cliques of Helly Circular-arc Graphs
A circular-arc graph is the intersection graph of a set of arcs on the circle. It is a Helly circular-arc graph if it has a Helly model, where every maximal clique is the set of a...
Min Chih Lin, Ross M. McConnell, Francisco J. Soul...
DAM
2008
90views more  DAM 2008»
15 years 6 months ago
Polarity of chordal graphs
Polar graphs are a common generalization of bipartite, cobipartite, and split graphs. They are defined by the existence of a certain partition of vertices, which is NPcomplete to ...
Tinaz Ekim, Pavol Hell, Juraj Stacho, Dominique de...