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ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
15 years 3 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»
14 years 8 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 3 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»
14 years 9 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»
14 years 9 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...