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GD
2005
Springer
14 years 3 months ago
C-Planarity of Extrovert Clustered Graphs
A clustered graph has its vertices grouped into clusters in a hierarchical way via subset inclusion, thereby imposing a tree structure on the clustering relationship. The c-planari...
Michael T. Goodrich, George S. Lueker, Jonathan Z....
ISAAC
2004
Springer
141views Algorithms» more  ISAAC 2004»
14 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, ...
IPL
2000
111views more  IPL 2000»
13 years 9 months ago
On the performance of the first-fit coloring algorithm on permutation graphs
In this paper we study the performance of a particular on-line coloring algorithm, the First-Fit or Greedy algorithm, on a class of perfect graphs namely the permutation graphs. W...
Stavros D. Nikolopoulos, Charis Papadopoulos
ICFP
2012
ACM
12 years 2 days ago
Functional programming with structured graphs
This paper presents a new functional programming model for graph structures called structured graphs. Structured graphs extend conventional algebraic datatypes with explicit defi...
Bruno C. d. S. Oliveira, William R. Cook
FUIN
2010
67views more  FUIN 2010»
13 years 7 months ago
Properties of Almost All Graphs and Generalized Quantifiers
We study 0-1 laws for extensions of first-order logic by Lindstr
Anuj Dawar, Erich Grädel