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JAPLL
2008
101views more  JAPLL 2008»
13 years 7 months ago
Circle graphs and monadic second-order logic
A circle graph is the intersection graph of a set of chords of a circle. If a circle graph is prime for the split (or join) decomposition defined by Cunnigham, it has a unique rep...
Bruno Courcelle
APPROX
2008
Springer
137views Algorithms» more  APPROX 2008»
13 years 9 months ago
Approximating Directed Weighted-Degree Constrained Networks
Given a graph H = (V, F) with edge weights {w(e) : e F}, the weighted degree of a node v in H is {w(vu) : vu F}. We give bicriteria approximation algorithms for problems that see...
Zeev Nutov
CPC
2010
116views more  CPC 2010»
13 years 4 months ago
A Separator Theorem for String Graphs and its Applications
A string graph is the intersection graph of a collection of continuous arcs in the plane. It is shown that any string graph with m edges can be separated into two parts of roughly...
Jacob Fox, János Pach
COCOON
2003
Springer
14 years 21 days ago
Matroid Representation of Clique Complexes
In this paper, we approach the quality of a greedy algorithm for the maximum weighted clique problem from the viewpoint of matroid theory. More precisely, we consider the clique c...
Kenji Kashiwabara, Yoshio Okamoto, Takeaki Uno
ESA
2010
Springer
273views Algorithms» more  ESA 2010»
13 years 8 months ago
Minimum Vertex Cover in Rectangle Graphs
We consider the Minimum Vertex Cover problem in intersection graphs of axis-parallel rectangles on the plane. We present two algorithms: The first is an EPTAS for non-crossing rect...
Reuven Bar-Yehuda, Danny Hermelin, Dror Rawitz