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COMPGEOM
2010
ACM
14 years 1 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar
STACS
2001
Springer
14 years 26 days ago
Generalized Langton's Ant: Dynamical Behavior and Complexity
Langton’s ant is a simple discrete dynamical system, with a surprisingly complex behavior. We study its extension to general planar graphs. First we give some relations between c...
Anahí Gajardo, Eric Goles Ch., André...
DAM
2008
87views more  DAM 2008»
13 years 8 months ago
Partial characterizations of clique-perfect graphs I: Subclasses of claw-free graphs
A clique-transversal of a graph G is a subset of vertices that meets all the cliques of G. A clique-independent set is a collection of pairwise vertex-disjoint cliques. The clique...
Flavia Bonomo, Maria Chudnovsky, Guillermo Dur&aac...
STOC
2003
ACM
114views Algorithms» more  STOC 2003»
14 years 8 months ago
Testing subgraphs in directed graphs
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...
Noga Alon, Asaf Shapira
ICALP
2011
Springer
12 years 12 months ago
Clustering with Local Restrictions
We study a family of graph clustering problems where each cluster has to satisfy a certain local requirement. Formally, let µ be a function on the subsets of vertices of a graph G...
Daniel Lokshtanov, Dániel Marx