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COMPGEOM
2010
ACM
14 years 22 days 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
CIAC
2010
Springer
251views Algorithms» more  CIAC 2010»
14 years 5 months ago
A parameterized algorithm for Chordal Sandwich
Given an arbitrary graph G = (V, E) and an additional set of admissible edges F, the Chordal Sandwich problem asks whether there exists a chordal graph (V, E F ) such that F F. ...
Pinar Heggernes, Federico Mancini, Jesper Nederlof...
MST
2011
207views Hardware» more  MST 2011»
13 years 2 months ago
Fixpoint Logics over Hierarchical Structures
Hierarchical graph definitions allow a modular description of graphs using modules for the specification of repeated substructures. Beside this modularity, hierarchical graph de...
Stefan Göller, Markus Lohrey
DISOPT
2006
155views more  DISOPT 2006»
13 years 7 months ago
Cyclical scheduling and multi-shift scheduling: Complexity and approximation algorithms
We consider the multiple shift scheduling problem modelled as a covering problem. Such problems are characterized by a constraint matrix that has in every column blocks of consecu...
Dorit S. Hochbaum, Asaf Levin
MP
2007
100views more  MP 2007»
13 years 7 months ago
Power optimization for connectivity problems
Given a graph with costs on the edges, the power of a node is the maximum cost of an edge leaving it, and the power of the graph is the sum of the powers of the nodes of this graph...
Mohammad Taghi Hajiaghayi, Guy Kortsarz, Vahab S. ...