57 search results - page 7 / 12 » Inapproximability for planar embedding problems |
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COMPGEOM
2010
ACM
15 years 2 months ago
2010
ACM
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 ...
CORR
2011
Springer
14 years 4 months ago
2011
Springer
We describe a new variational lower-bound on the minimum energy configuration of a planar binary Markov Random Field (MRF). Our method is based on adding auxiliary nodes to every...
SODA
2012
ACM
12 years 12 months ago
2012
ACM
We give a deterministic algorithm to find the minimum cut in a surface-embedded graph in near-linear time. Given an undirected graph embedded on an orientable surface of genus g,...
STOC
2009
ACM
15 years 10 months ago
2009
ACM
We study the topological simplification of graphs via random embeddings, leading ultimately to a reduction of the Gupta-Newman-Rabinovich-Sinclair (GNRS) L1 embedding conjecture t...
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WADS
2001
Springer
15 years 1 months ago
2001
Springer
Even though a large number of I/O-efficient graph algorithms have been developed, a number of fundamental problems still remain open. For example, no space- and I/O-efficient algo...