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STACS
2000
Springer
13 years 11 months ago
The Complexity of Planarity Testing
We clarify the computational complexity of planarity testing, by showing that planarity testing is hard for L, and lies in SL. This nearly settles the question, since it is widely...
Eric Allender, Meena Mahajan
SODA
2007
ACM
106views Algorithms» more  SODA 2007»
13 years 9 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
STACS
2009
Springer
14 years 2 months ago
Approximating Acyclicity Parameters of Sparse Hypergraphs
The notions of hypertree width and generalized hypertree width were introduced by Gottlob, Leone, and Scarcello in order to extend the concept of hypergraph acyclicity. These noti...
Fedor V. Fomin, Petr A. Golovach, Dimitrios M. Thi...
ICALP
1992
Springer
13 years 11 months ago
On Nearest-Neighbor Graphs
The "nearest neighbor" relation, or more generally the "k nearest neighbors" relation, defined for a set of points in a metric space, has found many uses in co...
Mike Paterson, F. Frances Yao
GD
1998
Springer
13 years 12 months ago
Balanced Aspect Ratio Trees and Their Use for Drawing Very Large Graphs
We describe a new approach for cluster-based drawing of very large graphs, which obtains clusters by using binary space partition (BSP) trees. We also introduce a novel BSP-type de...
Christian A. Duncan, Michael T. Goodrich, Stephen ...