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» The Complexity of Planar Counting Problems
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STACS
1992
Springer
13 years 11 months ago
Graph Isomorphism is Low for PP
We show that the graph isomorphism problem is low for PP and for C=P, i.e., it does not provide a PP or C=P computation with any additional power when used as an oracle. Furthermor...
Johannes Köbler, Uwe Schöning, Jacobo To...
COMGEO
2012
ACM
12 years 3 months ago
Point-set embeddings of plane 3-trees
A straight-line drawing of a plane graph G is a planar drawing of G, where each vertex is drawn as a point and each edge is drawn as a straight line segment. Given a set S of n poi...
Rahnuma Islam Nishat, Debajyoti Mondal, Md. Saidur...
3DPVT
2002
IEEE
109views Visualization» more  3DPVT 2002»
14 years 21 days ago
A Hierarchy of Cameras for 3D Photography
We investigate the relationship between camera design and 3D photography, by examining the influence of camera design on the estimation of the motion and structure of a scene fro...
Jan Neumann, Cornelia Fermüller, Yiannis Aloi...
COMPGEOM
2009
ACM
14 years 2 months ago
Zigzag persistent homology and real-valued functions
We study the problem of computing zigzag persistence of a sequence of homology groups and study a particular sequence derived from the levelsets of a real-valued function on a top...
Gunnar Carlsson, Vin de Silva, Dmitriy Morozov
COMPGEOM
2006
ACM
14 years 1 months ago
Vines and vineyards by updating persistence in linear time
Persistent homology is the mathematical core of recent work on shape, including reconstruction, recognition, and matching. Its pertinent information is encapsulated by a pairing o...
David Cohen-Steiner, Herbert Edelsbrunner, Dmitriy...