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ICCV
2007
IEEE
14 years 1 months ago
Fast Matching of Planar Shapes in Sub-cubic Runtime
The matching of planar shapes can be cast as a problem of finding the shortest path through a graph spanned by the two shapes, where the nodes of the graph encode the local simil...
Frank R. Schmidt, Dirk Farin, Daniel Cremers
CORR
2007
Springer
132views Education» more  CORR 2007»
13 years 7 months ago
Nodally 3-connected planar graphs and convex combination mappings
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
Colm Ó'Dúnlaing
GD
2004
Springer
14 years 26 days ago
Simultaneous Embedding of Planar Graphs with Few Bends
We present an O(n) time algorithm for simultaneous embedding of pairs of planar graphs on the O(n2 )×O(n2 ) grid, with at most three bends per edge, where n is the number of verti...
Cesim Erten, Stephen G. Kobourov
FCT
2009
Springer
13 years 11 months ago
Reachability in K3, 3-Free Graphs and K5-Free Graphs Is in Unambiguous Log-Space
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...
Thomas Thierauf, Fabian Wagner
ICNP
2005
IEEE
14 years 1 months ago
Simple Robotic Routing in Ad Hoc Networks
Position-based routing protocols in ad hoc networks combine a forwarding strategy with a recovery algorithm. The former fails when there are void regions or physical obstacles tha...
Daejoong Kim, Nicholas F. Maxemchuk