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» Spanning Trees and Shortest Paths in Monge Graphs
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DAM
2008
83views more  DAM 2008»
13 years 7 months ago
Spanning forests and the golden ratio
For a graph G, let fij be the number of spanning rooted forests in which vertex j belongs to a tree rooted at i. In this paper, we show that for a path, the fij's can be expr...
Pavel Chebotarev
JDA
2006
184views more  JDA 2006»
13 years 7 months ago
Dynamic shortest paths and transitive closure: Algorithmic techniques and data structures
In this paper, we survey fully dynamic algorithms for path problems on general directed graphs. In particular, we consider two fundamental problems: dynamic transitive closure and...
Camil Demetrescu, Giuseppe F. Italiano
ICCV
2007
IEEE
14 years 2 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
SPAA
2004
ACM
14 years 1 months ago
Cache-oblivious shortest paths in graphs using buffer heap
We present the Buffer Heap (BH), a cache-oblivious priority queue that supports Delete-Min, Delete, and Decrease-Key operations in O( 1 B log2 N B ) amortized block transfers fro...
Rezaul Alam Chowdhury, Vijaya Ramachandran
ENTCS
2007
110views more  ENTCS 2007»
13 years 7 months ago
Algorithmic Techniques for Maintaining Shortest Routes in Dynamic Networks
In this paper, we survey algorithms for shortest paths in dynamic networks. Although research on this problem spans over more than three decades, in the last couple of years many ...
Camil Demetrescu, Giuseppe F. Italiano