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ICN
2005
Springer
14 years 1 months ago
Fault Free Shortest Path Routing on the de Bruijn Networks
It is shown that the de Bruijn graph (dBG) can be used as an architecture for interconnection networks and a suitable structure for parallel computation. Recent works have classi...
Ngoc Chi Nguyen, Vo Dinh Minh Nhat, Sungyoung Lee
RSA
2010
118views more  RSA 2010»
13 years 6 months ago
Weight of a link in a shortest path tree and the Dedekind Eta function
The weight of a randomly chosen link in the shortest path tree on the complete graph with exponential i.i.d. link weights is studied. The corresponding exact probability generatin...
Piet Van Mieghem
COCOON
2001
Springer
14 years 27 days ago
Finding the Most Vital Node of a Shortest Path
In an undirected, 2-node connected graph G = (V, E) with positive real edge lengths, the distance between any two nodes r and s is the length of a shortest path between r and s in ...
Enrico Nardelli, Guido Proietti, Peter Widmayer
SWAT
2004
Springer
146views Algorithms» more  SWAT 2004»
14 years 1 months ago
Cache-Oblivious Data Structures and Algorithms for Undirected Breadth-First Search and Shortest Paths
We present improved cache-oblivious data structures and algorithms for breadth-first search and the single-source shortest path problem on undirected graphs with non-negative edge...
Gerth Stølting Brodal, Rolf Fagerberg, Ulri...
JDA
2006
184views more  JDA 2006»
13 years 8 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