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» On Routing in Circulant Graphs
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INFOCOM
2012
IEEE
11 years 9 months ago
Scalable routing in 3D high genus sensor networks using graph embedding
—We study scalable routing for a sensor network deployed in complicated 3D settings such as underground tunnels in gas system or water system. The nodes are in general 3D space b...
Xiaokang Yu, Xiaotian Yin, Wei Han, Jie Gao, Xianf...
CORR
2012
Springer
228views Education» more  CORR 2012»
12 years 3 months ago
Faster Approximate Distance Queries and Compact Routing in Sparse Graphs
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...
Rachit Agarwal, Brighten Godfrey, Sariel Har-Peled
DCC
2011
IEEE
13 years 2 months ago
Directed graph representation of half-rate additive codes over GF(4)
We show that (n, 2n ) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to ...
Lars Eirik Danielsen, Matthew G. Parker
APPML
2007
154views more  APPML 2007»
13 years 7 months ago
Comparison of distances between measures
The problem of optimal transportation between a set of sources and a set of wells has become recently the object of new mathematical models generalizing the Monge-Kantorovich prob...
Jean-Michel Morel, Filippo Santambrogio
JGT
2010
103views more  JGT 2010»
13 years 5 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino