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IAJIT
2011
13 years 1 months ago
On the genus of pancake network
: Both the pancake graph and star graph are Cayley graphs and are especially attractive for parallel processing. They both have sublogarithmic diameter, and are fairly sparse compa...
Quan T. Nguyen, Saïd Bettayeb
ENDM
2007
75views more  ENDM 2007»
13 years 9 months ago
Graph classes with given 3-connected components: asymptotic counting and critical phenomena
Fix a family T of 3-connected graphs, and let G be the class of graphs whose 3connected components are the graphs in T . We present a general framework for analyzing such graph cl...
Omer Giménez, Marc Noy, Juan José Ru...
CONEXT
2007
ACM
14 years 1 months ago
The diameter of opportunistic mobile networks
Portable devices have more data storage and increasing communication capabilities everyday. In addition to classic infrastructure based communication, these devices can exploit hu...
Augustin Chaintreau, Abderrahmen Mtibaa, Laurent M...
CCCG
2010
13 years 11 months ago
Some properties of higher order delaunay and gabriel graphs
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
Prosenjit Bose, Sébastien Collette, Ferran ...
SWAT
2010
Springer
242views Algorithms» more  SWAT 2010»
13 years 8 months ago
Minimizing the Diameter of a Network Using Shortcut Edges
We study the problem of minimizing the diameter of a graph by adding k shortcut edges, for speeding up communication in an existing network design. We develop constant-factor appro...
Erik D. Demaine, Morteza Zadimoghaddam