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CIC
2004
107views Communications» more  CIC 2004»
15 years 1 months ago
Hexagonal and Pruned Torus Networks as Cayley Graphs
Hexagonal mesh and torus, as well as honeycomb and certain other pruned torus networks, are known to belong to the class of Cayley graphs which are node-symmetric and possess othe...
Wenjun Xiao, Behrooz Parhami
RECOMB
2007
Springer
16 years 6 days ago
An Efficient and Accurate Graph-Based Approach to Detect Population Substructure
Currently, large-scale projects are underway to perform whole genome disease association studies. Such studies involve the genotyping of hundreds of thousands of SNP markers. One o...
Srinath Sridhar, Satish Rao, Eran Halperin
SODA
2010
ACM
201views Algorithms» more  SODA 2010»
15 years 9 months ago
Efficient Broadcast on Random Geometric Graphs
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...
JCO
2010
67views more  JCO 2010»
14 years 10 months ago
Galaxy cutsets in graphs
Given a network G = (V, E), we say that a subset of vertices S ⊆ V has radius r if it is spanned by a tree of depth at most r. We are interested in determining whether G has a cu...
Nicolas Sonnerat, Adrian Vetta
COMBINATORICA
2011
13 years 11 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller