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ICASSP
2011
IEEE
13 years 2 months ago
Downsampling graphs using spectral theory
In this paper we present methods for downsampling datasets defined on graphs (i.e., graph-signals) by extending downsampling results for traditional N-dimensional signals. In par...
Sunil K. Narang, Antonio Ortega
JDA
2006
98views more  JDA 2006»
13 years 11 months ago
Completely connected clustered graphs
Abstract. Planar drawings of clustered graphs are considered. We introduce the notion of completely connected clustered graphs, i.e. hierarchically clustered graphs that have the p...
Sabine Cornelsen, Dorothea Wagner
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 11 months ago
The overlap number of a graph
An overlap representation is an assignment of sets to the vertices of a graph in such a way that two vertices are adjacent if and only if the sets assigned to them overlap. The ov...
Bill Rosgen, Lorna Stewart
CORR
2007
Springer
115views Education» more  CORR 2007»
13 years 11 months ago
FPRAS for computing a lower bound for weighted matching polynomial of graphs
We give a fully polynomial randomized approximation scheme to compute a lower bound for the matching polynomial of any weighted graph at a positive argument. For the matching poly...
Shmuel Friedland
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
13 years 10 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...