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CORR
2008
Springer
100views Education» more  CORR 2008»
15 years 15 days ago
A note on regular Ramsey graphs
We prove that there is an absolute constant C > 0 so that for every natural n there exists a trianglefree regular graph with no independent set of size at least C n log n.
Noga Alon, Sonny Ben-Shimon, Michael Krivelevich
87
Voted
COMBINATORICS
2006
109views more  COMBINATORICS 2006»
15 years 14 days ago
The Strongly Regular (45, 12, 3, 3) Graphs
Using two backtrack algorithms based on different techniques, designed and implemented independently, we were able to determine up to isomorphism all strongly regular graphs with ...
Kris Coolsaet, Jan Degraer, Edward Spence
82
Voted
EJC
2007
15 years 12 days ago
Representations of directed strongly regular graphs
We develop a theory of representations in Rm for directed strongly regular graphs, which gives a new proof of a nonexistence condition of Jørgensen [8]. We also describe some new...
Chris D. Godsil, Sylvia A. Hobart, William J. Mart...
94
Voted
TIP
2008
130views more  TIP 2008»
15 years 10 days ago
Nonlocal Discrete Regularization on Weighted Graphs: A Framework for Image and Manifold Processing
We introduce a nonlocal discrete regularization framework on weighted graphs of the arbitrary topologies for image and manifold processing. The approach considers the problem as a...
Abderrahim Elmoataz, Olivier Lezoray, Sébas...
112
Voted
SCALESPACE
2007
Springer
15 years 6 months ago
Discrete Regularization on Weighted Graphs for Image and Mesh Filtering
We propose a discrete regularization framework on weighted graphs of arbitrary topology, which unifies image and mesh filtering. The approach considers the problem as a variation...
Sébastien Bougleux, Abderrahim Elmoataz, Ma...