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» Clustering on Complex Graphs
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GBRPR
2007
Springer
15 years 3 months ago
Constellations and the Unsupervised Learning of Graphs
Abstract. In this paper, we propose a novel method for the unsupervised clustering of graphs in the context of the constellation approach to object recognition. Such method is an E...
Boyan Bonev, Francisco Escolano, Miguel Angel Loza...
CORR
2007
Springer
116views Education» more  CORR 2007»
14 years 11 months ago
Complexity of some Path Problems in DAGs and Linear Orders
We investigate here the computational complexity of three natural problems in directed acyclic graphs. We prove their NP Completeness and consider their restrictions to linear orde...
Serge Burckel
JCO
2007
56views more  JCO 2007»
14 years 11 months ago
An unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure
This paper discusses the relation among four problems: graph testing, DNA complex screening, superimposed codes and secure key distribution. We prove a surprising equivalence relat...
H. B. Chen, Ding-Zhu Du, Frank K. Hwang
ICPR
2008
IEEE
15 years 6 months ago
Birkhoff polytopes, heat kernels and graph complexity
In this paper we use doubly stochastic matrices to establish a link between Birkhoff polytopes and heat kernels on graphs. Based on this analysis we construct a multi-dimensional ...
Francisco Escolano, Edwin R. Hancock, Miguel Angel...
GD
2009
Springer
15 years 3 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer