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DM
2006
92views more  DM 2006»
13 years 7 months ago
Minimal triangulations of graphs: A survey
Any given graph can be embedded in a chordal graph by adding edges, and the resulting chordal graph is called a triangulation of the input graph. In this paper we study minimal tr...
Pinar Heggernes
COMBINATORICA
2007
117views more  COMBINATORICA 2007»
13 years 7 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
PROPERTYTESTING
2010
13 years 5 months ago
Transitive-Closure Spanners: A Survey
We survey results on transitive-closure spanners and their applications. Given a directed graph G = (V, E) and an integer k 1, a k-transitive-closure-spanner (k-TC-spanner) of G ...
Sofya Raskhodnikova
ICML
2009
IEEE
14 years 8 months ago
Sparse Gaussian graphical models with unknown block structure
Recent work has shown that one can learn the structure of Gaussian Graphical Models by imposing an L1 penalty on the precision matrix, and then using efficient convex optimization...
Benjamin M. Marlin, Kevin P. Murphy
CORR
2011
Springer
198views Education» more  CORR 2011»
13 years 2 months ago
Kron Reduction of Graphs with Applications to Electrical Networks
Abstract. Consider a weighted and undirected graph, possibly with self-loops, and its corresponding Laplacian matrix, possibly augmented with additional diagonal elements correspon...
Florian Dörfler, Francesco Bullo