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» Large independent sets in regular graphs of large girth
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DAM
2007
81views more  DAM 2007»
14 years 9 months ago
Graphs, partitions and Fibonacci numbers
The Fibonacci number of a graph is the number of independent vertex subsets. In this paper, we investigate trees with large Fibonacci number. In particular, we show that all trees...
Arnold Knopfmacher, Robert F. Tichy, Stephan Wagne...
UAI
2008
14 years 11 months ago
Discovering Cyclic Causal Models by Independent Components Analysis
We generalize Shimizu et al's (2006) ICA-based approach for discovering linear non-Gaussian acyclic (LiNGAM) Structural Equation Models (SEMs) from causally sufficient, conti...
Gustavo Lacerda, Peter Spirtes, Joseph Ramsey, Pat...
MLQ
2011
14 years 4 months ago
Weak Borel chromatic numbers
Given a graph G whose set of vertices is a Polish space X, the weak Borel chromatic number of G is the least size of a family of pairwise disjoint G-independent Borel sets that cov...
Stefan Geschke
CRYPTO
2012
Springer
268views Cryptology» more  CRYPTO 2012»
13 years 2 days ago
Secret Sharing Schemes for Very Dense Graphs
A secret-sharing scheme realizes a graph if every two vertices connected by an edge can reconstruct the secret while every independent set in the graph does not get any informatio...
Amos Beimel, Oriol Farràs, Yuval Mintz
CORR
2010
Springer
185views Education» more  CORR 2010»
14 years 9 months ago
Estimating and Sampling Graphs with Multidimensional Random Walks
Estimating characteristics of large graphs via sampling is a vital part of the study of complex networks. Current sampling methods such as (independent) random vertex and random w...
Bruno F. Ribeiro, Donald F. Towsley