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» Expanders are universal for the class of all spanning trees
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SODA
2012
ACM
213views Algorithms» more  SODA 2012»
12 years 1 months ago
Expanders are universal for the class of all spanning trees
Given a class of graphs F, we say that a graph G is universal for F, or F-universal, if every H ∈ F is contained in G as a subgraph. The construction of sparse universal graphs ...
Daniel Johannsen, Michael Krivelevich, Wojciech Sa...
BMCBI
2004
181views more  BMCBI 2004»
13 years 11 months ago
Iterative class discovery and feature selection using Minimal Spanning Trees
Background: Clustering is one of the most commonly used methods for discovering hidden structure in microarray gene expression data. Most current methods for clustering samples ar...
Sudhir Varma, Richard Simon
ALGOSENSORS
2009
Springer
13 years 9 months ago
Brief Announcement: Universal Data Aggregation Trees for Sensor Networks in Low Doubling Metrics
Abstract. We describe a novel approach for constructing a single spanning tree for data aggregation towards a sink node. The tree is universal in the sense that it is static and in...
Srinivasagopalan Srivathsan, Costas Busch, S. Sith...
RSA
2011
126views more  RSA 2011»
13 years 6 months ago
Local resilience of almost spanning trees in random graphs
We prove that for fixed integer D and positive reals α and γ, there exists a constant C0 such that for all p satisfying p(n) ≥ C0/n, the random graph G(n, p) asymptotically a...
József Balogh, Béla Csaba, Wojciech ...
CORR
2008
Springer
138views Education» more  CORR 2008»
13 years 11 months ago
Computing Minimum Spanning Trees with Uncertainty
Abstract. We consider the minimum spanning tree problem in a setting where information about the edge weights of the given graph is uncertain. Initially, for each edge e of the gra...
Thomas Erlebach, Michael Hoffmann 0002, Danny Kriz...