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» The metamathematics of random graphs
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COMBINATORICS
2000
88views more  COMBINATORICS 2000»
14 years 9 months ago
Note on Sparse Random Graphs and Cover Graphs
It is shown in this note that with high probability it is enough to destroy all triangles in order to get a cover graph from a random graph Gn,p with p log n/n for any constant ...
Tom Bohman, Alan M. Frieze, Miklós Ruszink&...
ARSCOM
2004
104views more  ARSCOM 2004»
14 years 9 months ago
Complete Minors in Cubic Graphs with few short Cycles and Random Cubic Graphs
We first prove that for any fixed k a cubic graph with few short cycles contains a Kk-minor. This is a direct generalisation of a result on girth by Thomassen. We then use this the...
Klas Markstrom
IPPS
1998
IEEE
15 years 2 months ago
Ultrafast Randomized Parallel Construction and Approximation Algorithms for Spanning Forests in Dense Graphs
We present a rst randomized Ologk n time and On+m work CRCWPRAM algorithm for nding a spanning forest of an undirected dense graph with n vertices. Furthermore we construct a rando...
Anders Dessmark, Carsten Dorgerloh, Andrzej Lingas...
CSDA
2010
124views more  CSDA 2010»
14 years 9 months ago
Statistical inference on attributed random graphs: Fusion of graph features and content
Abstract: Fusion of information from graph features and content can provide superior inference for an anomaly detection task, compared to the corresponding content-only or graph fe...
John Grothendieck, Carey E. Priebe, Allen L. Gorin
CORR
2008
Springer
149views Education» more  CORR 2008»
14 years 9 months ago
Phase Transitions on Fixed Connected Graphs and Random Graphs in the Presence of Noise
In this paper, we study phase transition behavior emerging from the interactions among multiple agents in the presence of noise. We propose a simple discrete-time model in which a...
Jialing Liu, Vikas Yadav, Hullas Sehgal, Joshua M....