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» Threshold graphs, shifted complexes, and graphical complexes
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DM
2007
101views more  DM 2007»
13 years 7 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans
DCG
2011
13 years 2 months ago
Random Geometric Complexes
We study the expected topological properties of ˇCech and Vietoris-Rips complexes built on random points in Rd . We find higher dimensional analogues of known results for connect...
Matthew Kahle
DM
2011
264views Education» more  DM 2011»
13 years 2 months ago
Connectivity threshold and recovery time in rank-based models for complex networks
The World Wide Web may be viewed as a graph each of whose vertices corresponds to a static HTML web page, and each of whose edges corresponds to a hyperlink from one web page to an...
Pawel Pralat
FOCS
2010
IEEE
13 years 5 months ago
The Monotone Complexity of k-clique on Random Graphs
It is widely suspected that Erdos-R
Benjamin Rossman
UAI
2008
13 years 8 months ago
Complexity of Inference in Graphical Models
It is well-known that inference in graphical models is hard in the worst case, but tractable for models with bounded treewidth. We ask whether treewidth is the only structural cri...
Venkat Chandrasekaran, Nathan Srebro, Prahladh Har...