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» Component factors with large components in graphs
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JMLR
2012
11 years 11 months ago
Exact Covariance Thresholding into Connected Components for Large-Scale Graphical Lasso
We consider the sparse inverse covariance regularization problem or graphical lasso with regularization parameter λ. Suppose the sample covariance graph formed by thresholding th...
Rahul Mazumder, Trevor Hastie
AIRWEB
2009
Springer
14 years 3 months ago
Tag spam creates large non-giant connected components
Spammers in social bookmarking systems try to mimick bookmarking behaviour of real users to gain the attention of other users or search engines. Several methods have been proposed...
Nicolas Neubauer, Robert Wetzker, Klaus Obermayer
RSA
2008
118views more  RSA 2008»
13 years 8 months ago
The cover time of the giant component of a random graph
We study the cover time of a random walk on the largest component of the random graph Gn,p. We determine its value up to a factor 1 + o(1) whenever np = c > 1, c = O(ln n). In ...
Colin Cooper, Alan M. Frieze
DM
2007
149views more  DM 2007»
13 years 8 months ago
Even subgraphs of bridgeless graphs and 2-factors of line graphs
By Petersen’s theorem, a bridgeless cubic multigraph has a 2-factor. H. Fleischner generalised this result to bridgeless multigraphs of minimum degree at least three by showing ...
Bill Jackson, Kiyoshi Yoshimoto
JGT
2007
99views more  JGT 2007»
13 years 8 months ago
The upper bound of the number of cycles in a 2-factor of a line graph
Let G be a simple graph with order n and minimum degree at least two. In this paper, we prove that if every odd branch-bond in G has an edge-branch, then its line graph has a 2-fa...
Jun Fujisawa, Liming Xiong, Kiyoshi Yoshimoto, She...