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ICML
2010
IEEE
14 years 10 months ago
Finding Planted Partitions in Nearly Linear Time using Arrested Spectral Clustering
We describe an algorithm for clustering using a similarity graph. The algorithm (a) runs in O(n log3 n + m log n) time on graphs with n vertices and m edges, and (b) with high pro...
Nader H. Bshouty, Philip M. Long
MST
2011
231views Hardware» more  MST 2011»
14 years 15 days ago
On the Complexity of Matroid Isomorphism Problem
We study the complexity of testing if two given matroids are isomorphic. The problem is easily seen to be in Σ p 2. In the case of linear matroids, which are represented over pol...
B. V. Raghavendra Rao, Jayalal M. N. Sarma
77
Voted
SODA
2004
ACM
128views Algorithms» more  SODA 2004»
14 years 11 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
190
Voted
ICDE
2008
IEEE
203views Database» more  ICDE 2008»
15 years 11 months ago
Training Linear Discriminant Analysis in Linear Time
Linear Discriminant Analysis (LDA) has been a popular method for extracting features which preserve class separability. It has been widely used in many fields of information proces...
Deng Cai, Xiaofei He, Jiawei Han
ICALP
2011
Springer
14 years 1 months ago
Steiner Transitive-Closure Spanners of Low-Dimensional Posets
Given a directed graph G = (V, E) and an integer k ≥ 1, a Steiner k-transitive-closure-spanner (Steiner k-TC-spanner) of G is a directed graph H = (VH , EH ) such that (1) V ⊆ ...
Piotr Berman, Arnab Bhattacharyya, Elena Grigoresc...