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JC
2007
94views more  JC 2007»
15 years 6 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
STOC
2007
ACM
119views Algorithms» more  STOC 2007»
16 years 6 months ago
Balanced max 2-sat might not be the hardest
We show that, assuming the Unique Games Conjecture, it is NPhard to approximate MAX 2-SAT within LLZ + , where 0.9401 < LLZ < 0.9402 is the believed approximation ratio of t...
Per Austrin
STOC
2003
ACM
171views Algorithms» more  STOC 2003»
16 years 6 months ago
Primal-dual meets local search: approximating MST's with nonuniform degree bounds
We present a new bicriteria approximation algorithm for the degree-bounded minimum-cost spanning tree problem: Given an undirected graph with nonnegative edge weights and degree b...
Jochen Könemann, R. Ravi
IPL
2010
115views more  IPL 2010»
15 years 4 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
SDM
2011
SIAM
414views Data Mining» more  SDM 2011»
14 years 9 months ago
Clustered low rank approximation of graphs in information science applications
In this paper we present a fast and accurate procedure called clustered low rank matrix approximation for massive graphs. The procedure involves a fast clustering of the graph and...
Berkant Savas, Inderjit S. Dhillon