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STACS
2010
Springer
16 years 1 months ago
Robust Fault Tolerant Uncapacitated Facility Location
In the uncapacitated facility location problem, given a graph, a set of demands and opening costs, it is required to find a set of facilities R, so as to minimize the sum of the c...
Shiri Chechik, David Peleg
ISSAC
2009
Springer
150views Mathematics» more  ISSAC 2009»
16 years 26 days ago
On finding multiplicities of characteristic polynomial factors of black-box matrices
We present algorithms and heuristics to compute the characteristic polynomial of a matrix given its minimal polynomial. The matrix is represented as a black-box, i.e., by a functi...
Jean-Guillaume Dumas, Clément Pernet, B. Da...
LION
2007
Springer
138views Optimization» more  LION 2007»
16 years 13 days ago
A Continuous Characterization of Maximal Cliques in k-Uniform Hypergraphs
Abstract. In 1965 Motzkin and Straus established a remarkable connection between the local/global maximizers of the Lagrangian of a graph G over the standard simplex ∆ and the ma...
Samuel Rota Bulò, Marcello Pelillo
FCT
2005
Springer
15 years 11 months ago
A Simple and Fast Min-cut Algorithm
We present an algorithm which calculates a minimum cut and its weight in an undirected graph with nonnegative real edge weights, n vertices and m edges, in time O( ` max (log n, mi...
Michael Brinkmeier
IPSN
2005
Springer
15 years 11 months ago
Coverage and hole-detection in sensor networks via homology
We consider coverage problems in sensor networks of stationary nodes with minimal geometric data. In particular, there are no coordinates and no localization of nodes. We introduc...
Robert Ghrist, Abubakr Muhammad