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NETWORKING
2008
13 years 11 months ago
On the Robustness of Complex Networks by Using the Algebraic Connectivity
The second smallest eigenvalue of the Laplacian matrix, also known as the algebraic connectivity, plays a special role for the robustness of complex networks since it measures the ...
A. Jamakovic, Piet Van Mieghem
IPPS
2009
IEEE
14 years 4 months ago
On the complexity of mapping pipelined filtering services on heterogeneous platforms
In this paper, we explore the problem of mapping filtering services on large-scale heterogeneous platforms. Two important optimization criteria should be considered in such a fra...
Anne Benoit, Fanny Dufossé, Yves Robert
COCOON
2009
Springer
14 years 4 months ago
Convex Recoloring Revisited: Complexity and Exact Algorithms
We take a new look at the convex path recoloring (CPR), convex tree recoloring (CTR), and convex leaf recoloring (CLR) problems through the eyes of the independent set problem. Th...
Iyad A. Kanj, Dieter Kratsch
FOCS
1991
IEEE
14 years 1 months ago
Lower Bounds for the Complexity of Reliable Boolean Circuits with Noisy Gates
We prove that the reliable computation of any Boolean function with sensitivity s requires Ω(s log s) gates if the gates of the circuit fail independently with a fixed positive...
Anna Gál
APAL
2011
13 years 5 months ago
The complexity of central series in nilpotent computable groups
The terms of the upper and lower central series of a nilpotent computable group have computably enumerable Turing degree. We show that the Turing degrees of these terms are indepe...
Barbara F. Csima, Reed Solomon