Questions tagged [iterated-rounding]

Iterated rounding technique has been recently used in approximation algorithms and can be used to design even the exact algorithms. This technique exploits the structural nature of the optimal extreme solutions of the linear programming formulation.

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Can you fix integral LP variables for a non-integral polytope without affecting the existence of integral optima?

Suppose I have a linear program $LP1=\{\mbox{Maximize }c^\top x \mid x\in \mathcal{P}\}$ for some polytope $\mathcal{P}\subseteq [0,1]^n$, which is known to have fractional extreme points. Suppose ...
• 341
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Iterative algorithms and Lyapunov functions

Consider an iterative algorithm of the form $x^{t+1} = x^t - \eta g(x^t)$. (..if necessary feel free to assume that a function $L$ is explicitly known such that $g = \frac{\partial L}{\partial x}$..). ...
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Concentration Bounds for Dependent Rounding

Consider the following random process which is defined on $n$ numbers $0\leq x_1,\ldots,x_n\leq 1$: At each step, pick an arbitrary number, say $x_i$. Then randomly (and independently) change its ...
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Is there a example of Iterative Rounding in Approximation Algorithms for vertex weighted Graphs?

I am referring to the "Iterative Rounding" technique used by Kamal Jain for Steiner Network problem to obtain $2$ approximation factor algorithm. Is there any example where this technique is used for ...
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