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Questions about the science and art of determining properties of algorithms, often including correctness, runtime and space usage. Use the [runtime-analysis] tag for questions about the runtime of algorithms.

10 votes
1 answer
2k views

Easy way to prove that this algorithm eventually terminates

Introduction and notations: Here is a new and simple version of my algorithm which seems to terminates (according to my experiments), and now I would like to prove that. Let the notation $x_i \in \m …
shn's user avatar
  • 221
6 votes
1 answer
223 views

Which potential function does this algorithm minimize or maximize?

Considering two sets $A, B$ containing some $p$-dimensional points $x \in \mathbb{R}^p$. Let $d_x^S = \min_{x' \in S \setminus \{x\}} \lVert \mathbf{x} - \mathbf{x'} \rVert$ denote the Euclidean dista …
shn's user avatar
  • 221