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SeanLuke
on April 25, 2022
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Maximum Flow and Minimum-Cost Flow in Almost-Linea...
What does $m^{1 + O(1)}$ time mean exactly? This could be m^5000 for all we knew. How is this almost-linear, and how can it be guaranteed?
okintheory
on April 25, 2022
[–]
It's little-oh, not Big-Oh (o(1) is not O(1)). Instead $f(n) = o(1)$ means $\lim_{n \to infty f(n)} = 0$. So $m^{1+o(1)}$ is smaller than $m^1.00001$ for large enough m.
SeanLuke
on April 25, 2022
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Got it. I had missed the little-o.
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