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Historic algorithms help unlock shortest-path problem breakthrough

181 pointsby nxtenalmost 2 years ago

4 comments

carterschonwaldalmost 2 years ago
<a href="https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2203.03456" rel="nofollow noreferrer">https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2203.03456</a> And <a href="https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2203.00671" rel="nofollow noreferrer">https:&#x2F;&#x2F;arxiv.org&#x2F;abs&#x2F;2203.00671</a> Are the relevant papers
ozarkeralmost 2 years ago
What’s an application where you’d absolutely have to have a graph with negative weights? Couldn’t you just preprocess the edges and normalize their weights?
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cvossalmost 2 years ago
What is meant by &quot;nodes&quot; in this article?<p>&gt; sum of the number of nodes and connections<p>&gt; Bellman-Ford instead needs many more steps: The total is based on the product of the number of nodes and vertices.<p>&gt; reduced the complexity to the square root of the number of vertices multiplied by the number of nodes<p>At first I thought it was a synonym for vertices, in the same way the article inconsistently uses &quot;connections&quot; for edges. But then &quot;nodes&quot; gets used in the same breath as &quot;vertices&quot; in a way that contradicts that hypothesis.
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pradnalmost 2 years ago
This is precisely the sort of article where a bit of notation and interactive graphics would go far in presenting the information. Anyone who can understand this article knows big-O notation. It&#x27;s silly to assume the article is more accessible just because it&#x27;s in English.