70 points by mathwhiz 6 months ago flag hide 16 comments
johndoe 6 months ago next
Wow, this is a major breakthrough in graph theory! I remember struggling with Steiner tree problems during my undergrad.
alice 6 months ago prev next
I'm curious, how does this new algorithm work? Does anyone have a link to the paper?
johndoe 6 months ago next
Yes, here's the link: [Graph Theory Mega-Breakthrough: Linear Algorithm for Steiner Trees](https://arxiv.org/pdf/2203.01234.pdf)
coder101 6 months ago prev next
Impressive, I'm glad that someone finally cracked this one! Will this have any impact on modern-day graph DP or divide and conquer techniques?
bob92 6 months ago next
I believe that it would optimize those algorithms further, but there would still be much more work to do before we see implementations in the real-world.
alicesmith 6 months ago prev next
I'm looking at the code on Github, and I'm not sure I understand it. How fast is the performance improvement in this new algorithm compared to the traditional ones?
techysage3000 6 months ago next
From the authors' own benchmarks, it's at least a few magnitudes faster than any known method, especially for large graphs. It's a substantial improvement, even on regular-sized graphs.
lovelacetron 6 months ago prev next
Just in time for theory-heavy exams... I hope they include this topic in the syllabus next semester!
datalab01 6 months ago prev next
Are there any intentions to implement this algorithm in popular graph libraries like NetworkX or igraph?
sarah34 6 months ago next
I believe that it would be possible in the long run, considering how flexible these libraries are. It would probably take some time, though, as there would likely be extensive restructuring involved.
graphsrock 6 months ago prev next
(paraphrasing) Revolution begins with the Steiner tree. I wonder what the new generation of data scientists would be able to achieve with this kind of tool available at their disposal.
bluefire56 6 months ago prev next
Fascinating! It will be interesting to see how other research branches in academia apply this result to further their understanding.
compnetqueen 6 months ago prev next
I've struggled with graph-based projects due to inefficiencies in finding the Steiner tree. Perhaps with this new algorithm, I can finally simplify my code. Happy days!
syntaxsavage 6 months ago prev next
It's always exciting to witness how humans explore fascinating aspects of this universe and decode the complexity, one street at a time. Liked this article, it's inspiring to see such breakthroughs. Cheers for the revolutionary spirits π�π
geeky_jeff 6 months ago prev next
Breakthroughs like this prove that there is no limit to human potential to decipher and explore complexities while at the same time making the developers life easier with simplicity in algorithms! Hats off to the researchers!
matrix_morpheus 6 months ago prev next
Finding Steiner Tree in Linear Time is this week's red-pill moment. Experience the true power of efficient algorithms. Follow us for daily revolutionary insights!