Graph isomorphism problem-advance in complexity research

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Recent advancements in complexity research have been highlighted, particularly regarding the graph isomorphism problem, which is now more accessible due to a new algorithm. An article in Quanta magazine presents this development in a clear and engaging manner, making the topic approachable for undergraduates and even high school students. The algorithm provides insights into the problem without fully resolving it, emphasizing its significance in algorithm complexity studies. The discussion also notes the absence of dedicated forums for graph theory and complexity research, suggesting a need for better categorization in online platforms. Overall, this advancement represents a meaningful step in understanding a complex area of mathematics.
marcus
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There seems to have been a major step forward in complexity research. somebody wrote a pleasant understandable piece about it in Quanta magazine.
https://www.quantamagazine.org/20151214-graph-isomorphism-algorithm/

I gave the title an "intermediate" tag because the graph isomorphism problem is simple to state and easy to understand at Undergrad (even high school) level. And the new algorithm that gets a grip on it (without completely solving it) is also easy to describe in elementary terms.

So this makes for a surprisingly easy-to-read enjoyable article, even though the problem is one of the big non-trivial ones in the complexity of algorithms study area.

I didn't see a section of Math forum that is explicitly for graph theory---Topology seemed the closest. Also Topology forum has some threads about combinatorial questions. Nor did i see a section explicitly for complexity research. Like for papers bearing on the "P versus NP-complete" question. Or does this thread belong in the Computation section? If so feel free to move it.
 
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We all know the definition of n-dimensional topological manifold uses open sets and homeomorphisms onto the image as open set in ##\mathbb R^n##. It should be possible to reformulate the definition of n-dimensional topological manifold using closed sets on the manifold's topology and on ##\mathbb R^n## ? I'm positive for this. Perhaps the definition of smooth manifold would be problematic, though.

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