Graph isomorphism problem-advance in complexity research

Click For Summary
SUMMARY

The discussion highlights a significant advancement in complexity research regarding the graph isomorphism problem, as detailed in a Quanta magazine article. The new algorithm provides insights into the problem, which is accessible to undergraduate and even high school students. While the algorithm does not completely solve the problem, it offers a clearer understanding of its complexities. The conversation also notes the absence of dedicated forums for graph theory and complexity research within the Math forum.

PREREQUISITES
  • Understanding of graph theory concepts
  • Familiarity with algorithm complexity
  • Basic knowledge of combinatorial mathematics
  • Awareness of P versus NP-complete problems
NEXT STEPS
  • Research the latest developments in graph isomorphism algorithms
  • Explore the implications of the P versus NP-complete question
  • Study combinatorial optimization techniques
  • Learn about complexity classes in computational theory
USEFUL FOR

This discussion is beneficial for computer scientists, mathematicians, and students interested in algorithm complexity, particularly those focusing on graph theory and computational challenges.

marcus
Science Advisor
Homework Helper
Gold Member
Dearly Missed
Messages
24,752
Reaction score
795
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.
 
Last edited:

Similar threads

  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 13 ·
Replies
13
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 26 ·
Replies
26
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 33 ·
2
Replies
33
Views
9K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 5 ·
Replies
5
Views
5K