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Summary of Refutation Of Spectral Graph Theory Conjectures with Search Algorithms), by Milo Roucairol and Tristan Cazenave


Refutation of Spectral Graph Theory Conjectures with Search Algorithms)

by Milo Roucairol, Tristan Cazenave

First submitted to arxiv on: 27 Sep 2024

Categories

  • Main: Artificial Intelligence (cs.AI)
  • Secondary: None

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
The proposed method uses search algorithms to automatically refute spectral graph theory conjectures, addressing limitations of existing approaches. By leveraging various search algorithms on a selection of conjectures from Graffiti, the authors are able to refute 12 previously refuted conjectures in seconds and one open conjecture (197) that was previously unresolved.
Low GrooveSquid.com (original content) Low Difficulty Summary
The researchers developed a new way to automatically prove or disprove mathematical guesses about graphs using search algorithms. This method is much faster than previous methods and can be used on larger graph sizes, making it useful for solving complex math problems.

Keywords

» Artificial intelligence