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New record set for snake-in-the-box problem with novel algorithms

Researchers have established a new record for the snake-in-the-box problem, finding a length-191 snake in dimension n=9. This discovery improves upon a previous record of 190 that had stood for 14 years and also sets new lower bounds for dimensions 10-13. The breakthrough was achieved through the introduction of "snakepits" to expand the search space and a novel algorithm called Beam Anchor, which utilizes search-supervised learned construction to find multiple variations of the length-190 snakes. AI

IMPACT Introduces novel algorithms and benchmarks that could influence future research in combinatorial optimization and graph theory.

RANK_REASON The cluster describes a new academic paper detailing a mathematical discovery and algorithmic improvements. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New record set for snake-in-the-box problem with novel algorithms

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The cluster describes a new academic paper detailing a mathematical discovery and algorithmic improvements. [lever_c_demoted from research: ic=1 ai=0.4]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Paul Orland, Lucas Fagan, Michele Tarquini, Davide Passaro, Maksymilian Manko, Elli Heyes, Angus Gruen, Giorgi Butbaia, Justin Tan, Sergei Gukov ·

    New Snake-in-the-Box Records via Snakepit Surgery and Learned Construction

    arXiv:2607.15270v3 Announce Type: cross Abstract: The snake-in-the-box problem asks for a longest induced path in the hypercube graph $Q_n$. We find a length-191 snake in dimension $n=9$, the lowest dimension where the maximum is unknown, improving the previous record of 190 that…