From the 2 of 4 linked papers with an AI index.
4 papers
A Census of New Snake-in-the-Box Records
Paul Orland, Lucas Fagan, Michele Tarquini +7
The paper presents new longest induced (chordless) paths, called snakes, in hypercube graphs for dimensions 9 through 13, thereby improving the known lower bounds for the snake-in-…
fkcompute: an efficient invariant calculator
Paul Orland, Davide Passaro, Lara San MartÃn Suárez +2
The paper presents fkcompute, an open‑source tool for efficiently calculating the Gukov–Manolescu invariant of links given by braid presentations, and releases the first public dat…
Hierarchical Reinforcement Learning for Sparse-Reward Search in Commutative Algebra
Giorgi Butbaia, Paul Orland, Coco Huang +7
Applying machine learning techniques to solving long-standing mathematical conjectures can be particularly challenging due to their extreme reward sparsity. As an illustrative exam…
Quantum Invariants and Fiberedness
Paul Orland, Lara San MartÃn Suárez, Toby Saunders-A'Court +1
We explore the topological significance of the Gukov-Manolescu knot series . We show that the leading coefficient of is a monomial and express its exponent in terms of t…