3 papers
math.NT2025
On generalizing the Van der Waerden theorem to some symmetric functions
Arie Bialostocki, Vladyslav Oles
Let be positive integers and , where is the ring of integers modulo . We almost complete providing the answer to the following problem,…
cs.CG2024
Efficient estimation of the modified Gromov-Hausdorff distance between unweighted graphs
Vladyslav Oles, Nathan Lemons, Alexander Panchenko
Gromov-Hausdorff distances measure shape difference between the objects representable as compact metric spaces, e.g. point clouds, manifolds, or graphs. Computing any Gromov-Hausdo…
cs.CG2024
Computing the Gromov--Hausdorff distance using gradient methods
Vladyslav Oles
The Gromov--Hausdorff distance measures the difference in shape between metric spaces and poses a notoriously difficult problem in combinatorial optimization. We introduce its quad…