3 citations · 5 across the 12 of their papers we have counts for
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math.CO2024
Partition regularity of generalized Pythagorean pairs
Nikos Frantzikinakis, Oleksiy Klurman, Joel Moreira
We address partition regularity problems for homogeneous quadratic equations. A consequence of our main results is that, under natural conditions on the coefficients , for a…
math.CO2023
Partition regularity of Pythagorean pairs
Nikos Frantzikinakis, Oleksiy Klurman, Joel Moreira
We address a core partition regularity problem in Ramsey theory by proving that every finite coloring of the positive integers contains monochromatic Pythagorean pairs, i.e., $x,y\…
math.CO2018
On subsets of the hypercube with prescribed Hamming distances
Hao Huang, Oleksiy Klurman, Cosmin Pohoata
A celebrated theorem of Kleitman in extremal combinatorics states that a collection of binary vectors in with diameter has cardinality at most that of a Hamming ba…