Pitchayut Saengrungkongka

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20242026

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math.CO2026

Sparse $k$ -AP Covering Sets and the Arithmetic Kakeya Conjecture

Pitchayut Saengrungkongka

A subset $A \subseteq N_{0}$ is $k$ -AP covering if there exists a constant $n_{0}$ such that for every integer $x > n_{0}$ , there exists $d \in N_{0}$ such that $x-d, x-2d,\dots…

math.CO2026

Extremal $t$ -intersecting Families of Permutations for Large $t$

Pitchayut Saengrungkongka

A set of permutations of ${1, 2, \dots, n}$ is $t$ -intersecting if any two permutations agree on at least $t$ inputs. A recent work by Kupavskii, in the spirit of the Erdős-Ko-Rado…

Sparse k-AP Covering Sets and the Arithmetic Kakeya Conjecture

Extremal t-intersecting Families of Permutations for Large t

Sparse $k$ -AP Covering Sets and the Arithmetic Kakeya Conjecture

Extremal $t$ -intersecting Families of Permutations for Large $t$