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math.CO2026
A short proof of Oblakov's theorem
Danila Cherkashin
We give a short proof that for a given planar set of terminals there is at most one locally minimal tree with prescribed directions at (i.e. two locally minimal trees canno…
math.CO2026
On uniform eventowns
Danila Cherkashin, Pavel Prozorov
Suppose that , and . We show that if a family of -subsets of an -set has only even pairwise intersections then $|\mathcal F| \leq \binom…
math.CO2026
Short proofs of three combinatorial results in the Johnson scheme
Danila Cherkashin, Yakov Shubin
In this note, we give short proofs of three theorems concerning extremal problems in the Johnson scheme, or, in other terminology, on -systems. The main result is a proof…