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math.CO2023
On the class reconstruction number of trees
Ilia Krasikov, Yehuda Roditty, Bhalchandra D. Thatte
Harary and Lauri conjectured that the class reconstruction number of trees is 2, that is, each tree has two unlabelled vertex-deleted subtrees that are not both in the deck of any…
math.CA2023
On Turán inequality for ultraspherical polynomials
Ilia Krasikov
We show that the normalised ultraspherical polynomials, , satisfy the following stronger version of Turán inequality, $$|x|^θ\left(G_n^{(λ)}…