N. Beluhov

activity

20132026

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math.CO2021

Induction on Descent in Leaper Graphs

Nikolai Beluhov

We construct an infinite ternary tree $L$ whose root is the knight and whose vertices are all skew free leapers. We define the descent of a skew free leaper to be its "a…

math.CO2021

One Curious Identity Counting Graceful Labelings

Nikolai Beluhov

Let $a$ and $b$ be positive integers with prime factorisations $a = p_{1}^{n} p_{2}^{n}$ and $b = q_{1}^{n} q_{2}^{n}$ . We prove that the number of essentially distinct $α$ -graceful labelings of the…