V. Gurvich

activity

20232026

most citedGM-rule and its applications to impartial games

3 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing 2023 · math.COShow all

4 papers · 2 filters

math.CO2023

Screw discrete dynamical systems and their applications to exact slow NIM

Vladimir Gurvich, Mariya Naumova

Given integers $n, k, ℓ$ such that $0 < k < n, 1 < ℓ$ and an integer vector $x = (x_{1}, \dots, x_{n})$ ; denote by $m = m (x)$ the number of entries of $x$ that are multiple of $ℓ$ .…

math.CO2023★ 1 cited

Experimental Study of the Game Exact Nim(5, 2)

Vladimir Gurvich, Artem Parfenov, Michael Vyalyi

We compare to different extensions of the ancient game of nim: Moore's nim $(n, \leq k)$ and exact nim $(n, = k)$ . Given integers $n$ and $k$ such that $0 < k \leq n$ , we consider $n…

math.CO2023

On remoteness functions of k-NIM with k+1 piles in normal and in misère versions

Vladimir Gurvich, Vladislav Maximchuk, Georgy Miheenkov +1

Given integer $n$ and $k$ such that $0 < k \leq n$ and $n$ piles of stones, two players alternate turns. By one move it is allowed to choose any $k$ piles and remove exactly one st…

math.CO2023★ 3 cited

GM-rule and its applications to impartial games

Vladimir Gurvich, Mariya Naumova

Given integer $n \geq 1, ℓ \geq 2$ , and vector $x = (x_{1}, \dots, x_{n})$ that has an entry which is a multiple of $ℓ$ and such that $x_{1} \leq \dots \leq x_{n}$ , the GM-rule is…