4 citations · 4 across the 3 of their papers we have counts for
3 papers
math.CO2026
A Subtraction Nim with a Pass
Urban Larsson, Hikaru Manabe, Ryohei Miyadera
We consider a subtraction Nim with subtraction set {s_1,s_2,s_3={2,4n,4n+2}, where n is a positive integer such that n >= 3. We do not treat the case that n=1 or n=2 in this articl…
math.CO2026
Additive Subtraction Games
Urban Larsson, Hikaru Manabe
We determine the full nim-value structure of additive subtraction games in the {\em primitive quadratic} regime. The problem appears in Winning Ways by Berlekamp et al. in 1982; it…
math.CO2007★ 4 cited
2-pile Nim with a Restricted Number of Move-size Imitations
Urban Larsson
We study a variation of the combinatorial game of 2-pile Nim. Move as in 2-pile Nim but with the following constraint: Suppose the previous player has just removed say tokens…