The game of Nim, which has been well known for many years, has numerous variations.
One such variation is Circular Nim, where piles of stones are arranged on a circumference …

Given a graph G with positive integer weights on the vertices, and a token placed on some
current vertex u, two players alternately remove a positive integer weight from u and then …

Circular Nim is a two-player impartial combinatorial game consisting of n stacks of tokens
placed in a circle. A move consists of choosing k consecutive stacks and taking at least one …

Simplicial nim games, a class of impartial games, have very interesting mathematical
properties. Winning strategies on a simplicial nim game can be determined by the set of …

Circular nim $ CN (m, k) $ is a variant of nim, in which there are $ m $ piles of tokens
arranged in a circle and each player, in their turn, chooses at most $ k $ consecutive piles in …

Slow Exact $ k $-Nim is a variant of the well-known game of Nim. The rules of this variant are
that in each move, $ k $ of the $ n $ stacks are selected and then one token is removed from …

The emperor sum of combinatorial games is discussed in this study. In this sum, a player
moves arbitrarily many times in one component. For every other component, the player …

The game of nim, with its simple rules, its elegant solution and its historical importance is the
quintessence of a combinatorial game, which is why it led to so many generalizations and …

Circular Nim is a two-player impartial combinatorial game consisting of n stacks of tokens
placed in a circle. A move consists of choosing k consecutive stacks and taking at least one …

In this paper, we considered impartial games on a simplicial complex. Each vertex of a given
simplicial complex acts as a position of an impartial game. Each player in turn chooses a …