7 citations · 8 across the 22 of their papers we have counts for
6 papers · 1 filter
Cyclic impartial games with carry-on moves
Tomoaki Abuku, Alda Carvalho, Urban Larsson +3
In an impartial combinatorial game, both players have the same options in the game and all its subpositions. The classical Sprague-Grundy Theory was developed for short impartial g…
-Ending partisan rulesets
Hiroki Inazu, Shun-ichi Kimura, Koki Suetsugu
In this paper, we consider -ending partisan rulesets as a branch of combinatorial game theory. In these rulesets, the sets of options of both players are th…
Digraph Yama Nim
Hiyu Inoue, Shun-ichi Kimura, Hikaru Manabe +3
{\sc Yama Nim} is a variant of two piles {\sc Nim}. In this ruleset, the player chosses one of the piles and removes at least two tokens from the pile. In the same move, the player…
Combinatorial Games and the Golden Ratio on Digraphs
Tomoaki Abuku, Hiroki Inazu, Hiyu Inoue +4
We introduce a new combinatorial game called Triangle Game. In this game, a directed -cycle graph is given, and stones are placed on each vertex. The player chooses a directed e…
On the Sprague-Grundy values of games with a pass
Hikaru Manabe, Ryohei Miyadera, Koki Suetsugu
In this paper, we consider two-player impartial games with a pass-move. A disjunctive compound of games is a position in which, on each turn, the current player chooses one of the…
Extended circular nim
Koki Suetsugu
Circular nim is a variant of nim, in which there are piles of tokens arranged in a circle and each player, in their turn, chooses at most consecutive piles in th…