3 papers
math.CO2025
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…
math.CO2024
A brief conversation about subtraction games
Urban Larsson, Indrajit Saha
In this survey we revisit {\sc finite subtraction}, one-heap subtraction games on finite rulesets. The main purpose is to give a general overview of the development, and specifical…
math.CO2023
Enforce and selective operators of combinatorial games
Tomoaki Abuku, Shun-ichi Kimura, Hironori Kiya +4
We consider an {\em enforce operator} on impartial rulesets similar to the Muller Twist and the comply/constrain operator of Smith and St\u anic\u a, 2002. Applied to the rulesets…