This thesis explores parity graphs, which have similar properties to Mini Lights Out. In the 2001 article 'Easy Solution to Mini Lights Out,' Missigman and Weida define the parity of a light and use that definition to present a simple solution to the game.

Mini Lights Out is a variation of Lights Out played on a 4x4 grid of lights. The game has also been studied in terms of σ +-automata and domination theory. Arangala and MacDonald have studied variations of Lights Out with different configurations of lights. Torrence examined games that can be solved simply by pressing all the lights that were on in the initial configuration. Anderson and Feil used linear algebra to determine the initial states of the game that are solvable. This game has been studied in detail from a wide variety of perspectives. The goal of the game is to turn all the lights off. Whenever a light is pressed, the light switches states along with all of the adjacent lights. This game consists of a 5x5 grid of lights with the state of each light being either on or off. One such game is Lights Out, which was released by Tiger Electronics in 1995. Games and puzzles are important to mathematicians because they provide a fun and engaging environment in which to study complex mathematical concepts.

Download tiger electronics lights out