Burning game

 

The burning game is a two-player game on a graph, motivated by the burning and cooling processes. In this talk we will introduce the game and establish some of its basic properties, consider the Continuation Principle and its corollaries, give the general upper bound for the game burning number and comment on its relation to the burning number conjecture, and mention several other known results about the game.

Joint work with Nina Chiarelli, Marko Jakovac, William B. Kinnersley and Mirjana Mikalački.