3 papers
math.CO2025
Maker-Breaker total domination number
Athira Divakaran, Tijo James, Sandi Klavžar +1
The Maker-Breaker total domination number, , of a graph is introduced as the minimum number of moves of Dominator to win the Maker-Breaker total domination gam…
math.CO2025
Maker-Breaker domination game critical graphs
Athira Divakaran, Tanja Dravec, Tijo James +2
The Maker-Breaker domination game (MBD game) is a two-player game played on a graph by Dominator and Staller. They alternately select unplayed vertices of . The goal of Domi…
math.CO2024
Maker-Breaker domination game played on corona products of graphs
Athira Divakaran, Tijo James, Sandi Klavžar +1
In the Maker-Breaker domination game, Dominator and Staller play on a graph by taking turns in which each player selects a not yet played vertex of . Dominator's goal is to…