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math.CO2026
On the Burning Game: Nordhaus-Gaddum Bounds and Graph Products
Nina Chiarelli, Vesna Iršič Chenoweth, Marko Jakovac +2
We continue research on the burning game on graphs. Given a graph , two players, Burner and Staller, take turns in selecting vertices of to burn. All burned vertices spread…
math.CO2026
Patrolling cop vs omniscient robber
Nina Chiarelli, Paul Dorbec, Miloš Stojaković +1
We study a variant of the classical Cops and Robbers game with one cop and one robber. The cop follows a fixed walk on the graph, called a patrol, that is chosen before the game be…