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math.CO2022★ 1 cited
Thresholds for the monochromatic clique transversal game
Csilla Bujtás, Pakanun Dokyeesun, Sandi Klavžar
We study a recently introduced two-person combinatorial game, the -monochromatic clique transversal game which is played by Alice and Bob on a graph . As we observe, this…
math.CO2022★ 1 cited
Fast winning strategies for Staller in the Maker-Breaker domination game
Csilla Bujtás, Pakanun Dokyeesun
The Maker-Breaker domination game is played on a graph by two players, called Dominator and Staller, who alternately choose a vertex that has not been played so far. Dominator…
math.CO2021
Optimal strategies in fractional games: vertex cover and domination
Csilla Bujtás, Günter Rote, Zsolt Tuza
In a hypergraph with vertex set and edge set , a real-valued function is a fractional transversal if for every edge . I…