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math.CO2024★ 1 cited
Positive co-degree densities and jumps
József Balogh, Anastasia Halfpap, Bernard Lidický +1
The minimum positive co-degree of a nonempty -graph , denoted by , is the largest integer such that for every -set , if is contai…
math.CO2024
Generalized Ramsey-Turán Numbers
József Balogh, Van Magnan, Cory Palmer
The Ramsey-Turán problem for asks for the maximum number of edges in an -vertex -free graph with independence number . In a natural generalization of the proble…
math.CO2024
Directed graphs without rainbow stars
Daniel Gerbner, Andrzej Grzesik, Cory Palmer +1
In a rainbow version of the classical Turán problem one considers multiple graphs on a common vertex set, thinking of each graph as edges in a distinct color, and wants to determin…