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math.CO2026
Subgraph probabilities in random intersection graphs
Katarzyna Rybarczyk, Grzegorz Serafin
Since their introduction by Karoński, Scheinerman, and Singer-Cohen in 90's, random intersection graphs have attracted much attention, mostly due to their various applications. In…
math.CO2026
Arrangements of Consecutive Numbers in Mallows Permutations
Katarzyna Rybarczyk
We study the random variable that counts the number of specific arrangements of clustered consecutive numbers in permutations under the Mallows distribution. We provide an asymptot…