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math.CO2018
A central limit theorem for almost local additive tree functionals
Dimbinaina Ralaivaosaona, Matas Šileikis, Stephan Wagner
An additive functional of a rooted tree is a functional that can be calculated recursively as the sum of the values of the functional over the branches, plus a certain toll functio…
math.PR2018
A counterexample to the DeMarco-Kahn Upper Tail Conjecture
Matas Šileikis, Lutz Warnke
Given a fixed graph H, what is the (exponentially small) probability that the number X_H of copies of H in the binomial random graph G_{n,p} is at least twice its mean? Studied int…