4 papers
Forests of chord diagrams with a given number of trees
Huseyin Acan
In this short note, we find the number of forests of chord diagrams with a given number of trees and a given number of chords.
On the covariances of outdegrees in random plane recursive trees
Hüseyin Acan, Paweł Hitczenko
In 2005 Janson, extending earlier work of Mahmoud, Smythe, and Szymański, established the joint asymptotic normality of the outdegrees of a random plane recursive tree. In particul…
On a memory game and preferential attachment graphs
Huseyin Acan, Pawel Hitczenko
In a recent paper Velleman and Warrington analyzed the expected values of some of the parameters in a memory game, namely, the length of the game, the waiting time for the first ma…
Formation of a giant component in the intersection graph of a random chord diagram
Huseyin Acan, Boris Pittel
We study the number of chords and the number of crossings in the largest component of a random chord diagram when the chords are sparsely crossing. This is equivalent to studying t…