The space of permutation pseudographs is a probabilistic model of 2-regular pseudographs on n vertices, where a pseudograph is produced by choosing a permutation of {1, 2, . . . ...
Catherine S. Greenhill, Svante Janson, Jeong Han K...
The network discovery (verification) problem asks for a minimum subset Q V of queries in an undirected graph G = (V, E) such that these queries discover all edges and non-edges o...
Thomas Erlebach, Alexander Hall, Michael Hoffmann ...
—It is important in communication networks to use routes that are as short as possible (i.e have low stretch) while keeping routing tables small. Recent advances in compact routi...
We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertic...
The Wiener index is analyzed for random recursive trees and random binary search trees in the uniform probabilistic models. We obtain the expectations, asymptotics for the varianc...