10 citations · 31 across the 12 of their papers we have counts for
4 papers · 1 filter
Sprinkling with random regular graphs
Mikhail Isaev, Brendan D. McKay, Angus Southwell +1
We conjecture that the distribution of the edge-disjoint union of two random regular graphs on the same vertex set is asymptotically equivalent to a random regular graph of the com…
Large induced subgraphs of random graphs with given degree sequences
Angus Southwell, Nicholas Wormald
We study a random graph with given degree sequence , with the aim of characterising the degree sequence of the subgraph induced on a given set of vertices.…
The threshold of symmetry in random graphs with specified degree sequences
Lochlan Brick, Pu Gao, Angus Southwell
We give sufficient conditions under which a random graph with a specified degree sequence is symmetric or asymmetric. In the case of bounded degree sequences, our characterisation…
Distribution of tree parameters by martingale approach
Mikhail Isaev, Angus Southwell, Maksim Zhukovskii
For a uniform random labelled tree, we find the limiting distribution of tree parameters which are stable (in some sense) with respect to local perturbations of the tree structure.…