39 citations · 62 across the 8 of their papers we have counts for
8 papers
Congruence properties of depths in some random trees
Svante Janson
Consider a random recusive tree with n vertices. We show that the number of vertices with even depth is asymptotically normal as n tends to infinty. The same is true for the number…
Rounding of continuous random variables and oscillatory asymptotics
Svante Janson
We study the characteristic function and moments of the integer-valued random variable , where is a continuous random variables. The results can be regarded…
A simple solution to the k-core problem
Svante Janson, Malwina Luczak
We study the k-core of a random (multi)graph on n vertices with a given degree sequence. We let n tend to infinity. Then, under some regularity conditions on the degree sequences,…
Rainbow Hamilton cycles in random regular graphs
Svante Janson, Nicholas Wormald
A rainbow subgraph of an edge-coloured graph has all edges of distinct colours. A random d-regular graph with d even, and having edges coloured randomly with d/2 of each of n colou…
A point process describing the component sizes in the critical window of the random graph evolution
Svante Janson, Joel Spencer
We study a point process describing the asymptotic behavior of sizes of the largest components of the random graph G(n,p) in the critical window p=n^{-1}+lambda n^{-4/3}. In partic…
Individual displacements in hashing with coalesced chains
Svante Janson
We study the asymptotic distribution of the displacements in hashing with coalesced chains, for both late-insertion and early-insertion. Asymptotic formulas for means and variances…