Showing 2026Show all
2 papers · 1 filter
math.CO2026
Local large deviations for triangles in sparse random graphs
Jade Lintott, Will Perkins, Corrine Yap
We revisit a classic topic in probabilistic combinatorics, the lower-tail large-deviation problem for triangles in the random graph . Here we aim for first-order asymptotic…
math.CO2026
Diameters and mixing times for giant components of random graphs with given degrees
Louigi Addario-Berry, Bruce Reed, Corrine Yap
A sequence is a feasible degree sequence if there is a graph on such that has degree . For such a sequence, is a graph chosen uni…