Séminaire de Probabilités commun ICJ/UMPA

Connectivity Thresholds for graphs with a fixed degree sequence

by Bruce Reed

salle 435 (ENS, UMPAs)

salle 435



We consider the probability space of random graphs with a fixed degree sequence
(the degree of a vertex in a graph is the number of edges incident to it; the degree sequence
specifies the degree of each vertex). We characterize for which degree sequences a uniformly
random graph with the given degree sequence has a giant component (a component with a
constant fraction of the vertices) almost surely. (Joint with Joos, Rautenbach, and Perarnau.)