2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/23552The distribution of unicyclic components in a random graph is obtained analytically. The number of unicyclic components of a given size approaches a self-similar form in the vicinity of the gelation transition. At the gelation point, this distribution decays algebraically, U_k ~ 1/(4k) for k>>1. As a result, the total number of unicyclic components grows logarithmically with the system size.4 pages, 2 figuresStatistical MechanicsDisordered Systems and Neural NetworksData Structures and AlgorithmsProbabilitytext