2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/162166In this paper, first-passage probability of Markov chains is used to get a strict proof of the existence of degree distribution of the LCD model presented by Bollobas (Random Structures and Algorithms 18(2001)). Also, a precise expression of degree distribution is presented.10 pagesProbability05C80;68M10Stability of the LCD Modeltext