2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227447We show that a sufficiently large graph of bounded degree can be decomposed into quasi-homogeneous pieces. The result can be viewed as a "finitarization" of the classical Farrell-Varadarajan Ergodic Decomposition Theorem.Corrected an error in the proof of the Homogeneity Lemma. A new result is proved about edge-colorings of convergent graph sequencesCombinatoricsDynamical Systems05C99; 37A20An analogue of the Szemeredi Regularity Lemma for bounded degree graphstext