2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145875We study self-consistent cosmological solutions for an Einstein Universe in a graph-based induced gravity model. The graph-based field theory has been proposed by the present authors to generalize dimensional deconstruction. In this paper, we consider self-consistent Einstein equations for a ``graph theory space''. Especially, we demonstrate specific results for cycle graphs.4 pages, 2 figures. A presentation given at JGRG17 (Nagoya, Japan), to appear in the proceedingsGeneral Relativity and Quantum CosmologyHigh Energy Physics - TheoryMathematical Physicstext