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We study self-consistent cosmological solutions for an Einstein Universe in agraph-based induced gravity model. The graph-based field theory has beenproposed by the present authors to generalize dimensional deconstruction. Inthis paper, we consider self-consistent Einstein equations for a ``graph theoryspace''. Especially, we demonstrate specific results for cycle graphs.

Induced Gravity in Deconstructed Space at Finite Temperature -- Self-consistent Einstein Universe