  We study self-consistent static solutions for an Einstein universe in a
graph-based induced gravity. In the generalization of the deconstruction model
based on the graph, the eigenvalues of the graph Laplacian and the adjacent
matrix gives the mass spectrum the particles. Thus we can easily control UV
divergences at one-loop level in such a model. We use the calculation method
with the spectrum distribution function of the graph and search for the static
solution supported by the degenerate pressure of the fermion (at zero
temperature). The report is based on arXiv:1110.5697.
