**Equipartitions of graphs**.

D. Eppstein, J. Feigenbaum, and C.L. Li.

*Discrete Mathematics*91 (3): 239–248, 1991.Considers partitions of the vertices of a graph into equal subsets, with few pairs of subsets connected by edges. (Equivalently we view the graph as a subgraph of a product in which one factor is sparse.) A random graph construction shows that such a factorization does not always exist.

Journals – Publications – David Eppstein – Theory Group – Inf. & Comp. Sci. – UC Irvine

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