Journal of Symbolic Logic

Forbidden Subgraphs and Forbidden Substructures

Gregory Cherlin and Niandong Shi

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The problem of the existence of a universal structure omitting a finite set of forbidden substructures is reducible to the corresponding problem in the category of graphs with a vertex coloring by two colors. It is not known whether this problem reduces further to the category of ordinary graphs. It is also not known whether these problems are decidable.

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J. Symbolic Logic, Volume 66, Issue 3 (2001), 1342-1352.

First available in Project Euclid: 6 July 2007

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Cherlin, Gregory; Shi, Niandong. Forbidden Subgraphs and Forbidden Substructures. J. Symbolic Logic 66 (2001), no. 3, 1342--1352.

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