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arxiv: 1308.3262 · v1 · pith:AGW7YEOXnew · submitted 2013-08-14 · 🧮 math.CO

Isomorphisms between pattern classes

classification 🧮 math.CO
keywords classespatternisomorphismssymmetryconsidereddeterminedentireenumeration
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Isomorphisms p between pattern classes A and B are considered. It is shown that, if p is not a symmetry of the entire set of permutations, then, to within symmetry, A is a subset of one a small set of pattern classes whose structure, including their enumeration, is determined.

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