Totally symmetric functions are reconstructible from identification minors (Q405190)
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scientific article; zbMATH DE number 6548278
- On functions with a unique identification minor
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Totally symmetric functions are reconstructible from identification minors |
scientific article; zbMATH DE number 6548278 |
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Statements
Totally symmetric functions are reconstructible from identification minors (English)
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On functions with a unique identification minor (English)
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4 September 2014
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2 March 2016
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Summary: We formulate a reconstruction problem for functions of several arguments: Is a function of several arguments uniquely determined, up to equivalence, by its identification minors? We establish some positive and negative results on this reconstruction problem. In particular, we show that totally symmetric functions (of sufficiently large arity) are reconstructible.
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reconstruction problem
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function of several arguments
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totally symmetric function
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identification minor
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order of first occurrence
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2-set-transitivity
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0.7776603102684021
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0.7737110257148743
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0.7634896039962769
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0.7546946406364441
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