Recursive-combinatorial properties of subsets of the natural numbers
โ Scribed by A. N. Degtev
- Publisher
- Springer US
- Year
- 1990
- Tongue
- English
- Weight
- 420 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0002-5232
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๐ SIMILAR VOLUMES
We find asymptotic upper and lower bounds on the number of linear extensions of the containment ordering of subsets of a finite set. These agree in their most significant non-trivial terms. A related open question is described. L > 2"((n + 1)log 2 -4 log 2m -5 + o(1 ln)).
A recursive graph is a graph whose vertex and edge sets are recursive. A highly recursive graph is a recursive graph that also has the following property: one can recursively determine the neighbors of a vertex. Both of these have been studied in the literature. We consider an intermediary notion: