Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/15414
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Miyakawa, M. | en_US |
dc.contributor.author | Stojmenović, Ivan | en_US |
dc.date.accessioned | 2020-03-03T14:59:51Z | - |
dc.date.available | 2020-03-03T14:59:51Z | - |
dc.date.issued | 1989-01-01 | - |
dc.identifier.issn | 0166218X | en_US |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/15414 | - |
dc.description.abstract | The set of functions of Pk2 (mapping the set {0,1,...,k-1}n into {0,1}, n = 1,2,...) is divided into equivalence classes so that two functions are in the same class if their membership in the maximal subclones of Pk2 coincides. This also leads to a natural classification of the set of bases (i.e. irredundant complete subsets) of Pk2. We determine all nonempty classes of functions of Pk2 and show that their number is 13B(k) - 11B(k - 1), where B(k) is the number of equivalence relations on the set of k elements (Bell's number). The maximal number of elements in a base of Pk2 is proved to be k + 2. Computational results for the numbers of classes of bases are also presented for k=3 and k=4. © 1989. | en |
dc.relation.ispartof | Discrete Applied Mathematics | en |
dc.title | Classification of P<inf>k2</inf> | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.doi | 10.1016/0166-218X(89)90026-7 | - |
dc.identifier.scopus | 2-s2.0-38249022965 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/38249022965 | - |
dc.description.version | Unknown | en_US |
dc.relation.lastpage | 192 | en |
dc.relation.firstpage | 179 | en |
dc.relation.issue | 2 | en |
dc.relation.volume | 23 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
Appears in Collections: | Naučne i umetničke publikacije |
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