Name
Abstract | ||
|---|---|---|
The concept of density in a free monoid can be generalized from the infix relation to arbitrary relations. Many of the properties known for density can be established over these more general notions of densities. In this paper, we investigate homomorphisms which preserve different types of density. We demonstrate a strict hierarchy between families of homomorphisms which preserve density over different types of relations. However, as with the case of endomorphisms, a similar hierarchy for weak-coding homomorphisms collapses. We also present an algorithm to decide whether a homomorphism preserves density over any relation which satisfies some natural conditions. |
Year | Venue | Keywords |
|---|---|---|
2008 | Acta Cybern. | similar hierarchy,free monoid,infix relation,homomorphisms collapse,arbitrary relation,natural condition,strict hierarchy,different type,general notion,coding theory,homomorphisms,density |
DocType | Volume | Issue |
Conference | 19 | 2 |
Citations | PageRank | References |
1 | 0.35 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Helmut Jürgensen | 1 | 208 | 43.68 |
| Ian McQuillan | 2 | 97 | 24.72 |