Size-optimal top dag compression

Autor: Markus Lohrey, Carl Philipp Reh, Kurt Sieber
Rok vydání: 2019
Předmět:
Zdroj: Information Processing Letters. 147:27-31
ISSN: 0020-0190
DOI: 10.1016/j.ipl.2019.03.001
Popis: It is shown that for a given ordered node-labelled tree of size n and with s different node labels, one can construct in linear time a top dag of height O ( log ⁡ n ) and size bounded by O ( n / log σ ⁡ n ) and O ( d ⋅ log ⁡ n ) , where σ = max ⁡ { 2 , s } and d is the size of the minimal dag. The size bound O ( n / log σ ⁡ n ) is optimal and improves on previous bounds.
Databáze: OpenAIRE