A Note on Masspartitions by Hyperplanes

Autor: Benjamin Matschke
Jazyk: angličtina
Rok vydání: 2009
Předmět:
Zdroj: Benjamin Matschke
Popis: A triple of positive integers (d,h,m) is admissible if for any m given masses in R^d there exist h hyperplanes that cut each of these masses into 2^h equal pieces. We present an elementary reduction which combined with results by Ramos (1996) yields all the admissible triples that were known up to now (with one exception) as well as new ones.
3 pages, 1 figure
Databáze: OpenAIRE