Publikationsdatum:
2014-02-26
Beschreibung:
For $n\geq 6$ we provide a counterexample to the conjecture that every integral vector of a $n$-dimensional integral polyhedral pointed cone $C$ can be written as a nonnegative integral combination of at most $n$ elements of the Hilbert basis of $C$. In fact, we show that in general at least $\lfloor 7/6 \cdot n \rfloor$ elements of the Hilbert basis are needed.
Schlagwort(e):
ddc:000
Sprache:
Englisch
Materialart:
reportzib
,
doc-type:preprint
Format:
application/postscript
Format:
application/pdf
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