Linear combinations from power domains
The well-known concept of power domains defined via subsets of a finite set
of weighted points in
is exploited to obtain various linear
combinations among the points in
. This generalizes a result of Sibson who
considered the special case of singleton subsets and unweighted points.
Reference: F. Aurenhammer.
Linear combinations from power domains.
Geometriae Dedicata, 28:45-52, 1988.
[IIG-Report-Series 243, TU Graz, Austria, 1987].