Linear combinations from power domains

F. Aurenhammer


The well-known concept of power domains defined via subsets of a finite set $S$ of weighted points in $R^d$ is exploited to obtain various linear combinations among the points in $S$. 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].