ISSN:
1432-0444
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Mathematics
Notes:
Abstract. We apply a generalization of Crapo's β invariant to finite subsets of R n. For a finite subset C of the plane, we prove β(C)=|int (C)|, where |int (C)| is the number of interior points of C, i.e., the number of points of C which are not on the boundary of the convex hull of C . This gives the following formula: ΣK free (-1) |K|-1 |K|=|int(C)|.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/PL00009469