… inner points (that is, points in the interior of the convex hull). As a case study, we consider the
minimum weight triangulation problem… problem: the minimum weight triangulation problem. …

… set with respect to the number of inner points (that is, points in the interior of the … the minimum
weight triangulation problem. Finding a minimum weight triangulation for a set of n points in …

… triangulation of a given point set that minimizes the sum of the edge lengths. We prove that
the decision version of this problem … We call the total weight of these edges the internal cost of …

… ) be the smallest real d such that starting from any point in S, … To see that the problem of
constructing a minimum spanning … that the point p is closest to e among all points in S inside (p, p…

… perimeter and k hole vertices in the interior, that is, for a total of … A triangulation of a set S of
n points in the plane is a maximal … In this paper we consider the slightly more general problem …

… which are always in the triangulation), all of which lie inside the polygon. Note that the problem
of finding a MWT of a set S of points can be reduced to this problem by finding the convex …

… compute a triangulation with O(n) new points, and no obtuse … and MWST problems, discuss
some difficulties in extending … quadtree triangulation in which we triangulate both inside and …

… NP-hard problem of finding a Minimum Weight Triangulation (MWT) of a planar point set: …
face with n ∈ N boundary vertices and k ∈ N inner points can be triangulated in O(n3k!k) [12] …

… problem of determining whether S contains a triangulation … As we travel through the interior
of edge b (or, if b is a point, … (since x is in the interior of YZ and w is in the interior of b, and …

… problem of finding a minimum-weight triangulation (MWT) of a planar point set, a classic
problem of … k inner points. Hoffmann and Okamoto [16] showed how to obtain the MWT of such a …