A set of points shown on the map usually represents special sites like cities or towns in a country. If the map in the interactive geographical information system (GIS) is browsed ...
We consider the set multi-cover problem in geometric settings. Given a set of points P and a collection of geometric shapes (or sets) F, we wish to nd a minimum cardinality subse...
Chandra Chekuri, Kenneth L. Clarkson, Sariel Har-P...
Fix a finite set of points in Euclidean n-space En , thought of as a point-cloud sampling of a certain domain D En . The VietorisRips complex is a combinatorial simplicial complex...
Erin W. Chambers, Vin de Silva, Jeff Erickson, Rob...
In many physical statistical, biological and other investigations it is desirable to approximate a system of points by objects of lower dimension and/or complexity. For this purpo...
If V is a set of n points in the unit square [0, 1]2 , and if R : V + is an assignment of positive real numbers (radii) to to those points, define a graph G(R) as follows: {v, w}...