Following their terminology, we will call the latter problem clustering to minimize the sum of diameters. They present a bicriteria poly-time algo- rithm that ...

Abstract. Let P be a set of n points in the plane. Consider the problem of finding k disks, each centered at a point in P, whose union covers P with the ...

For clustering to minimize the sum of diameters, they also show that the existence of a polynomial time algorithm that returns k clusters whose cost is strictly.

Given an n-point metric (P, d) and an integer k > 0, we consider the problem of covering P by k balls so as to minimize the sum of the radii of the balls. We ...

Following their terminology, we will call the latter problem clustering to minimize the sum of diameters. They present a bicriteria poly-time algo- rithm that ...

Consider the problem of finding k disks, each centered at a point in P , whose union covers P with the objective of minimizing the sum of the radii of the disks ...

Dec 14, 2023 · The k-MinSumRadius problem asks to cover this point set using k disks with the objective of minimizing the sum of the radii of the disks.

We study the problem of clustering points in a metric space so as to minimize the sum of cluster diameters or the sum of cluster radii.

Nov 21, 2024 · We consider the following metric clustering problem. We are given two point sets X (clients) and Y (servers), and a metric on Z = X ∪ Y Z = X \ ...

Given an n-point metric (P,d) and an integer k > 0, we consider the problem of covering P by k balls so as to minimize the sum of the radii of the balls.