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11 votes
2 answers
3k views

Algorithm for embedding a graph with metric constraints

Suppose I have a graph $G$ with vertex set $V$, edge set $E \subseteq {V \choose 2}$, a poistive integer $d$, and a weight function $w:E \to \mathbb{R}^{+}$. Is there a nice algorithmic way to decide ...
Matthew Kahle's user avatar
8 votes
3 answers
389 views

A simplified Art Gallery Problem in a matrix

Let's take a $m \times n$ matrix as an area with $m \times n$ blocks (likes a 2D-version of the world in Minecraft). We have to put some lamps in this matrix to illuminate the whole matrix. Here is ...
Yijun Yuan's user avatar
4 votes
2 answers
219 views

Algorithm for grouping tetrahedra from Voronoi diagram

I have a set of 3D Voronoi generator points and their neighbouring points, which, when connected, should result in a Delaunay tetrahedralization. However, I'm having a hard time implementing this. My ...
catmousedog's user avatar
3 votes
1 answer
589 views

How to partition a graph into N groups with M elements nearest?

This problem probably already here but I could not find the right words to find it. I have a list with 1700 points (geographic coordinates) and a need to separate into 17 groups with 100 nearest. I ...
Bruno Caponi's user avatar
2 votes
0 answers
33 views

Algorithm for lightest unnested planar vertex-disjoint cycle-cover

Question: given a finite set $\mathcal{P}$ of disjoint points in the Euclidean plane and the set $\mathcal{C}$ of all simple polygons whose corners are subsets of $\mathcal{P}$, what is the ...
Manfred Weis's user avatar
  • 13.2k
0 votes
1 answer
116 views

Paper on unit disk graphs

I was wondering if anybody knows of a 'link' to the paper by Marathe 1995 et al on analysis of the greedy algorithm for finding a Max independent set in Unit Disk Graphs?
Pavan Sangha's user avatar