All Questions
6 questions
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 ...
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 ...
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 ...
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 ...
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 ...
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?