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Results tagged with computational-geometry
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user 2233
Using computers to solve geometric problems. Questions with this tag should typically have at least one other tag indicating what sort of geometry is involved, such as ag.algebraic-geometry or mg.metric-geometry.
15
votes
Is every graph an edge-crossing graph?
The answer to 1 is no. To see this, note that every edge-crossing graph is a string graph. A string graph is a graph which is the intersection graph of arbitrary curves in the plane. However, there …
- 32.1k
10
votes
Number of edges in linklessly embeddable graphs
For your first question, Mader proved that all $K_6$-minor-free graphs (which includes all linklessly embeddable graphs) on $n$ vertices have at most $4n-10$ edges (thanks to David Eppstein for the re …
- 32.1k
3
votes
A simplified Art Gallery Problem in a matrix
If the set of obstacles forms a checkerboard, then $\lceil \frac{mn}{2} \rceil$ lamps are required. On the other hand, $\lceil \frac{mn}{2} \rceil$ lamps always suffice. This is clear if $m$ is even …
- 32.1k