7
votes
3answers
366 views

I can't understand FindShortest Tour

I can't understand the function FindShortestTour because of the result: FindShortestTour[{ {0, 1}, {5, 1}, {2, 1}, {10, 1}}] ...
2
votes
2answers
359 views

Create a planar graph from a set of random points

A planar graph is a graph embedded in the plane in such a way that the edges intersect at vertices. This is an example of a planar graph: g = GridGraph[{3, 3}] ...
5
votes
0answers
253 views

How to compute the genus of a Graph? [closed]

What's the simplest way to compute the genus of a graph using Mathematica? I have looked for a Genus function (even in the ...
21
votes
1answer
887 views

How to create regular (planar) graphs?

How to programmatically create and plot regular planar graphs with $k = 3, 4$ or $6$ (not hypercubes) and regular nonplanar graphs of $k = 8$ (see figure)? Note that what matters is the average ...