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Questions about handling graphs in Mathematica, graph theory, graph visualization, GraphPlot, the built-in Graph type and the Combinatorica` package.
3
votes
2
answers
172
views
Can I direct an edge to the midpoint of another edge in a graph?
I've been trying to make graphs in which I can direct an edge to the midpoint of another edge, as in the following figure:
So far, what I've tried, (far from ideal, especially with bigger networks) …
7
votes
Accepted
Problem with making torus graph in Graph3D by identifying edge of a square graph
I'd recommend using IGraphM, you can find a thorough documentation here.
Within it, there are graphs with periodic boundary conditions for the square/hexagonal cases, and it is fully compatible with …
3
votes
0
answers
285
views
How to select/filter vertices in a graph given some Annotation value?
I recently found out that making custom annotations to a vertex in a graph is quite useful. But, how can we filter the vertex list/set, given the properties in the annotations?
Suppose I have some gr …
2
votes
1
answer
299
views
Periodic boundaries for a 3D walk in a Bravais lattice?
I'm using a Bravais lattice, 'face-centered', which is implemented in Mathematica in LatticeData[]. I want to simulate a random walk over neighboring points using periodic boundary conditions, but it …
3
votes
0
answers
184
views
Is it possible to define substitution rules on edges instead of nodes [Wolfram Physics]?
I have a small question about the way substitutions work in the Wolfram Physics project, which might be a general question about how to add edges between nodes and edges.
Running a Wolfram Physics mod …
10
votes
4
answers
2k
views
How to remove "extra" edges from a multigraph?
I programmatically generate many large undirected graphs. Sometimes these graphs are multigraphs, that is, they contain more than one edge between a pair of nodes. I've tried to delete the "extra" edg …
1
vote
How to implement the directed Barabasi-Albert algorithm in Mathematica?
I'm not sure if I understood the question properly, but I was trying to generate a random graph from the Albert-Barabasi distribution, with directed edges that would differ in the IN and OUT degrees f …
2
votes
1
answer
110
views
How to get a NearestNeighborGraph[] for a given radius with periodic boundaries?
I'm wondering if there's a way to use NearestNeighborGraph with periodic boundaries, using all nearest neighbors within some radius.
I am aware of similar custom functions, like this one, but I want t …
6
votes
0
answers
194
views
How to obtain the adjacency matrix of morphological components?
I am wondering if there's a simple way to obtain the adjacency matrix of the morphological components of a segmented image. Consider the following example (originally, from this question):
(*Import bi …
4
votes
1
answer
143
views
IGraphM - Correct use of IGPersonalizedPageRank?
I'm using Szabolcs' IGraphM to calculate the personalized Page rank for each node in a graph. I was wondering about the 'reset' parameter, what exactly is it?
As I understand, the personalized Page r …
4
votes
2
answers
280
views
How to find the MeshConnectivityGraph[] from a list of independent cell mesh regions?
I'm generating a bunch of points inside a BoundaryMeshRegion. Then I generate the Voronoi mesh of the points, and take the intersection of the Voronoi cells into the region. How could I recover the ad …
3
votes
2
answers
163
views
How to filter-out edges in a HighlightGraph[] visualization based on VertexCoordinates[]?
I need to visualize a graph spatially, and I'm simply using:
HighlightGraph[ConnectedGraphComponents[]]
and the known coordinates of the graph's nodes. I really like how it looks, but for large gra …
8
votes
2
answers
850
views
How to visualize a spherical mesh on a squared plane?
I need to visualize the points of a spherical mesh on a squared plane (this question is different than this one, I believe). For instance, let us first generate points pts on a unit sphere. (Original …
2
votes
1
answer
106
views
How to get neighbor lists in the same order/orientation from a periodic IGTriangularLattice[...
Using IGraphM, I want to get the VertexComponent[] neighbors around all nodes, in a periodic IGTriangularLattice[] graph. To do that, I do:
(*Dimensions of the graph*)
i = 5;
j = 5;
(*Graph and neighb …