Questions about handling graphs in Mathematica, graph theory, graph visualization, GraphPlot, the built-in Graph type and the Combinatorica` package.

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3
votes
3answers
325 views

Generating a graph where vertices correspond to points in an integer lattice and edges connect points less than a threshold distance apart

I'd like to automatically generate a graph where vertices correspond to (and have the coordinates of) points in an $A \times B$ integer lattice, and a graph is generated by connected vertices within a ...
2
votes
0answers
55 views

How to use Automorphisms[] on a graph? [duplicate]

I am having difficulty mixing the new post-Combinatorica graph data structure, with functionality apparently only in Combinatorica. I have constructed a graph using ...
9
votes
1answer
124 views

How to get control over DepthFirstScan?

Is there a way to conditionally take control the flow during a depth-first scan against a TreeGraph? I have a tree graph whose nodes are constructed as object, and there's a method ...
1
vote
1answer
73 views

Assigning Variables for Degree Distribution [closed]

So my code is divided into 3 different sections: 1) Calculating clustering coefficient, 2) Extracting degree distribution 3) Using the degree distribution to get the mean of 1000 networks. ...
2
votes
1answer
191 views

GraphPlot labels overlapping

If I plot the following graph with an EdgeRenderingFunction, the position of both the labels are at dead center, and with a large graph I have the labels completely ...
1
vote
2answers
368 views

Swapping elements of list

Say I have a directed graph inputted in the following format in Mathematica: g = {{1, "a", 2}, {2, "b", 1}} I'd like to plot this graph using ...
1
vote
1answer
133 views

Gradually coloring edges in terms of their vertices colors

In order to color Edges in a Graph after applying a function such as VertexDegree I did the ...
4
votes
2answers
119 views

BezierCurve in EdgeShapeFunction fails when used on multiedges graph

I would like to create a network graph with curved edges. To do this, I wrote this function: ...
4
votes
1answer
178 views

Compatibility issues for Combinatorica package

I am trying to use the Combinatorica package in a Mathematica version 9 in the following code : ...
6
votes
3answers
291 views

Flow in pipeline graph

I have pipeline directed graph which has one source and several sinks ...
8
votes
2answers
250 views

Organise a graph's vertices into levels

I would like to organise a graph's vertices in levels. Consider ...
3
votes
3answers
188 views

Product of edge weights in path

I need to calculate the product of graph edge weights on the path taking into account edge direction. I.e. for graph ...
6
votes
4answers
194 views

Draw graph wherein vertices are ArrayPlots

I need to place ArrayPlots in the vertices of graph. i.e. in graph Graph[{1->2, 2->3, 3->1}] I have to replace vertex 1 with ArrayPlots[{{0,0,1}}] and ...
4
votes
2answers
165 views

Total weight of a graph

I need to find the total weight of an WeightedAdjacencyGraph. I have a graph in that form ...
4
votes
3answers
785 views

Minimum spanning Tree from a weighted adjacency graph

Note: Cross-posted at http://community.wolfram.com/groups/-/m/t/137658?p_p_auth=8QnKtT9I I have a really big graph, 40x40. Here is my code ...
9
votes
3answers
440 views

Remove redundant dependencies from a directed acyclic graph

Given a directed acyclic graph, I want to remove all the edges $v_i \rightarrow v_j$ if $v_j$ is reachable from $v_i$ by some other path. Given the rich set of graph algorithms in Mathematica, what is ...
1
vote
1answer
127 views

Problem with GlobalClusteringCoefficient

I have a simple problem, I would like to measure the global clustering coefficient for a random graph. Here is my code: ...
1
vote
2answers
344 views

Coloring vertices using GraphPlot

I have the following problem: I used GraphPlot to plot my adjacency matrix. I divided my nodes in three groups: ...
3
votes
1answer
198 views

Merging Vertices of a Graph and adding up the edges weights

I have a Weighted Graph of g which looks like this. ...
0
votes
1answer
81 views

Testing Equality Expression?

Even if in Graph[{1 -> 2}] == Graph[{1 \[DirectedEdge] 2}] the answer is True ; but why MMA doesn't show the result of the ...
1
vote
3answers
161 views

Different Vertex Styling in a Graph

We can have this Graph: ...
2
votes
1answer
110 views

Distances of locations in the matrix form

I want to have the distances of the cities in the matrix form.How can I have it for example for the cities like followings that also includes the distance of the city from itself which is zero: ...
3
votes
0answers
232 views

How to compute the Lovász number for the given graph in Mathematica?

Here is a graph whose adjacency matrix is ...
0
votes
1answer
119 views

How can I replace UndirectedEdges to pairs of bi-directional DirectedEdge in a Graph?

How can I have pair of edges between nodes in this kind of graphs? ...
3
votes
1answer
210 views

Vertex Labeling Problem in a Graph

I am using following codes to create a graph. ...
14
votes
4answers
471 views

Can TreeForm be displayed “sideways”?

One recurrent problem I'm having with displays generated with TreeForm is that the expressions to be so displayed often at least one level with many (> 20) nodes ...
1
vote
1answer
92 views

Is there a TwoColoring function of Graph object?

The following code shows the GraphUtilities package makes a problem for Graph object. I want to use a ...
10
votes
1answer
578 views

Roads network visualization by thickness and color intensity by population from GIS files

We can have road networks of the countries in GIS shape file.For exmple from here. Normally traffic flows are proportionate to populations of the cities. I wonder how we can have the same in ...
5
votes
1answer
555 views

All possible topological orderings of a graph

TopologicalSort[] returns one of many unique orderings. From wikipedia: if a topological sort does not form a Hamiltonian path, the DAG will have two or ...
6
votes
1answer
76 views

Setting PropertyValue for VertexWeight is not persistent

g = CompleteGraph[8, VertexSize -> Medium]; PropertyValue[{g, VertexList[g][[1]]}, VertexWeight] = 10; PropertyValue[g, VertexWeight] ...
3
votes
1answer
53 views

Problems with PropertyValue when Graph's vertices are Lists

I create a Graph which vertices are lists (points in n-dimensional space) ...
2
votes
1answer
325 views

GraphPath: *all* shortest paths for 2 vertices, edge lengths negative

Mathematica uses Bellman-Ford to find a shortest path between two vertices when the edge lengths are negative: ...
3
votes
1answer
164 views

How can I highlight and individually color the connected components of a graph?

I have a graph G, and I wish to individually highlight and color the different connected components of a graph. It is simple enough to do this for one component: ...
1
vote
1answer
173 views

Do any users know of methods to capture Twitter feeds and subject them to analysis? [duplicate]

I would like to use the output of about 300 Twitter sources and would probably collect 30 minutes of tweets at a time and subject each collection to analysis; ideally this process would be automatic ...
1
vote
1answer
97 views

FindEdgeCut with weighted graphs

If I want to find a minimum cut between two nodes in a weighted graph, I would use FindEdgeCut as follows: ...
7
votes
1answer
290 views

Adding/deleting weighted edges to a weighted graph

How can I add and delete weighted edges in a weighted graph? Using Graph in Mathematica I want to add a weighted edge to a weighted graph. The problem is ...
1
vote
2answers
136 views

Separating disconnected graph objects without losing vertex coordinate assignments

Say I have a graph Gtest, which has multiple disconnected components. I found that I can isolate individual components while retaining vertex coordinate ...
9
votes
1answer
107 views

FindHamiltonianCycle is not invariant to edge permutation

Found this bug-like behaviour today: if the order of edges is changed so that VertexList does not return the vertices in canonical order, ...
0
votes
1answer
35 views

Parsing output from FindHamiltonianCycle to recover an ordered list of vertex positions for a discovered path

After applying FindHamiltonianCycle to a graph, one generates output that looks like the following: ...
3
votes
1answer
298 views

Generating a graph object where vertices are pixel coordinates and edges represent two pixels being in the same Moore neighborhood

I have a list of integer pixel positions, pts, and I wish to create one or more graph objects where vertices at these pixel positions share an edge if they are ...
2
votes
2answers
232 views

Manipulate graphs in 3D

Is it possible to Manipulate Graphs (e.g. a ...
3
votes
2answers
129 views

LineGraph Labels

I have a graph with labels on the edges: ...
5
votes
1answer
155 views

Keeping vertexcoordinates after adding a new vertex

I want to add a new vertex to a graph, with fixed VertexCoordinates but when I use VertexAdd, the new graph does not have the VertexCoordinates of the previous one. ...
5
votes
2answers
358 views

How to add new nodes to an existing graph with fixed (coordinates) nodes?

I'm ultimately trying to create a directed graph with some of the nodes in fixed positions and the other nodes placed around them in "acceptable" positions. It's better if I ask the question by ...
6
votes
2answers
345 views

Sierpinski carpet with GraphData

Is this graph in the list among the so-called "standard" structures used in GraphData? However, I have not found, yet, anything like "Carpet" or "Sponge" in the ...
1
vote
1answer
153 views

Find size of vertex image relative to the graph coordinate system

I am trying to define a graph using my own VertexShapeFunction with an ActionMenu button being the vertex and a custom ...
2
votes
2answers
396 views

EdgeRenderingFunction question

Bug introduced in 9.0 and fixed in 10.0.0 (Edit 1 : I added this paragraph after the original post, for context) Some context for this question can be found in another post ...
5
votes
3answers
240 views
2
votes
3answers
188 views

Graph with $\{a,b\}$ as Vertex Instead of Number

I'm trying to create a graph which has $\{a,b\}$ as labels: ...
9
votes
1answer
357 views

Drawing Zonotopes from Adjacency Matrix

This is crossposted in cs.stackexchange.com, but I have been trying to use Mathematica do this and figured it might be more appropriate to ask here. Define a "simple zonotope" to be a regular ...