# Tagged Questions

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

54 views

### TreePlot: arrows on specific lines

I have the following list of rules: L={1->2,2->3,3->3}; and I want to plot a tree graph: ...
31 views

### WeaklyConnectedGraphQ evaluates to False. Is this the expected result?

Take the simple graph {1->2, 2->3, 3->1}: TreePlot[{1->2,2->3,3->1}] I would expect that ...
252 views

### Vertex descendants subgraph

Keywords: vertex, ancestors, descendants, subgraph, directed graph, flow subtree So let's say we have a TreeGraph: ...
34 views

### Scan appears to work setting graph properties, but get error on property-read

This is a self-contained version of something a bit bigger - going for brevity. It is a bit synthetic, but there are applications I have in mind where the {{1,2}} will be replaced with real data, more ...
50 views

### Path with no dependence violations

I am guessing this will be a duplicate(it seems like a common task), but I obviously can't find the right page. I have a directed graph showing dependencies, and I want to list the vertices in an ...
83 views

The graph ...
159 views

### How to find all possible paths with as many edges between two same vertices?

Suppose I have an undirected graph G = Graph[{1 <-> 2, 2 <-> 3, 2 <-> 3, 3 <-> 4}] I used ...
219 views

### Extract bibliography from a PDF document

I am trying to extract bibliographies from academic papers which are in pdf format, and I have to do this for 100+ papers. My goal is to create a network of citations amongst the authors and identify ...
163 views

### Grouping the list of numbers that have common.

I am working on some simple problem. It is like puzzle.. Let's say I have some list input={{1,1},{1,2},{1,3},{2,3},{3,3},{4,4}} Which means 1 can go and back to ...
191 views

### Ploting a parallel graph for an animation

I am sorry that my attempt to obtain a fully functional plot as I want failed badly because I am not able to integrate the features to the graph. Here is my simple code: ...
80 views

### Is there an easy way to set or retrieve a graph edge properties as a list, in a single go?

I am trying to use arbitrary edge properties in Graphs, and I am looking for easy ways to work with them. In many cases it would be convenient to be able to set ...
73 views

### Creating confidence interval plots for random graphs

I have the following code where I create instances of random graphs and use their properties to compute the mean of a quantity labeled 'PoA'. In the last line, I use a range of values for the ...
83 views

### How to use the “EdgeLayout” suboption of GraphLayout?

According to the documentation, GraphLayout has an EdgeBundling suboption, which can take the following values: ...
52 views

### Graph equivalent of GraphPlot's MultiEdge style?

I like the default display of Graph much better than that of GraphPlot, but I do not see how to turn off the use of multi-edges ...
252 views

### How to count all cliques (not just maximal ones) in graphs?

How can I count the numbers of $r$-cliques in a graph? In other words, the number of triangles, the number of $K_4$, the number of $K_5$ etc. I have tried for example ...
170 views

### Fast way to get edge-list of graph in terms of vertex indices (not vertex names)

I am looking for the fastest way to achieve the following: Given a Graph, retrieve its edge list in terms of vertex indices (not actual vertices). For example, ...
68 views

### LayeredGraphPlot how to change color of vertex box

For LayeredGraphPlot how to change the default yellow color? ...
83 views

### How do I get all possible paths in terms of edges, and not vertices in Mathematica?

Suppose I have an undirected graph ...
118 views

### How to Change Vertex List in a Grid Graph

I would like to actually change the vertices in a grid graph instead of simply changing the label. Ultimately, I want the vertices to be points on a plane. So if given a simple grid graph ...
58 views

### How to draw vertices with identical names multiple times?

I have a list of rules that I would like to show as a layered graph. However, some vertex names appear more than once. How would one best deal with this situation? Example: ...
94 views

### Is there a way to efficiently generate a large “incomplete” k-partite graphs

A complete k-Partite graph can be divided into "k" distinct sets of nodes, each of which is connected to all nodes not in its own set. This can be generated with code CompleteGraph[{an, bn, cn}] ...
130 views

### Number of 4-colorings of Johnson solids

I want to know the number of 4-colorings for all Johnson solids. This is equivalent to evaluating the flow polynomial for the corresponding polyhedral graphs at $k=4$. I tried the following to get ...
100 views

### Weighted and directed network computation in Mathematica

Is there any set of commands in Mathematica to compute mean shortest path, global clustering coefficient, diameter and radius of the network, etc. for weighted and/or directed graphs? There indeed ...
139 views

### How can I route edges manually for a Graph?

Most graph layouts supported by Mathematica use straight lines for edges; or at least something that only depends on the coordinates of the two adjacent vertices of the edge and nothing else. A ...
191 views

I have what it seems to be a very trivial question, but after searching for hours I was not able to find an answer, so I am asking here. I have an edgelist for a graph, a 2 column csv file with id1,...
488 views

### Import and Plot Git Commit History

What might be the easiest to import and plot all commit history for a github project? I'm looking for something similar to the following.
89 views

### More efficient way to generate lattice graph with edges between visible vertices?

Given a nXn lattice, I need to generate the graph such that there is an edge between two vertices iff they are directly "visible" to each other, i.e., there is no vertex between them. I'm using <...
51 views

### Converting from GraphData to graph object

I know this is a simple question, but suppose I have a graph G = Part[GraphData[n],i] How do I convert this into a graph object accepted by ...
93 views

### Lack of arrows in Markov Chain graphs

I'm following this: http://www.wolfram.com/mathematica/new-in-9/markov-chains-and-queues/structural-properties-of-finite-markov-processes.html When I try to graph the Markov chain with Graph[proc] I ...
68 views

### How do I import a non-directed graph in graphml format?

I have created a graph with undirected edges, and I'm trying to import it into Mathematica. However, when I import it, I get directed edges. ...
48 views

### Increasing the font size in the Vertexlabels of GraphPlot

I have the following code and corresponding output: GraphPlot[Table[i -> Mod[3^i, 5], {i, 20}], VertexLabeling -> True] I wish to do two things: 1) ...
35 views

### Display options for GraphData output [duplicate]

How can the display of graphs using GraphData be customized? For example, how can we customize the vertex style, color, edge thickness of the output to...
74 views

### Cannot set VertexCoordinates twice in a Graph. Workaround?

Versions 10.0-10.2 seem to have a bug when trying to set VertexCoordinates twice on a graph (version 9.0 is fine). Can you confirm it? What is a good workaround ...
232 views

### Adjacency matrix from image file of plane map

I have image files (PNG format) of plane maps of regions delimited by black borders I would like Mathematica to compute the associated adjacency matrix for the contiguous regions in these maps. ...
63 views

### adjacency matrix with directed graph connected nodes

I was trying to plot a 9x9 adjacency matrices which produce a useless directed graph. Codes for that I used: ...
102 views

### ViewVector requires click before behaving with Graph3D (Also, viewing 3D subgraph “head on.”)

I want to produce 3D subgraphs that looks "head on" at the remaining vertices, held in their original positions via VertexCoordinates. The default viewpoint is not ...
63 views

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### Algorithm to determine if two colored graphs are isomorphic? [duplicate]

I have two (vertex-)colored graphs. I want to determine if they are isomorphic, with the condition that the isomorphism respects the colors of the vertices. Moreover, I want the algorithm to output ...
102 views

### Multiple colors on a single graph edge?

Is there any way to put two colors on one single graph edge? For example, I want to highlight two cyclic paths (red and blue). But, if I put the two colorings into one image, it does not work as I ...
108 views

### GraphDistance gives incorrect result in weighted multigraph [closed]

Bug introduced in 10.0 and persisting through 10.3 Multigraph support was introduced in 10.0 There are bugs in Graph on Mathematica 10.1. For example, ...
153 views

### How to show the direction of highlighted path in graph

I am trying to show the direction of FindHamiltonianPath on the Graph. ...
212 views

### Vertex Order of Graph

Given a graph, I want to find the shortest distance between each pair of vertices: ...
103 views

### Issues adding properties to multigraph

Unsupported Functionality (loosely, a bug) Mathematica (as of 10.4.1) does not support multi-graph where edge properties vary between two nodes that share multiple edges. Although this is not ...
87 views

### How to specify different colors for edges going between the same two vertices in Graph?

Here is an example: edge1 = Property[1 -> 2, EdgeStyle -> Red]; edge2 = Property[1 -> 2, EdgeStyle -> Blue]; Graph[{edge1, edge2}] This does not ...
61 views

I have a directed graph with this Edgelist defined as follow: ...
83 views

### How-to let user define a set of VertexCoordinates in a Graph

Here is a simple code I wrote to visualize what I am trying to achieve: C.1 ...
132 views

### How do I customize vertex label texts in tree plot correctly?

By the following code TreeGraph[{1, 2, 3}, {1 -> 2, 1 -> 3}, VertexLabels -> {"a", "b", "b"}] I get . This is incorrect. I need "a" to label the vertex ...
79 views

### Recursive graph expansion and rewiring

I want to take this graph and convert it into this graph by repeatedly substituting each of its nodes according to this rule After loading the initial graph and the substitution rule <...