# Tagged Questions

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

78 views

### Better layout for large a directed graph?

This shows a directed graph for an iterated n-bit pseudo-random function parameterized by s. ...
301 views

### Relaxation of Mass-Spring System with Pinned Masses

Problem Assume that four masses are connected to each other by springs while two of them are pinned down at their initial positions. Find the position of masses when system is at its minimum (...
131 views

### How to input an adjacency list?

I am a beginner user of Mathematica, and I have an assignment to construct a graph given n (number of vertices) and an adjacency list. My idea was to make a For cycle that repeats n times, and for ...
96 views

### Better control of vertex positions in GraphPlot?

I am trying to graphically visualize a sort of a transformation network. My program generates a list of vertices and edges and I want to turn that into a visually clear graph fulfilling a few ...
87 views

### Replicate CommunityGraphPlot as a Graph

Is it possible to format a Graph object in a similar way to CommunityGraphPlot, but retain it as a Graph? I've been playing with FindGraphCommunities but I'm obviously missing some of the pre-...
24 views

### How to make the vertices move with the VertexRenderingFunction graphics when clicking and dragging vertices of a layered graph [duplicate]

I have read the suggested similar question here: VertexRenderingFunction (or EdgeRenderingFunction) with movable nodes? and Mr. Wizard's solution. Please could someone help me to apply his method to ...
60 views

### Undocumented options for “BalloonEmbedding” in GraphLayout

From an error message, I see some options of the BalloonEmbedding method for GraphLayout: ...
87 views

### How substitute an AbsolutePoint for a car drawing or car icon?

$CAR$ ...
144 views

### Import GEXF graphs into Mathematica?

Is there any smart way to import gephi graphs (*.gexf) into mathematica ? I mean other than converting to *.gml.
230 views

### How to set the Y coordinates for a Graph with defined X coordinates to prevent overlap of nodes?

I would like to draw a Graph with defined $x$ coordinates and variable node sizes. If I simply replace the $x$ coordinates of a graph, then nodes can overlap and ...
160 views

### Find all perfect matchings of a Graph

I'm trying to find all perfect matchings for some bipartite graphs. For example ...
98 views

### Is it possible to visually edit a graph?

Given a graph, obtained by something like CompleteGraph[5], can I somehow add/remove edges/vertices visually? Or is the only alternative to transform it via ...
96 views

### Graph: ordered vertices

I have tried things like ...
65 views

### How can I construct a random graph, which is created by adding orientation to a complete graph?

Given a complete graph on N vertices, how can I randomly orient all of its edges? I thought about starting out with CompleteGraph[n], and then somehow transforming ...
289 views

### Can I solve this graph theory problem with Mathematica?

Internet browsing I came across this problem, as can be solved using Mathematica. Edit: The image says: Place the following numbers 1,2,3,4,5,6,7 in the following diagram (all), without repeating any ...
138 views

### VertexLabels, EdgeLabels and the direction of the arrows on a directed graph

I want to have three network types. My plan is to put them together in a figure file via marking them with (a) (b) and (c). The figures that I want to have, have some problems. Here is my code ...
167 views

### Draw mesh edge / map a graph to a mesh [closed]

I am doing a "force density" method to generate a mesh under certain load. The original mesh is like this: Then, I generate a IncidenceMatrix from the graph for further matrix transformation and ...
454 views

### Something interesting about Pi, but something seems amiss

I saw something interesting about text-analysis - bigrams - in Basic Text Analysis in Mathematica I wondered how the bigrams of Pi's digits might appear. As expected, take enough terms and every ...
95 views

### Successive addition or deletion of vertices (or edges) in graph

I am trying to perform a kind of dynamic graph simulation where vertices and edges of graph are added and deleted according to the current state of the graph at each time step. I know that there are ...
157 views

### Random geometrical graph generation

I would like to generate a random graph on $[0,1]^2$. Each node is connected to one other if the distance between two nodes is say 1/4 or less. Here is an example with 50 nodes and 200 edges I would ...
63 views

### Trying to write a program to find an approximate harmonic function on a given graph using relation method

So given an undirected graph with two vertices that have fixed values assigned to them, a harmonic function is a function that assigns values to all other vertices such that the value assigned to each ...
301 views

### VertexRenderingFunction (or EdgeRenderingFunction) with movable nodes?

In GraphPlot, I'd like to use VertexRenderingFunction (VRF) and have the resulting object behave the same way under dragging verticies as it does when I do not use VRF. The same issue occurs for ...
67 views

### What do the default shapes/colors in DiscreteMarkovProcess Graph mean?

In making markov chains, I know how to do that, but I am curious as to what the different colors, and shapes of the vertexes in the graph output mean. as example; ...
67 views

### EdgeRenderingFunction For 2 Vertices in a Loop

Assume there is a set of rules: set = {"A" -> "B", "B" -> "A", "B" -> "C", "C" -> "D", "D" -> "A", "C" -> "C"}; which we want to graph using <...
69 views

### Efficiently or Elegantly construct linear graph list from vertex pairs

I am processing MRP data, with BOM relations as pairs of part number strings. I want to construct lists that represent the linear graphs defined by these pairs. Here is some code to generate random ...
35 views

### FindIndependentEdgeSet behaves differently in v9 and v10

The following code gets different output in v9 and v10. ...
216 views

### Drawing a path which realises the diameter of the graph

So I enter a (0,1) adjacency matrix and I get the following graph: The diameter of this graph is 4. How can I ask that two vertices which realise this diameter be drawn with different filling ...
371 views

### Is there a bug in FindClique?

If h is a graph, FindClique[g, {n}] should return a clique on exactly $n$ vertices if one exists in ...
62 views

### Adding a title to TreePlot

This is a basic question I am sure, but cannot seem to find the answer in the documentation. Does anyone know how to add a title to a TreePlot?
140 views

### Color edges of a multigraph when there are parallel edges using Graph[] and EdgeStyle

This a related question to : How can I display a multigraph with different colored edges? However I'm not using GraphPlot. Instead I'm using Graph and EdgeStyle attribute. Take this graph : How can ...
438 views

### Automatically convert pairs of directed edges to an undirected edge?

I have a directed graph, which for some pairs of vertices, has a directed edge between them in each direction. I would like to replace such pairs of directed edges between the same vertices but in ...
36 views

### Error with AppendTo [duplicate]

I am trying to write a function that builds a graph, or - better said - adds a layer of leaves to a pre-existing graph. Basically, I hand to the function three lists. ...
45 views

### Draw a single disconnected vertex [duplicate]

I am just started using Mathematica. I am trying to split my graph into two sets. 1. How does Mathematica split the graph into 2 subgraphs (connected or disconnected)? 2. How can I draw a graph with ...
93 views

### LayeredGraphPlot: how to specify edge endpoints?

What directive within the LayeredGraphPlot command specifies where the edges attach to vertices? For example, instead of the left output below, I'd like to have the right one. ...
80 views

### TransitiveClosureGraph` doesn't return self-loops for nodes that are in a cycle

This is from boost library documentation: The transitive closure of a graph G = (V,E) is a graph G* = (V,E*) such that E* contains an edge (u,v) if and only if G contains a path (of at least ...
398 views

### Using GraphData to generate all directed graphs with n vertices

Using Combinatorica, it was possible to generate unlabeled (non-isomorphic) directed graphs of $|V|=n$. Here the example is for $n=4$: ...
90 views

### Export and Import a list of graphs?

I want to export a list of graphs that come as output to my program. However, I tried exporting all the graphs as graphs using Map and an Export statement with "graph.gml" statement, but got an error. ...
85 views

### Is there a way to combine VertexLabeling->True and VertexLabels/Tooltip in TreePlot?

Basically, I'm trying to make Mathematica give me a tree with names inside the rectangles like so: ...while also having the properties of VertexLabels or Tooltip, which lets me place my mouse over ...
181 views

### Vertex styling in CommunityGraphPlot

Is there a way to change the colours of nodes within one community? Mathematica assigns vertex colours automatically to each community. However, I'd rather like to use my own colour set. ...
344 views

### LayeredGraphPlot Vertex Spacing / Edge Length

For anyone who has used LayeredGraphPlot (Mma v9), you have probably seen that the vertex spacing is consistent throughout, that vertices have the same minimum unit ...
57 views

### How to query W|A, to get a list of asymmetric, bicubic and $3$-edge colorable graphs? [closed]

I'm interested in finding graphs with certain properties, like the smallest cubic bipartite asymmetric graph. While working on a related graph-theoretic problem, concerning edge-colrings, I came along ...
81 views

### Insert an element to AdjacencyGraph

I'm not able to insert an element to mine AdjacencyGraph. I suppose that i should modify my AdjcencyMatrix: ...
60 views

### Purpose of VertexWeight

I am trying to partition a graph into partitions of equal weight (on the vertex). I looked at the documentation, and found VertexWeight, which seems to attach a weight to a vertex. In the details, ...
94 views

### Multi-named Vertices (or Overlapping Vertices) in TreePlot/LayeredGraphPlot, or Merging Trees

If there is a series of rules from which a TreePlot/LayeredGraphPlot is made: ...
368 views

### Graph Coloring based on neighboring vertices? Cellular Automata

I would like to apply a majority rule cellular automata to graphs. Specifically, I would like to take a graph as input, and then define two functions, InitialColoring[graph] and MajorityRule[graph]. ...
558 views

### Label multiple edges between same vertices

I have a simple graph with multiple edges between two vertices, say: Graph[{ Labeled[a -> b, "A"], Labeled[a -> b, "B"] }] Unfortunately, Mathematica ...
112 views

### Change group generators?

I want to make Cayley graphs for the same group, but with different generators. Is there any way to represent a group, besides a cumbersome permutation representation or using the default Mathematica ...
94 views

I have a graph defined as follow: ...