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

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8
votes
4answers
320 views

Can I stop edges in graphs from drawing on top of the vertices?

Consider the following testadj = RandomVariate[BernoulliDistribution[0.15], {50, 50}]; AdjacencyGraph[testadj, VertexSize -> Large] The nodes are almost ...
8
votes
2answers
257 views

Organise a graph's vertices into levels

I would like to organise a graph's vertices in levels. Consider ...
8
votes
2answers
336 views

Graphing a network with state transition flows (of varying size)

In one of Stephen Wolfram's recent blog posts (http://blog.stephenwolfram.com/2013/04/data-science-of-the-facebook-world/#more-5350) he provides the network plot below. The size of the arrows that ...
8
votes
2answers
331 views

How do I convert this Nicomachus's Triangle to one with edges?

I want to put edges on this Nicomachus's Triangle r = 7; t = Table[2^(n - k) 3^k, {n, 0, r}, {k, 0, n}]; ColumnForm[t, Center] Is there an easy way to do this? ...
8
votes
2answers
251 views

Cases[data,Colon[key,_]] vs. Cases[data,key:_] toward XPath, XQuery

Exploring methods to index and search tree-structured key:value pairs via named-entity index (key paths) as opposed to Position-based indexing. Using Rule as ...
8
votes
3answers
380 views

Mathematica 10 Graph issue

fixed in 10.0.2 Please try to evaluate this code in Mathematica 10. ...
8
votes
3answers
251 views

Preserving labels when using graph functions

I am finding that some functions that accept a graph and return a transformed graph lose all the vertex and edge labels of the graph being transformed. For example, when I define a graph like this: ...
8
votes
1answer
828 views

How to speed up Minimum Spanning Tree algorithm?

How to speed up MST algorithm? I work with graphs and I have adopted Prim's algorithm for my needs, from here. The graphs which I use are very dense (number of vertexes: $V=500$ and every vertex is ...
8
votes
1answer
171 views

Using GraphHighlight interactively

I want to build a small GUI, where the user can select either a single edge or a single node of a graph. I got to this point: ...
8
votes
1answer
223 views

How can I sequentially apply different graph embeddings?

Imagine I have some graph G, and I perform a graph embedding using a command like: ...
8
votes
3answers
430 views

TreePlot with centered vertexes

I want to draw a tree plot for Euler totient function for this question like the following: I generate the EulerPhi for first 20 numbers into a list: ...
8
votes
1answer
165 views

Vertex merging in graph?

Given a Graph such as the one produced with the following code ...
8
votes
1answer
682 views

How to add vertex/edge labels to existing graph

If I have already created a graph using Graph. Later, I want to add to the graph some vertex and/or edge labels, how can I do that? Thank you.
8
votes
1answer
477 views

Why does SocialMediaData return such a small FollowerNetwork?

I have hooked up my Twitter account to Mathematica and I have 1468 followers myfollowers = Length[SocialMediaData["Twitter", "Followers"]] 1468 I wondered what ...
8
votes
1answer
521 views

How can I display a multigraph with different colored edges?

I'm new to Mathematica(version 9) and I'm trying to display a multigraph with different colored edges. Here's my code so far: ...
7
votes
5answers
408 views

Is there a neat way to generate the odd set constraints matrix?

Given a undirected graph $G=(V,E)$, I am trying to generate a related matrix $M$, where columns are indexed by $E(G)$ and rows are indexed by all odd subsets of $V(G)$. I can finish this task using ...
7
votes
2answers
368 views

Convert Graph to Graphics

In Mathematica 9, a graph is returned as an object with head Graph: In[8]:= CompleteGraph[8] // Head Out[8]= Graph ...
7
votes
3answers
254 views

Converting Mesh in Density Plots to a Graph

Consider the following line of code: ...
7
votes
3answers
392 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}}] ...
7
votes
3answers
570 views

Visualizing the output of a Voronoi diagram computation

I need to plot a graph (to be specific: Fortune Algorithm output) with given vertex coordinates and a few unconnected vertices. I am thinking of using Mathematica for that. ...
7
votes
2answers
896 views

Is it possible to export a graph as graphic to Excel?

It is straightforward to export lists to Excel with Export. Can I export a graphic image, too? This does not work: ...
7
votes
2answers
621 views

Controlling TreePlot (and GraphPlot) layout issue

A continuing battle with Mathematica involves graphics heavy with text labels. For example, the following expression renders so that the "Lifecycle properties..." ...
7
votes
3answers
257 views

Different colors for nodes in tree plot

I have some list of numbers which I am plotting using TreePlot. This is the code: ...
7
votes
2answers
415 views

Can I put tooltips in a Graph?

This doesn't work: Is there a way to do this? My real goal is to identify the second links in the graph below, which shows the results of a webcrawl (using this code). I'm open to another ...
7
votes
4answers
2k views

How to generate and draw simple bipartite graphs?

A bipartite graph is a graph whose vertices can be divided into two disjoint sets. Given two lists: {1, 2, 3} and {x, y, z}, ...
7
votes
2answers
484 views

Edge problems in a directed graph

I want to create the following two graphs. So far I tried the following Code ...
7
votes
2answers
486 views

HighlightGraph with different styles

I want to highlight two different directed paths on a graph with two different style. I am using the following two code snippets: ...
7
votes
1answer
942 views

Mathematica: Label specific vertices in GraphPlot

How can I label particular vertices in GraphPlot? And have the arrows space out accordingly, for the width of the label? I have Mathematica 7, but I think this question applies to all versions. ...
7
votes
2answers
110 views

How can I recover a graph from a graphical output in a notebook after resetting the kernel?

I have an old Mathematica notebook with an output for a graph structure $G$ I would like to recover. However, the routine for building up the graph is stochastic, so I can't simply rerun the code. ...
7
votes
2answers
739 views
7
votes
1answer
321 views

How to implement hive plot for graphs in Mathematica?

I'm trying to implement a version of the hive plot advocated in [Kryzywinski, et al., 2012]. There are many examples of such graphs on the author's webpage. It would be good enough for me to have ...
7
votes
1answer
381 views

How to visualize the structure of this dynamic programming code

I am studying Mr. Wizard's answer to this question which tries to identify elementary circles in a graph. That answer uses dynamic programming technique to simplify the code. The underlying guideline ...
7
votes
2answers
203 views

Graph does not accept Property Options

My question is concerned with the Graph functionality, which was newly implemented in Mathematica 8. I already used GraphPlot ...
7
votes
1answer
219 views

How to scale edge length and keep layout of edge-weighted Graph?

I love using Graph as structure to store and visualize my data in Mathematica. Consider the following simple example for creating a ...
7
votes
1answer
921 views

Dynamic Graph visualization

I'm working on a C++ library that will be used to construct and study certain graphs (as in a set of connected vertices, not a function plot). These graphs will be dynamic in nature (and can ...
7
votes
1answer
215 views

Finding Rings In A Network

I am doing a research on networks which consist of polygons with different number of sides. I am trying to find all rings (or cycles) in a network. As an example, consider the following graph: ...
7
votes
1answer
257 views

Visualize a tree structure using TreeGraph

I have a code that generates a tree of graphics objects. The structure can be visualized like this, with each Rule constituting a parent child relationship: ...
7
votes
1answer
319 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 ...
7
votes
1answer
239 views

Making FindShortestPath a little bit sloppy [duplicate]

I have a dense graph, and I'd like to find multiple "almost shortest" paths from a source vertex, $v_s$, to a sink vertex, $v_s$, on an undirected graph $G$. How can I repeatedly run ...
6
votes
5answers
517 views

Building graph based on the cities connection?

I built a Graph based on the permutations of city's connections from : ...
6
votes
4answers
205 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 ...
6
votes
2answers
359 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 ...
6
votes
3answers
700 views

Random Geometric Graphs

I'm trying to implement an application which uses random geometric graphs in Mathematica, but it seems Mathematica lacks the functionality. I need the following functionalities: Generate a set of ...
6
votes
2answers
334 views
6
votes
4answers
2k views

How to generate random directed connected graph?

How to generate random directed connected graph? I need to create graph which will pass: ConnectedGraphQ[^]
6
votes
2answers
2k views

Eigenvalue / Eigenvector Calculation

I'm currently trying to compute the three smallest eigenvectors for a 34 by 34 matrix. While I was expecting this to take some time, Mathematica has been running for the past 3 hours, which seems ...
6
votes
2answers
214 views

How to make each node of a graph a button?

A newbie question this one - MMA help seems to suggest it would be possible to place a button on ( or have a button be ) each node of graph, labelled with the name of said node. I have no idea where ...
6
votes
3answers
672 views

Graph adjacency matrix with unconnected nodes

I am trying to display a series of 9x9 adjacency matrices which represent directed graphs on a 3x3 grid. The issue I am running up against is this (compounded by that fact that I don't really know how ...
6
votes
2answers
308 views

Efficient setting of properties of multiple vertices in Graph

The functions SetProperty and PropertyValue can only set a single property of a single vertex, as far as I know. How do I set a ...
6
votes
1answer
140 views

Replacing graph nodes with matrices

I would like to label a graph with matrices. Suppose the graph is simple: And I have an array mats that contains the labels for vertices 1,2,3,4 (these are just random 0-1 matrices; ignore the ...