# Tagged Questions

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

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### How to remap graph properties?

Graph objects support both custom properties, which do not have special meanings, and standard properties, which may be used by some functions. When importing from ...
68 views

### Why is FindCycle crashing for this graph?

I'm working with a directed graph, previously mentioned in Exporting a high-resolution GraphPlot of a very large graph (65,536 nodes). It can be generated with the following code: ...
32 views

### Existence of edge in graph

I want to know whether an edge exist between two specific vertex? Is there any function like EdgeExist[g,{v1,v2}]?
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### Deleting vertices from Graph and preserving Structure?

My goal is to remove vertices from graphs (and the edges from them) and then take GraphComplement to find out cut sets in graphs with sink and source such as here. So How can I delete vertices from a ...
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### How to enlarge a specific part of a graph using Plot Command? [duplicate]

How to enlarge the closed curves of any Graph and Show them in a separate Graph within the ...
36 views

### min distance in a graph

How would I find the min distance between two vertices in a graph. What function should I use? For example, in the above, $d(2,4)=2$ and $d(2,3)=1$
119 views

### Exporting a high-resolution GraphPlot of a very large graph (65,536 nodes)

Problem I have a very large graph of 65,536 vertices. GraphPlot yields: But the vertices are too dense to see in any detail, and attempting to use any of the ...
152 views

### Is it possible to get the (x, y) position of nodes in a Graph?

Given a graph... RandomGraph[{20,40}] ...is it possible to retrieve the (x, y) coordinates at which the nodes are drawn? ...
87 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 ...
146 views

### Efficiently importing data into Mathematica

I have a graph data file infile.txt. 3 2 0 1 1 2 3 2 0 1 2 1 3 2 1 0 1 2 3 3 0 1 1 0 1 2 3 3 0 1 1 0 2 1 3 4 0 1 1 0 1 2 2 1 ...
116 views

### A unexpected behavior in RelationGraph

Bug persisting through 10.4.1 Firstly we get these idiom ...
51 views

### Why NearestNeighborGraph gives different result for numerical List and exact List

In mathematica 10.3 there is a function called NearestNeighborGraph. I found some behavior of it that I don't understand. First I generate a 2D list like this ...
106 views

### Graphs' options vs JournalArticle stylesheet

Bug introduced in 10.4 and persists through 10.4.1 [...] This GridGraph behavior does appear to be a regression in Mathematica 10.4 from earlier versions. As ...
757 views

### Vizualization of percolation paths

I did a simple demonstration to illustrate the percolation theory for my students. The content is a conductive square network possessing electrodes at its top and bottom edges. Some randomly chosen ...
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### How to change the bipartite into a normal form

If we have a bipartite,we can change its form into a normal form like this g1 = GraphData[{8, 579}] ...
239 views

### Constructing a graph from a distance matrix

I have a set $S$ of $n$ 2-dimensional points. We can compute a distance matrix (Euclidean distance) for $S$ using say this answer. I wish to form an $n$-vertex graph having the points $S$ as vertices, ...
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### Neural network playground

I came across this Neural Net Playground demonstration based on Google's Tensorflow package. It visualizes the data processing inside a neural network and allows you to tweak parameters and ...
130 views

### How to convert a graph to a mesh region

As we know,the region is very convenient in Mathematica.And we can convert a MeshRegion into graph like this ...
1k views

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### Alignment of TreePlot`

I want to construct a binomial tree using TreePlot but have troubles with the alignment. The code ...
132 views

### Vertexes possibility estimate in graph

I have graph which represents runner race events. Vertex means runner, edge means running event between runners, edge weight is how much more seconds runner won running race against opponent. (running ...
72 views

### How to get the Perfect Maching or Near-Perfect Matching

I have found the Perfect Maching's definition in Wiki. A perfect matching (a.k.a. 1-factor) is a matching which matches all vertices of the graph. That is, every vertex of the graph is incident ...
727 views

### Building graph based on the cities connection?

I built a Graph based on the permutations of city's connections from : ...
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### Is this a bug between RelationGraph and BipartiteGraphQ?

Inspired by yode's latest question I was playing around with RelationGraph and found that BipartiteQ seems to be unable to ...
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### None connected graphs for n=59? [closed]

For some reason GraphData["Connected", 59] gives no graphs, is this a bug?
197 views

### Chromatic number for “great circle” graph

I would like to calculate the chromatic number for a great circle graph. I tried this example in this link. I first tried to calculate the chromatic number for ...
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I googled for images of graphs and found nothing that even comes close to this one, so I want to experiment some more. ...
1k views

### How to divide the wine into two equal portions

There is a 8-liter bottle is full of wine. There are two empty bottles that have capacity 5-liters and 3-liters. How can these three bottles be used to separate the wine into two 4-liter portions? ...
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### Use (network) graph as vertex

I have a Markov chain with graphs as the states. Basically how one network structure would evolve to another in the next period. To avoid confusion, I'll use the term "network" instead of "graph". I ...
61 views

### Enumerating all orientations of an undirected graph

Given an undirected graph $G$, an orientation of $G$ is a directed graph obtained by assigning every edge a direction, a superorientation of $G$ is a directed graph obtained by orienting every edge in ...
112 views

### How to extract the structure of relationships amongst variables in a system of equations? [closed]

Mathematica being a CAS, I would have thought what I'm trying to do a natural task. But I have not been able to find any information on this in the Internet. Basically, I have a large collection of ...
20 views

### Different edge Weights for edge Graph

I have a weighted Grid Graph with Diagonal Edges (nXm). I want to add different cost to the parallel edges. All Horizontal(0°-->) will have edgeweight of 1.8 All Horizontal(180°<--) will have ...
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### How to make a disconnected graph to be 1-edge-connected(but not 2-edge-connected) with some shortest edge

Assume I have a graph.You can run following code to get it. Import["http://goo.gl/NaH6rM"]["http://i.stack.imgur.com/EyAKW.png"] It is a disconnected graph.But ...
239 views

### Tom's family how to cross the bridge

A interesting question.Tom's family just have a flashlight which will extinguish after 30 seconds.They wanna go through a bridge to arrive opposite side with the flashlight.But as the picture,they ...
62 views

### DirectedEdges -> False not working

Consider this graph, that I downloaded from the OpenConnectome project. Graph[EdgeList[cElegans], DirectedEdges -> False] // DirectedGraphQ outputs: ...
101 views

### How to find the shortest path going through some specified vertices

I have a grid graph g = GridGraph[{12, 12}, VertexLabels -> "Name"] We can find a shortest from 1 to 144 ...
61 views

### How do I display a graph theory problem?

If I have several nodes and the distances that they have between one another, how do get Mathematica to display this as a graph? And also maybe define this graph in such a way that I can then use ...
111 views

### Import graphml file in mathematica

I am trying import a graphml file I created with NodeXL in mathematica in order to create a network. However when i try to import it I get the error message: "Cannot import data as GraphML format". ...
30 views

### WeightedAdjacencyMatrix does not complete for Connected Graph

Please see code snippet below - I have a weighted, connected graph that models a software process using a DiscreteMarkovProcess. I set some of the edge weights to ...
147 views

### The algorithm of ListGraphs[n,m]

I'm not sure if this is a Mathematica problem, math problem or a CS problem, so if this is off-topic please transfer it. In the package Combinatorica there is a ...
58 views

### How-to make large graph more readable?

One day, I found myself curious about different topics in mathematics. So, I stumbled uppon a website (considerably old website) where author has tabularized mathematics into subjects and associated ...
116 views

### GridGraph with diagonal edges

I have n x n GridGraph (or n x m), I trying to add diagonal edges for each square box automatically and then assign same weights to the diagonals, same weights to horizontal edges and same weights to ...
79 views

### Reverse the layout when using “DiscreteSpiralEmbedding”

I have a graph such as NestGraph[# + 1 &, 1, 10, GraphLayout -> "DiscreteSpiralEmbedding", VertexShapeFunction -> "Name", VertexSize -> .2] But ...
69 views

### Some strange graph from “RelationshipGraph”

I want use this code to graph the all of function in image-processing. ...
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### How to get the VertexWeight list or EdgeCapacity list in a graph

The graph of Mathematica.We have VertexList or EdgeList.So we can get it convenient like ...
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My graph is ...
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### How to make the graph to specific layout

For the artistic,the graph layout could be more important sometimes.So I must to put a bad sentence to describe the clumsy GraphLayout of ...
374 views

### Reconstruct a graph from an image (curved edges and edge crossings)

Actually, I posted a very similar question before this.How to generate a Graph from a picture of a graph Dr. belisarius's answer have answered that question, but I find a limitation in that method: ...