How to add an edge between two nodes of two different graphs?

Question

Asaf McRock 2021-1-15

1
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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/718160-how-to-add-an-edge-between-two-nodes-of-two-different-graphs

编辑： Asaf McRock 2021-2-3

I'm trying to connect the nodes of graph g (Blue) with the nodes of graph h (Red).

so=[1 1 1 2 2 2 2 3 3 3 5];
ta=[2 3 4 3 4 5 6 6 7 5 7];
g=graph(so,ta);
p=plot(g);
x=p.XData;
y=p.YData;
z2=[0 0 0 0 0 0 0];
subplot(2,2,1);plot(g,'XData',x,'YData',y,'ZData',z2)
s=[1 1 1 2 2 3 3 3 3 4 4 5 5 ];
t=[2 5 6 3 4 7 4 5 6 7 5 7 6 ];
h=graph(s,t);
z=[-3 -3 -3 -3 -3 -3 -3];
hold on; subplot(2,2,1);plot(h,'XData',x,'YData',y,'ZData',z)

Is it something doable?

Thank you all for your continuous support!

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Answer 1

Christine Tobler 2021-1-18

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在 MATLAB Online 中打开

You could also add the edges of both graphs to one larger graph, and then use addedge to connect them. You would probably not get a clear separation visually of what used to be the first graph and the second graph this way, though.

so=[1 1 1 2 2 2 2 3 3 3 5];
ta=[2 3 4 3 4 5 6 6 7 5 7];
g=graph(so,ta);
p=plot(g);
x=p.XData;
y=p.YData;
z2=[0 0 0 0 0 0 0];
s=[1 1 1 2 2 3 3 3 3 4 4 5 5 ];
t=[2 5 6 3 4 7 4 5 6 7 5 7 6 ];
h=graph(s,t);
z=[-3 -3 -3 -3 -3 -3 -3];
gh = graph([so, s+7], [ta, t+7])
gh = addedge(gh, 2, 4+7)
plot(gh,'XData',[x, x],'YData',[y, y],'ZData',[z2, z2-3])

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Christine Tobler 2021-2-2

在 MATLAB Online 中打开

Here are some small examples of what I meant

a)

graphs = {graph(zeros(10)};
for ii=1:10 % time steps
   graphs{ii+1} = addedge(graphs{ii}, randi(10), randi(10));
end

This adds a random new edge to the graph at each timestep, and stores the graphs for each timestep in the cell array graphs.

b)

Let's say we have a graph representing a train network, where each edge is the connection between two places. If the dynamic is only about how many trains are running each edge per day, this can simply be stored in a matrix numTrains(edgeID, dayID). If a connection isn't used at all in a day, instead of removing the edge we can simply set that entry in numTrains to zero.

This only works for simpler cases, but in those cases it makes manipulating the data much easier than working with a cell array of graphs.

Asaf McRock 2021-2-3

编辑：Asaf McRock 2021-2-3

OMG! I wonder when can I reach this level of creativity.

Very interesting small examples indeed. I will start practicing and learning from here.

Thanks for your time and continuous support!

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Answer 2

Asaf McRock 2021-1-16

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/718160-how-to-add-an-edge-between-two-nodes-of-two-different-graphs#answer_599525

在 MATLAB Online 中打开

v1=[x(1) x(1)];
v2=[y(1) y(1)];
v3=[z2(1) z(1)];
j1=[x(2) x(4)];
j2=[y(2) y(4)];
j3=[z2(2) z(4)];
line(v1,v2,v3,'Color','red','LineStyle','--')
line(j1,j2,j3,'Color','red','LineStyle','--')

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Asaf McRock 2021-1-16

It's not possible to add an edge between nodes of different graphs. So, this is the only way, I guess, to visualize an interlink between nodes of different graph. It might be inefficient though especially for larger number of nodes.

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