How can I plot a multilayer graph (2 layer) starting from adjacency matrices?

I need to plot a multilayer graph starting from adjacency matrices, like the one shown in the figure.

I have 3 adjacency matrices:

• A_gas (7x7 double): graph with nodes in red;
• A_power (24x24 double): graph with nodes in blue;
• A_interlayer (7x24 double): represents the connections between nodes in red and those in blue.

[Ive J]

maybe something like this?

s1 = [ 3 3 1 4 10 8 4 5 6 8];
t1 = [6 10 10 10 11 11 8 8 11 9];
s2 = [1 1 1 1 1 2 2 7 7 9];
t2 = [2 3 4 5 7 6 7 5 9 6 ];
G1 = digraph(s1, t1);
G2 = digraph(s2, t2);

hold on
ax1 = plot(G1);
ax2 = plot(G2);

Answer 1

[Christine Tobler]

Here's an example of how to do this (using just some random data, since I don't have the matrices you mention above).

% Choose some random data for the adjacency matrices
A_gas = rand(7, 7) < 0.05;
A_interlayer = rand(7, 24) < 0.05;
A_power = rand(24, 24) < 0.05;

% Give names to each node, so that they are unique for both blue and red
% nodes
namesBlue = (1:24)+" blue";
namesRed = [11 12 14 16 19 20 24]+" red";

% Combine the adjacency matrices to apply to a larger graph containing all
% nodes
A = [A_power, zeros(24, 7); A_interlayer, A_gas];
g = digraph(A, [namesBlue, namesRed]);

% Plot and recolor all red nodes
p = plot(g);
highlight(p, 25:31, NodeColor='red')
p.NodeLabel = string([1:24 11 12 14 16 19 20 24]);

You could also make this a 3D plot by setting the ZData property of variable p so that all red nodes have a different height than the blue nodes do.

Answer 2

[Vanshika Vaishnav]

You can represent the graph with this adjacency matrix:

0 1 2

1 0 3

2 3 0

To construct the graph in MATLAB, input:

A = [0 1 2; 1 0 3; 2 3 0];

node_names = {'A','B','C'};

G = graph(A,node_names)

G =

graph with properties:

Edges: [3×2 table]

Nodes: [3×1 table]

You can plot the directed graph as described in the following documentation in "Creating Graphs">>"Adjacency Matrix".

Directed and Undirected Graphs - MATLAB & Simulink - MathWorks India

Also, you can code this way:

s1 = [ 3 3 1 4 10 8 4 5 6 8];

t1 = [6 10 10 10 11 11 8 8 11 9];

s2 = [1 1 1 1 1 2 2 7 7 9];

t2 = [2 3 4 5 7 6 7 5 9 6 ];

G1 = digraph(s1, t1);

G2 = digraph(s2, t2);

hold on

ax1 = plot(G1);

ax2 = plot(G2);

for more information refer this below documentation:

Graph and Network Algorithms - MATLAB & Simulink - MathWorks India