Clear Filters
Clear Filters

Build and visualize a circulant graph

4 views (last 30 days)
mazari ahmed
mazari ahmed on 6 Apr 2015
Answered: Jaynik on 26 Aug 2024
Hello; l need to code and plot a circulant graph as it is illustrated in the two figures below.any suggestions ?

Answers (1)

Jaynik
Jaynik on 26 Aug 2024
There is no direct function to plot "circulant" graphs in MATLAB. Though you can create a plot from using other available functions. Here is one of the approach you can use:
% Define the number of vertices
n = 12;
v = [0 1 1 0 1 0 0 1 0 1 0 1]; % Define the first row with the connections
C = toeplitz([v(1) fliplr(v(2:end))], v); % Create the circulant matrix
C = [C, ones(n, 1); ones(1, n), 0]; % Add a row and column for the central vertex
% Define the coordinates for the vertices
theta = linspace(0, 2*pi, n+1);
x = cos(theta(1:end-1));
y = sin(theta(1:end-1));
coords = [x' y'; 0 0];
% Plot the graph
gplot(C, coords, '-o');
axis equal;
title('Circulant Graph');
Here, we use the toeplitz and fliplr functions to create the "circulant" matrix by defining the first row. We then define the coordinates for the vertices and use the gplot function is used to finally plot the graph.
You can refer to the following documentation to learn more about these functions:
You can also explore the following file exchange link to generate a circular matrix: https://www.mathworks.com/matlabcentral/fileexchange/22858-circulant-matrix
Hope this helps!

Categories

Find more on Line Plots in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!