Mugnolo's First Example

A balalaika-shaped graph

3_string_prim_balalaika.png
L = [3 4 sqrt(10) pi];
numEigs=6;

The basic graph

Calculate and display the first few eigenvalues and eigenfunctions;
Phi1= quantumGraphFromTemplate('balalaika',Lvec=L,discretization='Chebyshev');
Phi1.plot('layout');
[V1,d1]=Phi1.eigs(numEigs);
for k=1:numEigs
figure
Phi1.plot(V1(:,k));
title(sprintf('$\\omega_{%i} = %0.3f$',k,d1(k)))
end