In my last question ( Numbering in a derivative of azulene ), I asked about the numbered of a molecule in order to find the Vertex Adjacency Matrix (VAM) of the same molecule. To explain my question properly, I will do my best to show my effort from A to Z as follows: In general in order to find the VAM we use the formalism described by To apply it onto the molecule I am studying, I first applied it to azulene and with agreement with the paper Quantum Interference, Graphs, Walks, and Polynomials the VAM represented by A is:
Now by having the correct numbering to my molecule (Numbering in a derivative of azulene), it also should be a 10 x 10 matrix. The difference is instead of hydrogen we now have Oxygen and hydrogen Sulfide involved in positions 1,5 and 2,6 as shown:
Here are my questions: 1- Should I include the parameter h only for the weighted carbons since the numbering of the molecule I am studying includes only carbon? 2- If 1 is no, how should I include the k parameters described before hand?
Any other suggestions to find VAM is appreciated.