Finding the weighted parameters of the vertex adjacency matrix for a derivative of azulene
As a comment: The matrix-representation you search emerges from graph theory, and mathematics.  The numbers drawn in the structures earlier (1 for the carbonyl carbon, 2 to the carbon adjacent to the -SH group) a synthetic chemist refers to (e.g., "let us introduce an alkyl chain in the 4-position") do not (necessarily) relate to the numbers to denote the vertices in these nets.  These are seasoned descriptions are still reviewed (2nd edition), and apparently  the Open Molecular Generator were one tool to generate them.