[RDM]ij=  |
LE - [DM]ij if i ≠ j |
| 0 otherwise (96) |
where LE is the longest elongation (detour distance) in a graph.
As an example of the reverse-vertex-detour matrix, RDM for G1 (see structure A in Figure 2) is given below.
In parallel to the reverse-Wiener matrix, the reverse-detour matrix , denoted by RDM, can be defined by means of the vertex-detour matrix:
[RDM]ij= |
LE - [DM]ij if i ≠ j |
| 0 otherwise (96) |
where LE is the longest elongation (detour distance) in a graph.
As an example of the reverse-vertex-detour matrix, RDM for G1 (see structure A in Figure 2) is given below.
RDM(G1)= |
 |
0 |
5 |
4 |
1 |
2 |
1 |
0 |
 |
5 |
0 |
5 |
2 |
3 |
2 |
1 |
|||
4 |
5 |
0 |
3 |
4 |
3 |
2 |
|||
1 |
2 |
3 |
0 |
3 |
4 |
3 |
|||
2 |
3 |
4 |
3 |
0 |
3 |
2 |
|||
1 |
2 |
3 |
4 |
3 |
0 |
5 |
|||
0 |
1 |
2 |
3 |
2 |
5 |
0 |
Molecular descriptors such as the reverse-detour index can be obtained from the reverse-detour matrix.
