Altenburg polynomial

Hosoya29) extended the Altenburg polynomial (originally devised for acyclic graphs) to cyclic graphs. 

The Wiener index is closely related to the Altenburg polynomial of a graph, in fact graphs with the same Altenburg polynomials always have the same Wiener numbers. 

The Altenburg polynomial is another example of counting polynomials defined for H-depleted molecular graph Q as... 

Those based on the topological distance matrix, including the Wiener index, the polarity number, the distance sum, the Altenburg polynomial, the mean square distance, the Hosoya index, and the distance polynomial ... 

---