This paper introduces a variant of entropy measures based on vertex eccentricity and applies it to all graphs representing the isomers of octane. Taking into account the vertex degree as well (degree-ecc-entropy), we find a good correlation with the acentric factor of octane isomers. In particular, we compute the degree-ecc-entropy for three classes of dendrimer graphs.
Ghorbani, Modjtaba; Dehmer, Matthias; Zangi, Samaneh; Mowshowitz, Abbe; and Emmert-Streib, Frank, "A Note on Distance-Based Entropy of Dendrimers" (2019). CUNY Academic Works.