TY - JOUR
T1 - On properties of distance-based entropies on fullerene graphs
AU - Ghorbani, Modjtaba
AU - Dehmer, Matthias
AU - Rajabi-Parsa, Mina
AU - Mowshowitz, Abbe
AU - Emmert-Streib, Frank
PY - 2019/5/1
Y1 - 2019/5/1
N2 - In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph Iα(G), a degree-based entropy measure, the eccentric-entropy I fσ(G), the Hosoya entropy H(G) and, finally, the radial centric information entropy Hecc. We compare these measures on two infinite classes of fullerene graphs denoted by A12n+4 and B12n+6. We have chosen these measures as they are easily computable and capture meaningful graph properties. To demonstrate the utility of these measures, we investigate the Pearson correlation between them on the fullerene graphs.
AB - In this paper, we study several distance-based entropy measures on fullerene graphs. These include the topological information content of a graph Iα(G), a degree-based entropy measure, the eccentric-entropy I fσ(G), the Hosoya entropy H(G) and, finally, the radial centric information entropy Hecc. We compare these measures on two infinite classes of fullerene graphs denoted by A12n+4 and B12n+6. We have chosen these measures as they are easily computable and capture meaningful graph properties. To demonstrate the utility of these measures, we investigate the Pearson correlation between them on the fullerene graphs.
KW - Eccentricity
KW - Graph entropy
KW - Hosoya polynomial
U2 - 10.3390/e21050482
DO - 10.3390/e21050482
M3 - Article
VL - 21
JO - Entropy
JF - Entropy
SN - 1099-4300
IS - 5
M1 - 482
ER -