On the main distance-based entropies: the eccentricity- and Wiener-entropyCambie, Stijn (Avtor) Dong, Yanni (Avtor) eccentricity-entropyWiener-entropyWe define the Wiener-entropy, which is together with the eccentricity-entropy one of the most natural distance-based graph entropies. By deriving the (asymptotic) extremal behaviour, we conclude that the Wiener-entropy of graphs of a given order is more spread than is the case for the eccentricity-entropy. We solve 3 conjectures on the eccentricity-entropy and give a conjecture on the Wiener-entropy related to some surprising behaviour on the graph minimizing it.Založba Univerze na Primorskem20262025-12-21 23:01:11Članek v reviji22290UDK: 51eISSN: 1855-3974DOI: 10.26493/1855-3974.3042.4c5sl