20.500.12556/RUP-22290 On the main distance-based entropies: the eccentricity- and Wiener-entropy O glavnih entropijah, temelječih na razdalji: entropija ekscentričnosti in Wienerjeva entropija We 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. eccentricity-entropy Wiener-entropy entropija ekscentričnosti Wienerjeva entropija true false true Založba Univerze na Primorskem Angleški jezik Slovenski jezik Članek v reviji 2025-12-21 23:01:11 2025-12-21 23:01:12 2026-01-05 12:12:56 0000-00-00 00:00:00 2026 0 0 21 str. no. 1, [article no.] P1.06 Vol. 26 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-11-25 51 1855-3974 10.26493/1855-3974.3042.4c5 AMC_Cambie,_Dong_2026.pdf AMC_Cambie,_Dong_2026.pdf 1 1B35AA778D4FB1E090940016BA348AFC 69430b8d11d679f4e7811e98bc0ab82ae1f3514f23d6495b51ff38400722f7cd 76169de6-deb9-11f0-8f0b-005056ac49c0 https://repozitorij.upr.si/Dokument.php?lang=slv&id=32371 Založba Univerze na Primorskem 0 0 0