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On the main distance-based entropies: the eccentricity- and Wiener-entropy
Stijn Cambie, Yanni Dong, 2026, original scientific article

Abstract: 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.
Keywords: eccentricity-entropy, Wiener-entropy
Published in RUP: 21.12.2025; Views: 204; Downloads: 2
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Scaling laws of graphs of 3D protein structures
Jure Pražnikar, 2021, original scientific article

Keywords: graph theory, scaling law, macromolecules, radius of gyration, eccentricity
Published in RUP: 04.02.2021; Views: 3203; Downloads: 43
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Efficient domination in cayley graphs of generalized dihedral groups
Cafer Çalişkan, Štefko Miklavič, Sibel Özkan, Primož Šparl, 2020, original scientific article

Keywords: eccentricity, efficient domination set, Cayley graph, generalized dihedral group
Published in RUP: 22.06.2020; Views: 3533; Downloads: 113
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Eccentricity of networks with structural constraints
Matjaž Krnc, Jean-Sébastien Sereni, Riste Škrekovski, Zelealem B. Yilma, 2018, original scientific article

Keywords: eccentricity, network, bipartite graph, complex network, maximum degree
Published in RUP: 22.08.2019; Views: 3451; Downloads: 153
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