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RUP
FAMNIT - Faculty of Mathematics, Science and Information Technologies
FHŠ - Faculty of Humanities
FM - Faculty of Management
FTŠ Turistica - Turistica – College of Tourism Portorož
FVZ - Faculty of Health Sciences
IAM - Andrej Marušič Institute
PEF - Faculty of Education
UPR - University of Primorska
ZUP - University of Primorska Press
COBISS
University of Primorska, University Library - all departments
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Title:
On the main distance-based entropies: the eccentricity- and Wiener-entropy
Authors:
ID
Cambie, Stijn
(
Author
)
ID
Dong, Yanni
(
Author
)
Files:
AMC_Cambie,_Dong_2026.pdf
(596,53 KB)
MD5: 1B35AA778D4FB1E090940016BA348AFC
Language:
English
Work type:
Article
Typology:
1.01 - Original Scientific Article
Organization:
ZUP - University of Primorska Press
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
Publication status:
Published
Publication version:
Version of Record
Publication date:
25.11.2025
Publisher:
Založba Univerze na Primorskem
Year of publishing:
2026
Number of pages:
21 str.
Numbering:
Vol. 26, no. 1, [article no.] P1.06
PID:
20.500.12556/RUP-22290
UDC:
51
eISSN:
1855-3974
DOI:
10.26493/1855-3974.3042.4c5
Publication date in RUP:
21.12.2025
Views:
158
Downloads:
2
Metadata:
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Record is a part of a journal
Title:
Ars mathematica contemporanea
Publisher:
Založba Univerze na Primorskem
ISSN:
1855-3974
Document is financed by a project
Funder:
Institute for Basic Science
Project number:
IBS-R029-C4
Funder:
Research Foundation Flanders
Project number:
1225224N
Funder:
National Natural Science Foundation of China
Project number:
12071370
Funder:
National Natural Science Foundation of China
Project number:
12131013
Funder:
National Natural Science Foundation of China
Project number:
U1803263
Licences
License:
CC BY 4.0, Creative Commons Attribution 4.0 International
Link:
http://creativecommons.org/licenses/by/4.0/
Description:
This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Secondary language
Language:
Slovenian
Title:
O glavnih entropijah, temelječih na razdalji: entropija ekscentričnosti in Wienerjeva entropija
Keywords:
entropija ekscentričnosti
,
Wienerjeva entropija
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