| Title: | New results on Wiener index of trees with a given diameter |
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| Authors: | ID Borovićanin, Bojana (Author)
ID Božović, Dragana (Author)
ID Glogić, Edin (Author)
ID Mesarič Štesl, Daša (Author)
ID Špacapan, Simon (Author)
ID Zogić, Emir (Author) |
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| Files: |  https://www.tandfonline.com/doi/epdf/10.2989/16073606.2026.2718457?needAccess=true
 New_results_on_Wiener_index_of_trees_with_a_given_diameter.pdf (797,43 KB)
MD5: 5117A3442AE664F404690F525DDA7A8C
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | We study the Wiener index of a class of trees with fixed diameter and order. A double broom is a tree such that there exist two vertices u and v, such that each leaf of T is adjacent to u or v. We prove that for a tree T of diameter d and (sufficiently large) order n such that , T has maximum Wiener index (in the class of trees of diameter d and order n) if and only if T is a balanced double broom. Our results are sharp up to a small constant. |
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| Keywords: | Wiener index, trees, diameter |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 08.10.2025 |
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| Publication date: | 11.09.2026 |
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| Publisher: | Taylor & Francis |
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| Year of publishing: | 2026 |
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| Number of pages: | 16 str. |
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| PID: | 20.500.12556/DKUM-100466  |
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| UDC: | 519.17 |
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| ISSN on article: | 1727-933X |
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| COBISS.SI-ID: | 291147267 |
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| DOI: | 10.2989/16073606.2026.2718457 |
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| Copyright: | ©2026The Author(s)
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| Publication date in DKUM: | 18.09.2026 |
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| Views: | 90 |
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| Downloads: | 5 |
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| Metadata: |    |
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| Categories: | Misc.
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