| Title: | Some remarks on Balaban and sum-Balaban index |
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| Authors: | ID Knor, Martin (Author)
ID Komorník, Jozef (Author)
ID Škrekovski, Riste (Author)
ID Tepeh, Aleksandra (Author) |
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| Files: |  RAZ_Knor_Martin_i2020.pdf (310,27 KB)
MD5: EB7CBB032EBDD9FF5C1AE911367FB7FF
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| Language: | English |
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| Work type: | Unknown |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | In the paper we study maximal values of Balaban and sum-Balaban index, and correct some results appearing in the literature which are only partially correct. Henceforth, we were able to solve a conjecture of M. Aouchiche, G. Caporossi and P. Hansen regarding the comparison of Balaban and Randić index. In addition, we showed that for every k and large enough n, the first k graphs of order n with the largest value of Balaban index are trees. We conclude the paper with a result about the accumulation points of sum-Balaban index. |
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| Keywords: | topological index, Balaban index, sum-Balaban index, Randić index |
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| Year of publishing: | 2020 |
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| Number of pages: | str. 1-10 |
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| Numbering: | Vol. 3, iss. 2 |
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| PID: | 20.500.12556/RUP-17640  |
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| UDC: | 519.17 |
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| ISSN on article: | 2590-9770 |
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| DOI: | 10.26493/2590-9770.1241.7f8 |
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| COBISS.SI-ID: | 16979459 |
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| Publication date in RUP: | 03.01.2022 |
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| Views: | 1001 |
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| Downloads: | 21 |
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