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1.
Some remarks on Balaban and sum-Balaban index
Martin Knor, Jozef Komorník, Riste Škrekovski, Aleksandra Tepeh, 2020, original scientific article

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.
Keywords: topological index, Balaban index, sum-Balaban index, Randić index
Published in RUP: 03.01.2022; Views: 902; Downloads: 21
.pdf Full text (310,27 KB)

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On the defect of vertex-transitive graphs of given degree and diameter
Geoffrey Exoo, Robert Jajcay, Martin Mačaj, Jozef Širan, 2019, original scientific article

Keywords: degree, diameter, vertex-transitive
Published in RUP: 21.01.2019; Views: 1808; Downloads: 161
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