关于巴拉班和和-巴拉班指数的几点看法

Art Discret. Appl. Math. Pub Date : 2020-05-04 DOI:10.26493/2590-9770.1241.7f8

M. Knor, J. Komorník, R. Škrekovski, Aleksandra Tepeh

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引用次数: 1

摘要

本文研究了Balaban指数和和-Balaban指数的最大值，并对文献中出现的部分正确的结果进行了修正。由此，我们解决了M. Aouchiche, G. Caporossi和P. Hansen关于Balaban和randiski指数比较的猜想。另外，我们证明了对于每一个k和足够大的n, Balaban索引值最大的前k个n阶图是树。最后给出了sum-Balaban指数的累加点。

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Some remarks on Balaban and sum-Balaban index

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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Art Discret. Appl. Math.

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