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Some remarks on Balaban and sum-Balaban indexMartin Knor,
Jozef Komorník,
Riste Škrekovski,
Aleksandra Tepeh, 2020, izvirni znanstveni članek
Opis: 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.
Ključne besede: topological index, Balaban index, sum-Balaban index, Randić index
Objavljeno v RUP: 03.01.2022; Ogledov: 1014; Prenosov: 21
Celotno besedilo (310,27 KB)
