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1.
Some remarks on Balaban and sum-Balaban index
Martin 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: 1118; Prenosov: 22
.pdf Celotno besedilo (310,27 KB)

2.
On a conjecture about the ratio of Wiener index in iterated line graphs
Katarína Hriňáková, Martin Knor, Riste Škrekovski, 2018, izvirni znanstveni članek

Ključne besede: Wiener index, line graph, tree, iterated line graph
Objavljeno v RUP: 03.01.2022; Ogledov: 1265; Prenosov: 33
.pdf Celotno besedilo (391,35 KB)

3.
Mathematical aspects of Wiener index
Martin Knor, Riste Škrekovski, Aleksandra Tepeh, 2016, izvirni znanstveni članek

Opis: The Wiener index (i.e., the total distance or the transmission number), defined as the sum of distances between all unordered pairs of vertices in a graph, is one of the most popular molecular descriptors. In this article we summarize some results, conjectures and problems on this molecular descriptor, with emphasis on works we were involved in.
Ključne besede: Wiener index, total distance, topological index, molecular descriptor, chemical graph theory
Objavljeno v RUP: 03.01.2022; Ogledov: 1262; Prenosov: 38
.pdf Celotno besedilo (434,58 KB)

4.
On 12-regular nut graphs
Nino Bašić, Martin Knor, Riste Škrekovski, 2021, izvirni znanstveni članek

Ključne besede: nut graph, adjacency matrix, singular matrix, core graph, Fowler construction, regular graph
Objavljeno v RUP: 16.07.2021; Ogledov: 1217; Prenosov: 26
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