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Economic Statistics : Study Guide
Borut Kodrič, 2023, other educational material

Abstract: The study guide is designed to introduce students to the main concepts used by statisticians and economists to measure economic phenomena, while emphasizing the practical applications of these concepts in real-world scenarios. The study guide describes how the production of economic statistics is organised, who are the main data producers, what are the main databases available over the Internet and how can the quality of statistics be assessed. Thanks to this study guide, students will better understand where to find and how to use statistics on national accounts, government’s public deficit and debt, short-term economic indicators, international trade and globalisation, labour market, prices and inflation, etc.
Keywords: economic statistics, index numbers, price statistics, demographic statistics, labour force statistics, labour market statistics, short-term business indicators, national accounts, productivity analysis
Published in RUP: 13.04.2023; Views: 1338; Downloads: 41
.pdf Full text (1,09 MB)

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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)

5.
On a conjecture about the ratio of Wiener index in iterated line graphs
Katarína Hriňáková, Martin Knor, Riste Škrekovski, 2018, original scientific article

Keywords: Wiener index, line graph, tree, iterated line graph
Published in RUP: 03.01.2022; Views: 1032; Downloads: 24
.pdf Full text (391,35 KB)

6.
Mathematical aspects of Wiener index
Martin Knor, Riste Škrekovski, Aleksandra Tepeh, 2016, original scientific article

Abstract: 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.
Keywords: Wiener index, total distance, topological index, molecular descriptor, chemical graph theory
Published in RUP: 03.01.2022; Views: 982; Downloads: 27
.pdf Full text (434,58 KB)

7.
Edge-contributions of some topological indices and arboreality of molecular graphs
Tomaž Pisanski, Janez Žerovnik, 2009, original scientific article

Abstract: Some graph invariants can be computed by summing certain values, called edge-contributions over all edges of graphs. In this note we use edge-contributions to study relationships among three graph invariants, also known as topological indices in mathematical chemistry: Wiener index, Szeged index and recently introduced revised Szeged index. We also use the quotient between the Wiener index and the revised Szeged index to study tree-likeness of graphs.
Keywords: mathematical chemistry, chemical graph theory, topological index, revised Szeged index
Published in RUP: 30.12.2021; Views: 738; Downloads: 18
.pdf Full text (158,93 KB)

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Digraphs with small automorphism groups that are Cayley on two nonisomorphic groups
Luke Morgan, Joy Morris, Gabriel Verret, 2020, original scientific article

Keywords: Cayley digraphs, Cayley index
Published in RUP: 17.06.2020; Views: 1560; Downloads: 38
.pdf Full text (396,72 KB)

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