1. Exploring the bounds and relationships of chemical graph indices : master's thesisArbër Avdullahu, 2023, master's thesis Keywords: energy of a graph, Randić index, first Zagreb index, IRB index, extremal graph, spectrum, eigenvalue, metaheuristic Published in RUP: 05.10.2023; Views: 403; Downloads: 2 Full text (1,02 MB) |
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3. Mathematical aspects of Wiener indexMartin 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: 1131; Downloads: 35 Full text (434,58 KB) |
4. Edge-contributions of some topological indices and arboreality of molecular graphsTomaž 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: 881; Downloads: 18 Full text (158,93 KB) |
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6. Connected graphs of fixed order and size with minimal index : structural considerationsSlobodan Simić, Enzo M. Li Marzi, Francesco Belardo, 2004, original scientific article Keywords: spekter grafa, največja lastna vrednost, spektralni radij, indeks grafa, graph spectrum, largest eingenvalue, spectral radius, graph index, nested split graphs Published in RUP: 15.10.2015; Views: 3235; Downloads: 60 Link to full text |
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