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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: 1032; Prenosov: 24
.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: 982; Prenosov: 27
.pdf Celotno besedilo (434,58 KB)

4.
Edge-contributions of some topological indices and arboreality of molecular graphs
Tomaž Pisanski, Janez Žerovnik, 2009, izvirni znanstveni članek

Opis: 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.
Ključne besede: mathematical chemistry, chemical graph theory, topological index, revised Szeged index
Objavljeno v RUP: 30.12.2021; Ogledov: 740; Prenosov: 18
.pdf Celotno besedilo (158,93 KB)

5.
Some results on the index of unicyclic graphs
Francesco Belardo, Enzo M. Li Marzi, Slobodan Simić, 2006, izvirni znanstveni članek

Ključne besede: graph eigenvalues, graph index, unicyclic graphs
Objavljeno v RUP: 15.10.2015; Ogledov: 2323; Prenosov: 148
URL Povezava na celotno besedilo

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Trees with minimal index and diameter at most four
Francesco Belardo, Enzo M. Li Marzi, Slobodan Simić, 2010, objavljeni znanstveni prispevek na konferenci

Ključne besede: eigenvalues, graph index, trees
Objavljeno v RUP: 15.10.2015; Ogledov: 2288; Prenosov: 174
URL Povezava na celotno besedilo

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