Mathematical aspects of Wiener index

Martin Knor, Riste Škrekovski, Aleksandra Tepeh

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


Graph distance, Wiener index, average distance, topological index, molecular descriptor, chemical graph theory

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DOI: https://doi.org/10.26493/1855-3974.795.ebf

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications