The cut method on hypergraphs for the Wiener index

The cut method on hypergraphs for the Wiener index

The cut method has been proved to be extremely useful in chemical graph theory. In this paper the cut method is extended to hypergraphs. More precisely, the method is developed for the Wiener index of k -uniform partial cube-hypergraphs. The method is applied to cube-hypergraphs and hypertrees. Exte...

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Veröffentlicht in:Journal of mathematical chemistry 2023-08, Vol.61 (7), p.1592-1603
Hauptverfasser: Klavžar, Sandi, Romih, Gašper Domen
Format: Artikel
Sprache:eng
Schlagworte:
Chemistry
Chemistry and Materials Science
Graph theory
Math. Applications in Chemistry
Original Paper
Physical Chemistry
Theoretical and Computational Chemistry
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Zusammenfassung:The cut method has been proved to be extremely useful in chemical graph theory. In this paper the cut method is extended to hypergraphs. More precisely, the method is developed for the Wiener index of k -uniform partial cube-hypergraphs. The method is applied to cube-hypergraphs and hypertrees. Extensions of the method to hypergraphs arising in chemistry which are not necessary k -uniform and/or not necessary linear are also developed.
ISSN:0259-9791
1572-8897
DOI:10.1007/s10910-023-01478-4