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2023•Journal of Mathematical ChemistryOpen access

The cut method on hypergraphs for the Wiener index

Sandi Klavžar, Gašper Domen Romih

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Abstract

Abstract 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 ofk-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 necessaryk-uniform and/or not necessary linear are also developed.

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Abstract 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 ofk-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 necessaryk-uniform and/or not necessary linear are also developed.

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Available abstract

Abstract 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 ofk-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 necessaryk-uniform and/or not necessary linear are also developed.

Key concepts: Wiener index, Mathematical chemistry, Cube (algebra), Mathematics, Index (typography), Graph, Combinatorics, Discrete mathematics

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