Orientations of hexagonal chains with extremal values of the Randić index

Sergio Bermudo; Juan Monsalve; Juan Rada

doi:10.1002/qua.26744

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Orientations of hexagonal chains with extremal values of the Randić index

Sergio Bermudo Juan Monsalve Juan Rada

Year: 2021 Journal: International Journal of Quantum Chemistry Vol: 121 (18) Publisher: Wiley

DOI: 10.1002/qua.26744

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Abstract

Abstract Let D be a digraph with set of vertices V ( D ) and set of arcs A ( D ). Recently, the Randić index of D was extended to digraphs as urn:x-wiley:00207608:media:qua26744:qua26744-math-0001 where and are the out‐degree and in‐degree of u and v , respectively. In this paper we study the extremal values of R over the set of all orientations of hexagonal chains with k hexagons.

Keywords:

Digraph Combinatorics Hexagonal crystal system Set (abstract data type) Index (typography) Degree (music) Mathematics Topological index Chemistry Physics Crystallography Computer science

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Orientations of hexagonal chains with extremal values of the Randić index

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