The minimum Kirchhoff index of phenylene chains

نویسندگان

چکیده

Let G be a connected graph. The resistance distance between any two vertices of is equal to the effective them in corresponding electrical network constructed from by replacing each edge with unit resistor. Kirchhoff index defined as sum distances all pairs vertices. Recently, Yang and Wang determined maximum phenylene chains proposed conjecture about minimum index. In this note, we characterize respect index, thereby prove conjecture.

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2023

ISSN: ['1872-6771', '0166-218X']

DOI: https://doi.org/10.1016/j.dam.2023.06.043