JSIAM Letters
Online ISSN : 1883-0617
Print ISSN : 1883-0609
ISSN-L : 1883-0617
On the spectra of directed graphs consisting of linearly connected hexagons
Ai KashiharaRiku AsanoHiroki Minamide
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ジャーナル フリー

2023 年 15 巻 p. 57-60

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In 2020, through his work on a numerical evaluation for the aromaticity, the second author conjectured that the eigenvalues of a directed graph corresponding to polyacen (linearly connected r hexagons) would draw ⌊(r+1)/2⌋ hexagons on the complex plane. In this letter, we would like to introduce operations on directed graphs and prove his conjecture in a general form.

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© 2023, The Japan Society for Industrial and Applied Mathematics
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