On graph spectra for finite upper half planes over Galois rings

We introduce the finite upper half planes over Galois rings and we investigate the structure of the association schemes attached to the planes. As a consequence, it is shown that the graphs obtained from the upper half planes are not Ramanujan except for few exceptions.

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Publication Details

Journal
International Journal of Mathematics for Industry
Published
2025-12-01
DOI
https://doi.org/10.1142/s2661335225500169
Primary Topic
Finite Group Theory Research
Type
article
Field-Weighted Citation Impact
0.00
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article

On graph spectra for finite upper half planes over Galois rings

Makoto Tagami
International Journal of Mathematics for Industry
Finite Group Theory Research
article

On graph spectra for finite upper half planes over Galois rings

Makoto Tagami
article en

Abstract

We introduce the finite upper half planes over Galois rings and we investigate the structure of the association schemes attached to the planes. As a consequence, it is shown that the graphs obtained from the upper half planes are not Ramanujan except for few exceptions.

International Journal of Mathematics for IndustryVol. 17(01)
Kyushu Institute of Technology (JP)
Openalex Percentile: Top 19%
Finite Group Theory Research
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On graph spectra for finite upper half planes over Galois rings — Makoto Tagami · International Journal of Mathematics for Industry (2025) | TGRS Research Map | TGRS