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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 6

Various spectra and energies of commuting graphs of finite rings

Rajat Kanti Nath
Walaa Nabil Taha Fasfous
Reza Sharafdini
Sayfa
1915–1925
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we compute various spectra and energies of commuting graphs of some classes of finite rings and study their consequences.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The commuting graph of a non-commutative ring $R$ with center $Z(R)$ is a simple undirected graph whose vertex set is $R\setminus Z(R)$ and two vertices $x, y$ are adjacent if and only if $xy = yx$.
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Temel Bulgular & Veri:The commuting graph of a non-commutative ring $R$ with center $Z(R)$ is a simple undirected graph whose vertex set is $R\setminus Z(R)$ and two vertices $x, y$ are adjacent if and only if $xy = yx$.
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Sonuç & Katkı:In this paper, we compute various spectra and energies of commuting graphs of some classes of finite rings and study their consequences.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:commuting graph · spectrum · energy

Abstract

The commuting graph of a non-commutative ring $R$ with center $Z(R)$ is a simple undirected graph whose vertex set is $R\setminus Z(R)$ and two vertices $x, y$ are adjacent if and only if $xy = yx$. In this paper, we compute various spectra and energies of commuting graphs of some classes of finite rings and study their consequences.

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Bu Makaleye Atıf Yap

Nath, R. K., Fasfous, W. N. T., Sharafdini, R. (2022). Various spectra and energies of commuting graphs of finite rings. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 6, 1915–1925. https://ajindex.com/articles/529558

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Kaynakça (19)

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