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Journals / 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
Pages
1915–1925
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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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Key Findings & Data: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 $xy = yx$.
💡
Conclusion & Impact:In this paper, we compute various spectra and energies of commuting graphs of some classes of finite rings and study their consequences.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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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Cite This Article

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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