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Communications in Algebra Volume 38, 2010 - Issue 3
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Original Articles

On Commuting Graphs of Finite Matrix Rings

A. Mohammadian School of Mathematics, Institute for Research in Fundamental Sciences (IPM), Tehran, IranCorrespondence[email protected]
Pages 988-994 | Received 26 Oct 2008, Published online: 11 Mar 2010

Citations (14)

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Read on this site (5)

H. R. Dorbidi & R. Manaviyat. (2024) The commuting graph of the ring M3(Fq). Linear and Multilinear Algebra 72:1, pages 25-30.
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G. Dolinar, B. Kuzma & N. Stopar. (2020) The orthogonality relation classifies finite-dimensional formally real simple Jordan algebras. Communications in Algebra 48:6, pages 2274-2292.
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Xiaobin Ma & Dein Wong. (2016) Automorphism group of an ideal-relation graph over a matrix ring. Linear and Multilinear Algebra 64:2, pages 309-320.
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S. Akbari & R. Nikandish. (2014) Some results on the intersection graph of ideals of matrix algebras. Linear and Multilinear Algebra 62:2, pages 195-206.
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Jitsupat Rattanakangwanwong & Yotsanan Meemark. Some applications of eigenvalues of unitary Cayley graphs of matrix rings over finite fields. Linear and Multilinear Algebra 0:0, pages 1-20.
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Articles from other publishers (9)

Subarsha Banerjee. (2022) Perfect codes and universal adjacency spectra of commuting graphs of finite groups. Journal of Algebra and Its Applications 22:04.
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Walaa Nabil Taha FASFOUS, Rajat NATH & Reza SHARAFDİNİ. (2020) Various spectra and energies of commuting graphs of finite rings. Hacettepe Journal of Mathematics and Statistics 49:6, pages 1915-1925.
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Rajat Kanti Nath. (2019) A note on super integral rings. Boletim da Sociedade Paranaense de Matemática 38:4, pages 213-218.
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H.R. Dorbidi. (2019) On a conjecture about the commuting graphs of finite matrix rings. Finite Fields and Their Applications 56, pages 93-96.
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D. Dolžan, D. Kokol Bukovšek & B. Kuzma. (2017) On diameter of components in commuting graphs. Linear Algebra and its Applications 522, pages 161-174.
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David Dolžan, Damjana Kokol Bukovšek, Bojan Kuzma & Polona Oblak. (2016) On diameter of the commuting graph of a full matrix algebra over a finite field. Finite Fields and Their Applications 37, pages 36-45.
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B. R. Bakhadly, A. E. Guterman & O. V. Markova. (2015) Graphs Defined by Orthogonality. Journal of Mathematical Sciences 207:5, pages 698-717.
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C. Miguel. (2013) A note on a conjecture about commuting graphs. Linear Algebra and its Applications 438:12, pages 4750-4756.
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David Dolžan, Damjana Kokol Bukovšek & Polona Oblak. (2012) Diameters of commuting graphs of matrices over semirings. Semigroup Forum 84:2, pages 365-373.
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