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Matematicheskie Zametki, 2018, Volume 103, Issue 5, Pages 765–768
DOI: https://doi.org/10.4213/mzm11636 (Mi mzm11636) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Distances on the Commuting Graph of the Ring of Real Martices

Ya. Shitov
Full-text PDF (401 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm11636
Abstract: The vertices of the commuting graph of a semigroup $S$ are the noncentral elements of this semigroup, and its edges join all pairs of elements $g$, $h$ that satisfy the relation $gh=hg$. The paper presents a proof of the fact that the diameter of the commuting graph of the semigroup of real matrices of order $n\ge 3$ is equal to 4. A survey of results in that subject matter is presented, and several open problems are formulated.
Keywords: commuting graph, matrix theory.
Received: 13.04.2017
English version:
Mathematical Notes, 2018, Volume 103, Issue 5, Pages 832–835
DOI: https://doi.org/10.1134/S0001434618050152
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: Ya. Shitov, “Distances on the Commuting Graph of the Ring of Real Martices”, Mat. Zametki, 103:5 (2018), 765–768; Math. Notes, 103:5 (2018), 832–835
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:44
    First page:30
     
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