The diameter of the graph of a semiring

Nakassis, Anastase

doi:10.1090/S0002-9939-1976-0427162-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The diameter of the graph of a semiring
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by Anastase Nakassis PDF

Proc. Amer. Math. Soc. 60 (1976), 353-359 Request permission

Abstract:

In this paper, it is proven that the diameter of the graph of a semiring with more than two elements does not exceed three.

References

Y.-F. Lin and J. S. Ratti, The graphs of semirings, J. Algebra 14 (1970), 73–82. MR 268229, DOI 10.1016/0021-8693(70)90134-1
J. S. Ratti and Y.-F. Lin, The diameters of the graphs of semirings, J. Austral. Math. Soc. 11 (1970), 433–440. MR 0285572
J. S. Ratti and Y.-F. Lin, The graphs of semirings. II, Proc. Amer. Math. Soc. 30 (1971), 473–478. MR 289584, DOI 10.1090/S0002-9939-1971-0289584-6
Anastase Nakassis, Sur la connexité du graphe associé à un demianneau, C. R. Acad. Sci. Paris Sér. A-B 276 (1973), A105–A107 (French). MR 314917