The diameter of the graph of a semiring
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- by Anastase Nakassis
- Proc. Amer. Math. Soc. 60 (1976), 353-359
- DOI: https://doi.org/10.1090/S0002-9939-1976-0427162-0
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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
Bibliographic Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 353-359
- MSC: Primary 05C99
- DOI: https://doi.org/10.1090/S0002-9939-1976-0427162-0
- MathSciNet review: 0427162