The Total Graphs of Finite Commutative Semirings

The Total Graphs of Finite Commutative Semirings Anderson and Badawi (J Algebra 320(7):2706–2719, 2008) characterized all commutative rings having total graphs without any 3-cycles. In this paper we expand those results to the semiring setting and obtain the characterization of finite commutative semirings having total graphs without any 3-cycles. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Results in Mathematics Springer Journals

The Total Graphs of Finite Commutative Semirings

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Publisher
Springer International Publishing
Copyright
Copyright © 2016 by Springer International Publishing
Subject
Mathematics; Mathematics, general
ISSN
1422-6383
eISSN
1420-9012
D.O.I.
10.1007/s00025-016-0595-y
Publisher site
See Article on Publisher Site

Abstract

Anderson and Badawi (J Algebra 320(7):2706–2719, 2008) characterized all commutative rings having total graphs without any 3-cycles. In this paper we expand those results to the semiring setting and obtain the characterization of finite commutative semirings having total graphs without any 3-cycles.

Journal

Results in MathematicsSpringer Journals

Published: Aug 27, 2016

References

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