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Generalized Total Graphs

In: Graphs from Rings

Author

Listed:
  • David F. Anderson

    (University of Tennessee, Department of Mathematics)

  • T. Asir

    (Madurai Kamaraj University, Department of Mathematics)

  • Ayman Badawi

    (American University of Sharjah, Department of Mathematics, Nab 262)

  • T. Tamizh Chelvam

    (Manonmaniam Sundaranar University, Department of Mathematics)

Abstract

In this chapter, we discuss some generalizations of total graphs of commutative rings. Actually, total graphs of commutative rings are generalized through ideals, multiplicatively closed sets, and multiplicative-prime sets. Further, we discuss the concept of total graphs corresponding to modules and commutative semirings.

Suggested Citation

  • David F. Anderson & T. Asir & Ayman Badawi & T. Tamizh Chelvam, 2021. "Generalized Total Graphs," Springer Books, in: Graphs from Rings, chapter 0, pages 401-435, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-88410-9_9
    DOI: 10.1007/978-3-030-88410-9_9
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