Generalized Total Graphs

David F. Anderson (), T. Asir (), Ayman Badawi () and T. Tamizh Chelvam ()
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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

Chapter Chapter 9 in Graphs from Rings, 2021, pp 401-435 from Springer

Abstract: 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.

Date: 2021
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DOI: 10.1007/978-3-030-88410-9_9

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