Generalized Total Graphs

Authors :: T. Asir
David F. Anderson
T. Tamizh Chelvam
Ayman Badawi
Source :: Graphs from Rings ISBN: 9783030884093
Publication Year :: 2021
Publisher :: Springer International Publishing, 2021.
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.