The Total Graphs of Finite Rings |
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| Authors: | David Dolžan |
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| Affiliation: | Department of Mathematics, Faculty of Mathematics and Physics , University of Ljubljana , Ljubljana , Slovenia |
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| Abstract: | In this paper we extend the study of total graphs τ(R) to noncommutative finite rings R. We prove that τ(R) is connected if and only if R is not local, and we see that in that case τ(R) is always Hamiltonian. We also find an upper bound for the domination number of τ(R) for all finite rings R. |
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| Keywords: | Finite ring Total graph Zero-divisor |
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