Unit Graphs Associated with Rings

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Graphs defined on groups (2021, background): “Another graph associated with a ring is the unit graph, in which a and b are joined whenever a + b is a unit [13].”
THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING (2013, background): “H = R\U(R)), then observe that GTH(R), the complement graph of GTH(R), is the unit graph of R in the sense of [11, 24].”
On the Total Graph and Its Complement of a Commutative Ring (2013, background): “4 [4], authors proved that if U R is a dominating set in G R , then G R is connected.”
Graphs Attached to Rings Revisited (2011, background): “Theorem 3.11 ([ 6 ], Proposition 4.7) Let R be a field with |R| > 2, and let Mn(R), n > 1, be the ring of n × n matrices over R. Then the unit graph G(Mn(R)) is a connected graph.”