A quasi-regular graph is a graph such that degree of every vertex is the same 
except for a single vertex whose
degree is 
(Bozóki et al. 2020). Quasi-regular graphs must have an odd number
of vertices and an odd minimum vertex degree 
.
Quasi-regular graphs with 
, 5, ..., may be called quasi-cubic,
quasi-quintic, etc.
Examples of disconnected quasi-regular graphs include the graph unions 
and 
, where 
is a path graph, 
is a wheel graph, and 
is the tetrahedral
graph.
