Adjacency Sets and Degrees
Let an adjacency set Vx = {y | (x, y) e E}. Then G = (V, A) where A = {Vx | x e V}.
For G undirected, the degree of a vertex x is the number of edges e in which x is one of the endpoints of e.
d=4
d=4
d=1
d=3
d=2
d=0
undirected
graph with
2 components
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