Problem 8. A bipartite graph
G = (V,E) is a graph whose vertices can
be partitioned into two (disjoint) sets V1 and
V2, such that every edge joins a vertex in
V1 with a vertex in V2.
This means no edges are within V1 or
V2 (or symbolically: ∀u, v
∈ V1, {u,v}
∉ E and ∀u,v ∈
V2, {u,v} ∉ E).
8(a) Show that the complete graph K2 is a
bipartite graph.
8(b) Prove that no complete graph
Kn,...