A graph is bipartite if its vertex set can be partitioned into two sets V₁ and V2 such all edges are between V₁ and V2 (i.e. there are no edges joining vertices inside V₁, and the same for V2). Draw a bipartite graph with 5 vertices and 5 edges. What is the maximum number of edges for a bipartite graph with 2n vertices (suppose n ≥ 1)?

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A graph is bipartite if its vertex set can be partitioned into two sets V₁ and V2 such all
edges are between V₁ and V2 (i.e. there are no edges joining vertices inside V₁, and the
same for V2).
Draw a bipartite graph with 5 vertices and 5 edges.
What is the maximum number of edges for a bipartite graph with 2n vertices (suppose
n ≥ 1)?
Transcribed Image Text:A graph is bipartite if its vertex set can be partitioned into two sets V₁ and V2 such all edges are between V₁ and V2 (i.e. there are no edges joining vertices inside V₁, and the same for V2). Draw a bipartite graph with 5 vertices and 5 edges. What is the maximum number of edges for a bipartite graph with 2n vertices (suppose n ≥ 1)?
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