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 Vi₁, and the same for V2). (a) Draw a bipartite graph with 5 vertices and 5 edges. (b) What is the maximum number of edges for a bipartite graph with 2n vertices (suppose n > 1)?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section3.7: Applications
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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).
(a) Draw a bipartite graph with 5 vertices and 5 edges.
(b) 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). (a) Draw a bipartite graph with 5 vertices and 5 edges. (b) What is the maximum number of edges for a bipartite graph with 2n vertices (suppose n > 1)?
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