A (general) bipartite graph G is a simple graph whose vertex set can be partitioned into two disjoint nonempty subsets V1 and V2 such that vertices in V1 may be connected to vertices in V2 , but no vertices in V1 are connected to other vertices in V1 and no vertices in V2 are connected to other vertices in V2 . For example, the bipartite graph G illustratedin (i) can be redrawn as shown in (ii). From the drawing in (ii), you can see that G is bipartite with mutually disjoint vertex sets V1 = { v1 , v3 , v5 } and V2 = { v2 , v4 , v6 } .Find which of the following graphs are bipartite. Redraw the bipartite graphs so that their bipartite nature is evident

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.7: Applications
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A (general) bipartite graph G is a simple graph whose vertex set can be partitioned into two disjoint nonempty subsets V1 and V2 such that vertices in V1 may be connected to vertices in V2 , but no vertices in V1 are connected to other vertices in V1 and no vertices in V2 are connected to other vertices in V2 . For example, the bipartite graph G illustrated
in (i) can be redrawn as shown in (ii). From the drawing in (ii), you can see that G is bipartite with mutually disjoint vertex sets V1 = { v1 , v3 , v5 } and V2 = { v2 , v4 , v6 } .
Find which of the following graphs are bipartite. Redraw the bipartite graphs so that their bipartite nature is evident

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