5. Given an undirected graph with n vertices and m edges, find an O(n+m) time algorithm that determines whether it is possible to color all the vertices red and blue such that every edge is between a red vertex and blue vertex. If such a coloring exists, your algorithm should produce one.

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5.
Given an undirected graph with n vertices and m edges, find an O(n+m) time algorithm
that determines whether it is possible to color all the vertices red and blue such that every edge is
between a red vertex and blue vertex. If such a coloring exists, your algorithm should produce one.
Transcribed Image Text:5. Given an undirected graph with n vertices and m edges, find an O(n+m) time algorithm that determines whether it is possible to color all the vertices red and blue such that every edge is between a red vertex and blue vertex. If such a coloring exists, your algorithm should produce one.
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Please recheck the answer, since in the before solution for the same question, you answered using DFS algorithm.

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