Computer Science Homework Solutions
Problem
#113567

Automata and Computability

An undirected graph is bipartite if its nodes may divided into two sets so that all edges go from a node in one set to a node in the other set.  Show that a graph is bipartite if and only if it doesn’t contain a cycle that has an odd number of nodes.

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Problem 39

An undirected graph is bipartite if its nodes may divided into two sets
so that all edges go from a node in one set to a node in the other set.
Show that a graph is bipartite if and only if it doesn’t contain a
cycle that has an odd number of nodes.

Let

BIPARTITE = {(G( | G is bipartite graph}.

Show that BIPARTITE ( NL.
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