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In: Advanced Math

A bipartite graph is drawn on a channel if the vertices of one partite set are...

A bipartite graph is drawn on a channel if the vertices of one partite set are placed on one line in the plane (in some order) and the vertices of the other partite set are placed on a line parallel to it and the edges are drawn as straight-line segments between them. Prove that a connected graph G can be drawn on a channel without edge crossings if and only if G is a caterpillar. (***Please do on paper)

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