State which of the following graphs are planar
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State which of the following graphs are planar

Question 2

State which of the following graphs are planar. For those which are planar, give a planar graph drawing. For those which are not planar, explain why they are not. (For reference, see Section 7.5 and Week 7 practical exercises.)


Hint
MathematicsIn graph theory, a planar graph is a graph that can be drawn on a plane so that its edges only overlap at their ends, or one that can be contained inside the plane. In other words, it may be drawn without any edges overlapping. If a graph G=(V, E) can be drawn in the plane without having any edges meet at locations other than the vertex, then it is said to be planar. A planar embedding ...

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