Show the following graph is nonplanar by finding a $K_{3,3}$ configuration in the graph. Give your answer using two sets of three vertices contained in the $K_{3,3}$. a b c d e f g h i j
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Which of these nonplanar graphs have the property that the removal of any vertex and all edges incident with that vertex produces a planar graph? $\begin{array}{llll}{\text { a) } K_{5}} & {\text { b) } K_{6}} & {\text { c) } K_{3,3}} & {\text { d) } K_{3,4}}\end{array}$
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