
13. Give a linear-time algorithm that determines if a simple graph has any odd cycles. Hint: perform a breadth-first traversal and mark the visited nodes with one of two colors (either red or blue) Whenever a (parent) node that is removed from the queue reaches an unvisited node, mark that node and give it the opposite color of its parent. What happens when the child node is already visited/marked with the same color? with the opposite color?
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