Explain why dfs trees cannot contain cross edges it may

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a) Explain how a DFS can be used to look for cycles in a graph.

b) Explain why DFS trees cannot contain cross edges. (It may help to think about what it would mean if they did contain cross edges).

c) Prove that any connected graph G with n vertices and n-1 edges must be a tree.

(Hint: Use a proof by contradiction. Show that the assumption that G is not a tree, ie that G contains a cycle, will lead to the contradiction that G is not connected).

Reference no: EM13586884

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