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In: Advanced Math

Question 1 a) Prove that if u and v are distinct vertices of a graph G,...

Question 1

a) Prove that if u and v are distinct vertices of a graph G, there exists a walk from u to v if and only if there exists a path (a walk with distinct vertices) from u to v.

b) Prove that a graph is bipartite if and only if it contains no cycles of odd length.

Please write legibly with step by step details. Many thanks!

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