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In: Advanced Math

Consider the m by n grid graph: n vertices in each of m rows, and m...

Consider the m by n grid graph: n vertices in each of m rows, and m vertices in each of n columns arranged as a grid, and edges between neighboring vertices on rows and columns (excluding the wrap-around edges in the toric mesh). There are m n vertices in total.

a)What is the diameter of this graph?

b) From the top left vertex to the bottom right vertex, how many shortest paths are there? Please explain.

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