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The Grid Graph Gm,n Refers to the Graph Obtained by Taking

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the grid graph Gm,n refers to the graph obtained by taking an m × n rectangular grid of streets (m ≤ n) with m north/south blocks and n east/west blocks. For example:  the grid graph G<sub>m,n</sub> refers to the graph obtained by taking an m × n rectangular grid of streets (m ≤ n) with m north/south blocks and n east/west blocks. For example:   -For which positive integers m and n does  G _ { m , n }  have an Euler path but no Euler circuit?
-For which positive integers m and n does Gm,nG _ { m , n } have an Euler path but no Euler circuit?

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