66. m by n grid graphs. An m by n grid graph represents a rectangular street grid that is m. blocks by n blocks, as indicated in
a. If m and n are both odd, then the m by n grid graph has a Hamilton circuit. Describe the circuit by drawing it on a generic graph.
b. If either m or n is even and the other one is odd, then the m by n grid graph has Hamilton circuit. Describe the circuit by drawing it on a generic graph.
c. . If m and n are both even, then the m by n grid graph does not have a Hamilton circuit. Explain why a Hamilton circuit is impossible.
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Excursions in Modern Mathematics (9th Edition)
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