4. Hamilton claimed that there are only TWO possible circuits that begin with B C PN M. Find them. Why must the circuit contain the sequence R S T or the sequence TS R? Why must the circuit contain the sequence R Q Z or the sequence Z Q R? The sequences M D F and KLT must be in the circuit, either reading forward or backward. Why? Explain why there are only 2 Hamiltonian circuits that start with B C PNM.

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4. Hamilton claimed that there are only TWO possible circuits that begin with B C P N M. Find
them.
Why must the circuit contain the sequence R S T or the sequence T S R?
Why must the circuit contain the sequence R Q Z or the sequence Z Q R?
The sequences M D F and K L T must be in the circuit, either reading forward or backward.
Why?
Explain why there are only 2 Hamiltonian circuits that start with B C PN M.
F.
Transcribed Image Text:4. Hamilton claimed that there are only TWO possible circuits that begin with B C P N M. Find them. Why must the circuit contain the sequence R S T or the sequence T S R? Why must the circuit contain the sequence R Q Z or the sequence Z Q R? The sequences M D F and K L T must be in the circuit, either reading forward or backward. Why? Explain why there are only 2 Hamiltonian circuits that start with B C PN M. F.
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