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Does the graph above have an Hamiltonian circuit, Hamiltonian path, or neither? Paths and Circuits Help
a.. Only a Hamiltonian Path
b. It has both a Hamiltonian Path and Hamiltonian Circuit
c. It does not have either an Hamiltonian Path or an Hamiltonian Circuit​

Does The Graph Above Have An Hamiltonian Circuit Hamiltonian Path Or Neither Paths And Circuits Help A Only A Hamiltonian Pathb It Has Both A Hamiltonian Path A class=

Sagot :

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Answer:

  (b)  both

Step-by-step explanation:

A Hamiltonian Path visits every node once. A Hamiltonian Circuit is a loop that visits every node once.

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This graph has both a Hamiltonian Path and a Hamiltonian Circuit. We can identify them by the edge labels:

  Path: 1, 2, 5, 8, 2

  Circuit: adding edge 7 to the path makes it a circuit.

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