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Airida [17]
3 years ago
6

If any of the graphs below have a Hamiltonian circuit, list the vertices of the complete circuit. There may be many possibilitie

s. For full credit, just list one for each graph, if the circuit exists

Mathematics
1 answer:
german3 years ago
6 0

9514 1404 393

Answer:

  1. ABHGEFDCA
  2. does not exist
  3. ECBADFE

Step-by-step explanation:

A Hamiltonian circuit visits each node once and returns to its start. There is no simple way to determine if such a circuit exists.

__

For graph 2, if there were a circuit, paths ACB, ADB, and AEB would all have to be on it. Inclusion of all of those requires visiting nodes A and B more than once, so the circuit cannot exist.

__

For graph 3, the circuit must include paths BAD and DFE. That only leaves node C, which can be reached from both nodes B and E, so path ECB completes the circuit.

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~Hope I helped!~

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