Post 2: Reply to a Classmate
Review a classmate’s post and consider their real-world context. Address all of the following items. For all references used, please cite them in APA format. No explanations may be taken directly word for word from another source.
- In your own words, explain to your classmate what is required for a trail or circuit to be a Euler trail or circuit.
- Does a Euler trail exist for their graph? Explain specifically using the label and degree of each vertex.
- Does a Euler circuit exist for their graph? Explain specifically using the label and degree of each vertex.
Post 3: Reply to Another Classmate
Review a different classmate’s post and consider their real-world context. Address all of the following items. For all references used, please cite them in APA format. No explanations may be taken directly word for word from another source.
- In your own words, explain to your classmate what is required for a walk to be a Hamiltonian path or cycle.
- Identify one sequence of vertices that makes either a Hamiltonian path or a Hamiltonian cycle.
- Based on the context of your classmate’s situation modeled by the graph, think about whether it would be most practical to seek a Euler trail or circuit versus a Hamiltonian path or cycle. Which one do you think would be more useful in your classmate’s situation and why?
