Writing
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 2: Reply to Classmate
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?
