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3 cards from this section. Quick, good the night before a test.
Define an Euler circuit.
Think about what it means for a path to return to its start.
What is the required degree for all vertices in a graph to have an Euler circuit?
Consider the connectivity of edges at each vertex.
What condition must a graph satisfy to have an Euler circuit?
Consider the connections at each vertex.
True or False: Fleury's Algorithm can be used on graphs with disconnected vertices.
Recall the definition of connected graphs.
Consider a graph with 5 vertices where vertex degrees are as follows: A-2, B-3, C-2, D-1, E-1. Analyze its properties regarding Euler paths and circuits.
Count the degree of vertices to see which are odd.
Construct a unique graph that allows for multiple Euler circuits. Describe your reasoning and show your construction.
Think about how many edges connect each vertex.
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