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2 cards from this section. Quick, good the night before a test.
What does deleting a vertex from a graph do?
Think of how a tree branch would behave if you cut it.
If a graph has a degree of 3 for vertex v1, how many edges are removed if v1 is deleted?
The degree indicates the number of connections.
What happens to the total number of edges when a vertex is deleted?
Remember the rule of vertex deletion.
True or False: The handshaking theorem states that the sum of degrees divided by two equals the cardinality of edges.
Recall the fundamental principles of edge connections.
Suppose a graph has a total of 10 vertices. If removing each vertex results in 9, 8, 7, 6, 5, 4 edges respectively, predict the total edge count.
Count how many edges were lost and anticipate the starting number.
Given a graph of 5 vertices where three vertices have degrees of 2, 2, and 1 when others are removed, calculate its full edge set.
Count up and think logically, relate back to handshaking principles.
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