What is a Graph? (VCE SSCE General Mathematics): Quizzes

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What is a Graph?
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What are the two main components that make up a graph?

Vertices and edges

What is a loop in a graph?

An edge connecting a vertex to itself

How many degrees does a loop contribute to a vertex?

Two degrees

What are multiple edges in a graph?

Two or more edges connecting same vertices

What does deg(A)\text{deg}(A) represent?

The degree of vertex AA

If vertex XX has one loop and one edge to vertex YY, what is deg(X)\text{deg}(X)?

33

What does the sum of degrees equal in any graph?

Twice the number of edges

A vertex with degree 77 is classified as:

Odd

If sum of all degrees is 1010, how many edges does the graph have?

55 edges

When counting the total number of edges in a graph, how many edges does a loop count as?

One edge

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