Basic Concepts (Std 2-X)

v1 Networks, STD2 N2 2021 HSC 2 MC

Consider the network diagram.

What is the sum of the degrees of all the vertices in this network?

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`D`

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`text(Working from)\ A\ text(to)\ E:`

COMMENT: This simple question caused problems for many with mean mark just 58%.

`text{Sum of degrees}`	`= 4 + 3 + 4 + 2 + 3`
	`= 16`

`=> D`

The sum of the degrees of all the vertices in the graph above is

A. `6`

B. `7`

C. `9`

D. `14`

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`D`

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`text(Total Degrees)`

`=1 + 3 + 2 + 2 + 2 + 2`

`=12`

`rArr D`

The number of edges in the graph above is

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`C`

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`text{Edges are represented by lines between vertices.}`

`=> C`