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Count the vertices, edges and loops of a graph

DIFFICULTYintrostandardchallengeexam
QUESTION TYPEMix of allChange
vertices edges; connected sparsevertices edges; connected densevertices edges; split sparsevertices edges; split denseNOWMix of allRecommended
Question 1 of 8

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Consider this graph with named vertices

Graph; every repeated endpoint pair in the full list denotes separate parallel edges. Vertices in listed order: [Moe | Yarram | Sale | Traralgon]. Full edge list: Yarram–Moe; Traralgon–Yarram; Moe–Sale; Traralgon–Sale; Moe loop.MoeYarramSaleTraralgon
(a)1 mark

How many vertices does the graph have?

(b)1 mark

How many edges does the graph have?