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1) Define the degree of a vertex of an undirected graph as the number of edges incident on that vertex. Prove that an undirected graph

1) Define the degree of a vertex of an undirected graph as the number of edges incident on that vertex. Prove that an undirected graph must have an even number of vertices of odd degree.

2) Fill out the table below to show how to traverse this graph using BFS. Your start node is A. When you have a choice of the next node to process, choose the one earliest in the alphabet. In terms of the queue, the first element should be in the Node @ Head column, the order of the other nodes on the queue doesnt matter.

image text in transcribed

. Node

(init)

. Node

Nr. edges from start

Prev Node

Queue after processing node

Node @ Head

Nr edges from start

Prev node

Node

Nr edges from start

Prev node

Node

Nr edges from start

Prev node

Node

Nr edges from start

Prev Node

Node

Nr edges from start

Prev Node

(init)

A

0

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