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Graph Representation Worksheet 4 1. What are the storage requirements assuming an adjacency matrix is used. As- sume each element of the adjacency matrix requires four bytes 2. Repeat for an adjacency list representation. Assume that an int requires 4 bytes and that a pointer also requires 4 bytes 3. Now, consider an undirected graph with 100 vertices and 1000 edges. What are the storage requirements for the adjacent matrix and adjacency list data structures?

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Answer #1

1. An adjacency matrix of 5 nodes will have 5*5=25 elements.

Each element requires 4 bytes.

Therefore, total storage required = 25*4 = 100 bytes.

2. Adjacency List

1->2->4

2->1->4->5->3

3->2->5

4->1->2->5

5->2->4->3

Total int stored = 19

Total pointers used = 14

Total storage = (19+14) * 4 = 33*4 = 132 bytes.

3. 100 vertices and 1000 edges.

Storage in Adjacency Matrix = 10000*4 = 40000 bytes

Storage in Adjacency List = (2000 +1000) *4 = 12000 bytes

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Answer #2

3. 

storage in Adjacency List=(2000+(2000+100))*4=4100*4=16400 bytes

answered by: Saba Heydari
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