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CECS 228 - Group Exercise Solutions for Section 8.1 and 8.2, Assignments of Discrete Structures and Graph Theory

California State University (CSU) - Long BeachDiscrete Structures and Graph Theory

Solutions to various problems from cecs 228 group exercise in sections 8.1 and 8.2. The problems involve drawing call graphs, finding simple graphs, and identifying subgraphs.

Typology: Assignments

Pre 2010

Uploaded on 08/18/2009

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CECS 228 – Group Exercise on 9/30/04
Due Thursday, 10/7/04
Group members:____________________________________________________________________________
1. Problem 20 in Section 8.1
Draw the call graph for the telephone numbers 555-0011, 555-1221, 555-1333, 555-8888, 555-2222, 555-0091,
and 555-1200 if there were three calls from 555-0011 to 555-8888 and two calls from 555-8888 to 555-0011,
two calls from 555-2222 to 555-0091, two calls from 555-1221 to each of the other numbers, and one call from
555-1333 to each of 555-0011, 555-1221, and 555-1200.
2. Problem 10 in Section 8.1
For each undirected graph in Exercises 3-9 that is not simple, find a set of edges to remove to make it simple.
…/Turn over to continue
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Download CECS 228 - Group Exercise Solutions for Section 8.1 and 8.2 and more Assignments Discrete Structures and Graph Theory in PDF only on Docsity!

CECS 228 – Group Exercise on 9/30/

Due Thursday, 10/7/ Group members:____________________________________________________________________________

1. Problem 20 in Section 8. Draw the call graph for the telephone numbers 555-0011, 555-1221, 555-1333, 555-8888, 555-2222, 555-0091, and 555-1200 if there were three calls from 555-0011 to 555-8888 and two calls from 555-8888 to 555-0011, two calls from 555-2222 to 555-0091, two calls from 555-1221 to each of the other numbers, and one call from 555-1333 to each of 555-0011, 555-1221, and 555-1200. 2. Problem 10 in Section 8. For each undirected graph in Exercises 3-9 that is not simple, find a set of edges to remove to make it simple. …/Turn over to continue

3. Problem 28 in Section 8. Does there exist a simple graph with six vertices of these degrees? If so, draw such a graph. If no, explain why. a) 0, 1, 2, 3, 4, 5 b) 1, 2, 3, 4, 5, 6 c) 2, 2, 2, 2, 2, 2 d) 3, 2, 3, 2, 3, 2 e) 3, 2, 2, 2, 2, 3 f) 1, 1, 1, 1, 1, 1 g) 3, 3, 3, 3, 3, 5 h) 1, 2, 3, 4, 5, 5 4. Problem 33 in Section 8. Draw all subgraphs of the graph G = (V, E), where V = { a, b, c, d }, and E = { {a, b}, {a, c}, {a, d} }