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A computer network consists of five nodes, labeled A, B, C, D, and E. Each node can communicate directly with its neighbors, as shown in

A computer network consists of five nodes, labeled A, B, C, D, and E. Each node can communicate directly with its neighbors, as shown in the diagram below:

A
/
B---C
| |
D---E

Assuming that each node can process one message at a time and that messages can be sent in both directions, what is the maximum number of messages that can be exchanged simultaneously in this network?

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