Suppose you were allowed to add a single edge to the given network, connecting one of nodes c or d to any one node that it is not currently connected to. Could you do this in such a way that now behavior A, starting from S and spreading with a threshold of 2/5, would reach all nodes? Give a brief explanation for your answer

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Suppose you were allowed to add a single edge to the given network, connecting
one of nodes c or d to any one node that it is not currently connected to. Could
you do this in such a way that now behavior A, starting from S and spreading with
a threshold of 2/5, would reach all nodes? Give a brief explanation for your
answer

**Figure 2 Description:**

The diagram is a network graph consisting of 11 nodes labeled from 'c' to 'k'. The connections are as follows:

- Node 'c' is connected to nodes 'e', 'f', and 'd'.
- Node 'd' is connected to nodes 'f' and 'g'.
- Node 'e' is connected to nodes 'h', 'i', 'f', and 'c'.
- Node 'f' is connected to nodes 'i', 'j', 'e', 'g', 'd', and 'c'.
- Node 'g' is connected to nodes 'k', 'j', and 'f'.
- Node 'h' is connected to node 'e'.
- Node 'i' is connected to nodes 'f' and 'e'.
- Node 'j' is connected to nodes 'g' and 'f'.
- Node 'k' is connected to node 'g'.

**Explanation:**

The figure illustrates how a new behavior, labeled as 'A', originates at nodes 'c' and 'd' but fails to propagate throughout the entire network. The interconnectedness of the nodes suggests potential pathways for the behavior to spread, but there are barriers or limitations preventing this full propagation. The graph's structure and the connections between nodes can influence how behaviors or information disseminates within a networked system.
Transcribed Image Text:**Figure 2 Description:** The diagram is a network graph consisting of 11 nodes labeled from 'c' to 'k'. The connections are as follows: - Node 'c' is connected to nodes 'e', 'f', and 'd'. - Node 'd' is connected to nodes 'f' and 'g'. - Node 'e' is connected to nodes 'h', 'i', 'f', and 'c'. - Node 'f' is connected to nodes 'i', 'j', 'e', 'g', 'd', and 'c'. - Node 'g' is connected to nodes 'k', 'j', and 'f'. - Node 'h' is connected to node 'e'. - Node 'i' is connected to nodes 'f' and 'e'. - Node 'j' is connected to nodes 'g' and 'f'. - Node 'k' is connected to node 'g'. **Explanation:** The figure illustrates how a new behavior, labeled as 'A', originates at nodes 'c' and 'd' but fails to propagate throughout the entire network. The interconnectedness of the nodes suggests potential pathways for the behavior to spread, but there are barriers or limitations preventing this full propagation. The graph's structure and the connections between nodes can influence how behaviors or information disseminates within a networked system.
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