For the following pairs of networks, determine if Network 2 is a subnetwork of Network 1:
Network 1
Network 2
Network 1
Network 2
Network 1
Network 2
Network 1
Network 2
Determine if the following networks are connected:
Consider the following network:
State an edge that can be drawn to make this network connected.
After adding this edge, is there now a path from P to Q?
Consider the following network:
State an edge that can be drawn to make this network connected.
After adding this edge, is there now a path from T to P?
Calculate the weight of the following paths in this network:
Path Y-E-D
Path A-B-Z-X
Path X-C-A-B-Z
For each of the following networks:
State the weight of the edge connecting Q to S.
Calculate the weight of the entire network.
Find the weight of the following subnetworks, highlighted in green:
Consider the following network:
Find the weight of the subnetwork that has only the vertices Q, T, W, and any edges between them.
Find the weight of the subnetwork formed by deleting vertices W, U, V, and S, along with all edges connected to these vertices.
Calculate the weight of the following paths in this network:
Path from Y to X
Path from Z to C
Path from B to X
For each of the following, construct a network representing the given information:
The following table lists the amount of time it takes to queue up for three rides at an amusement park, and the amount of time it takes to travel between them:
| Carousel | Pirate Ship | Haunted House | |
|---|---|---|---|
| Carousel | 3 | 5 | 4 |
| Pirate Ship | 5 | 13 | 6 |
| Haunted House | 4 | 6 | 11 |
The following table lists the number of termites observed to be moving within and between three sites in 1 hour:
| Destination | ||||
|---|---|---|---|---|
| \text{Nest} | \text{Plains} | \text{Forest} | ||
| Origin | \text{Nest} | 3570 | 325 | 1240 |
| \text{Plains} | 65 | 475 | 965 | |
| \text{Forest} | 410 | 535 | 230 |
The following table lists the number of likes that four friends give to each other's social media posts over a week:
| Receiver | |||||
|---|---|---|---|---|---|
| \text{Rick} | \text{Fan} | \text{Zoya} | \text{Aarav} | ||
| Sender | \text{Rick} | 32 | 12 | 13 | |
| \text{Fan} | 6 | 9 | 4 | ||
| \text{Zoya} | 41 | 53 | 23 | ||
| \text{Aarav} | 11 | 39 | 2 |
The following table lists the fees (as a percentage) charged by a bank to convert between five types of currency:
| USD | AUS | NZD | EUR | YEN | |
|---|---|---|---|---|---|
| USD | 2 | 5 | 4 | 4 | |
| AUS | 2 | 3 | 5 | 4 | |
| NZD | 5 | 3 | 7 | 6 | |
| EUR | 4 | 5 | 7 | 3 | |
| YEN | 4 | 4 | 6 | 3 |