I believe that you are both right since you seem to observe this from two different perspectives. Also another detail needs to be clarified regarding the hub model. In that case you actually increase the number of possible locations.
For the point-to-point case it is right that you have 16 connections in total. Let's assume 10 passengers for each flight. Then it will be a total of 160 passengers travelling from LEFT nodes to RIGHT nodes. And let's assume the same for RIGHT to LEFT. A total number of passengers moved is 320 with 32 flights.
For the hub case we assume the samme number of passengers. Each node has reduced it's available options out from 4 to 1 why each connection will carry 4 times as many people as before. That's 40 people for each connection. However, to reach your destination you will need to transfer at the hub (unless the hub is your destination). Since everyone goes to the hub a total of 320 people travel with 8 flights to the hub. However, they need to go from the hub to the final destination, that's an additional 8 flights. In total the hub requires 16 flights to move 320 between LEFT and RIGHT nodes.
With the hub you can move the same people with half as many flights, but you will need 4 times the capacity it seems. But the added bonus is that you get twice as many possible locations to travel to. With the hub included as a final destination, then you have increased available destinations from 4 to 8. And with that perspective one could argue that you would need 4 times as many flights in the point-to-point model to service the same number of possible end destinations.
I am not sure about the correct math behind this. This is just simply how I see it - please correct me if I am wrong ЁЯШК
Thank you on the typo! Corrected.
On the stats, I believe you're double-counting. If left is L and right is R, the connection L1-->R1 is the same as R1-->L1
Another way to look at it: just count the arrows.
But maybe I'm wrong.
I believe that you are both right since you seem to observe this from two different perspectives. Also another detail needs to be clarified regarding the hub model. In that case you actually increase the number of possible locations.
For the point-to-point case it is right that you have 16 connections in total. Let's assume 10 passengers for each flight. Then it will be a total of 160 passengers travelling from LEFT nodes to RIGHT nodes. And let's assume the same for RIGHT to LEFT. A total number of passengers moved is 320 with 32 flights.
For the hub case we assume the samme number of passengers. Each node has reduced it's available options out from 4 to 1 why each connection will carry 4 times as many people as before. That's 40 people for each connection. However, to reach your destination you will need to transfer at the hub (unless the hub is your destination). Since everyone goes to the hub a total of 320 people travel with 8 flights to the hub. However, they need to go from the hub to the final destination, that's an additional 8 flights. In total the hub requires 16 flights to move 320 between LEFT and RIGHT nodes.
With the hub you can move the same people with half as many flights, but you will need 4 times the capacity it seems. But the added bonus is that you get twice as many possible locations to travel to. With the hub included as a final destination, then you have increased available destinations from 4 to 8. And with that perspective one could argue that you would need 4 times as many flights in the point-to-point model to service the same number of possible end destinations.
I am not sure about the correct math behind this. This is just simply how I see it - please correct me if I am wrong ЁЯШК