An edge e can be (x) always full, (y) sometimes full, (2) never full; it can be (x) always crossing, (y) sometimes crossing, (2') never crossing. So there are nine possible combinations: (xx) always fll and always crossing, (xy') always full and sometimes crossing, and so on. Or are there? Maybe some possibilities are impossible. Let's draw a table:

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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always full and always crossing.
always full and sometimes crossing.
always full and never crossing.
sometimes full and always crossing.
sometimes full and sometimes crossing.
sometimes full and never crossing.
never full and always crossing.
never full and sometimes crossing.
never full and never crossing.
Transcribed Image Text:always full and always crossing. always full and sometimes crossing. always full and never crossing. sometimes full and always crossing. sometimes full and sometimes crossing. sometimes full and never crossing. never full and always crossing. never full and sometimes crossing. never full and never crossing.
4. An edge e can be (X) always full, (y) sometimes full, (2) never full; it can be (x') always crossing, (y') sometimes
crossing. (z') never crossing. So there are nine possible combinations: (xx) always full and always crossing. (xy')
always full and sometimes crossing, and so on. Or are there? Maybe some possibilities are impossible. Let's draw a
table:
always full
sometimes full
never full
The edge e is:
ot
Possible
Possible
always crossing
f :2
or
or
e:1
impossible?
impossible?
7°
f:1
Possible
Possible
sometimes crossing
or
or
e:1
impossible?
impossible?
Possible
Possible
Possible
never crossing
or
or
or
impossible?
impossible?
impossible?
Take a piece of paper, complete the 3 x 3 table below by either finding an example illustrating that the
combination is possible or by concluding that it is impossible. To do so, you will need the Max Flow Min Cut
Theorem plus a bit of your own thinking. Once you have completed the table, select which of the following
statements are true: There is a flow network and an edge e that is.
Transcribed Image Text:4. An edge e can be (X) always full, (y) sometimes full, (2) never full; it can be (x') always crossing, (y') sometimes crossing. (z') never crossing. So there are nine possible combinations: (xx) always full and always crossing. (xy') always full and sometimes crossing, and so on. Or are there? Maybe some possibilities are impossible. Let's draw a table: always full sometimes full never full The edge e is: ot Possible Possible always crossing f :2 or or e:1 impossible? impossible? 7° f:1 Possible Possible sometimes crossing or or e:1 impossible? impossible? Possible Possible Possible never crossing or or or impossible? impossible? impossible? Take a piece of paper, complete the 3 x 3 table below by either finding an example illustrating that the combination is possible or by concluding that it is impossible. To do so, you will need the Max Flow Min Cut Theorem plus a bit of your own thinking. Once you have completed the table, select which of the following statements are true: There is a flow network and an edge e that is.
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