Integer multicommodity flow in series-parallel

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Integer multicommodity flow in series-parallel
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Integer multicommodity flow in series-parallel - slide 1 of 22 Integer multicommodity flow in series-parallel - slide 2 of 22 Integer multicommodity flow in series-parallel - slide 3 of 22 Integer multicommodity flow in series-parallel - slide 4 of 22 Integer multicommodity flow in series-parallel - slide 5 of 22 Integer multicommodity flow in series-parallel - slide 6 of 22 Integer multicommodity flow in series-parallel - slide 7 of 22 Integer multicommodity flow in series-parallel - slide 8 of 22 Integer multicommodity flow in series-parallel - slide 9 of 22 Integer multicommodity flow in series-parallel - slide 10 of 22 Integer multicommodity flow in series-parallel - slide 11 of 22 Integer multicommodity flow in series-parallel - slide 12 of 22 Integer multicommodity flow in series-parallel - slide 13 of 22 Integer multicommodity flow in series-parallel - slide 14 of 22 Integer multicommodity flow in series-parallel - slide 15 of 22 Integer multicommodity flow in series-parallel - slide 16 of 22 Integer multicommodity flow in series-parallel - slide 17 of 22 Integer multicommodity flow in series-parallel - slide 18 of 22 Integer multicommodity flow in series-parallel - slide 19 of 22 Integer multicommodity flow in series-parallel - slide 20 of 22 Integer multicommodity flow in series-parallel - slide 21 of 22 Integer multicommodity flow in series-parallel - slide 22 of 22
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Integer multicommodity flow in series-parallel graphs Nikhil Kumar, IITD Joint work with Hannaneh Akrami (Sharif U), Naveen Garg (IITD) Multicommodity flow integral routing Find a path between end points of every demand s.t. paths

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01
Integer multicommodity flow in series-parallel graphs Nikhil Kumar, IITD
Joint work with Hannaneh Akrami (Sharif U), Naveen Garg (IITD)<br>
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Multicommodity flow [integral routing] Find a path between end points of every demand s.t. #paths through an edge does not exceed its capacity. 1/2 [fractional routing] 1 unit of flow is sent between end points of each demand.<br>
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Cut condition For demands to be (fractionally) routable the capacity of every cut should exceed demand across it.
The cut condition is necessary but not sufficient.
(total volume of edges required: 8, available: 6) (capacity, demand) (3,1) (3,3) (3,3) (2,2)<br>