Journal article
Uniform multicommodity flows in the hypercube with random edge‐capacities
- Abstract:
- We give two results for multicommodity flows in thed-dimensional hypercubeQdwithindependent random edge-capacities distributed like a random variableCwhereP[C>0]>1/2.Firstly, with high probability asd→∞, the network can support simultaneous multicommodityflows of volume close toE[C]between all antipodal vertex pairs. Secondly, with high probability,the network can support simultaneous multicommodity flows of volume close to 21−dE[C]betweenall vertex pairs. Both results are best possible.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 444.0KB)
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- Publisher copy:
- 10.1002/rsa.20672
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Authors
Bibliographic Details
- Publisher:
- Wiley Publisher's website
- Journal:
- Random Structures and Algorithms Journal website
- Volume:
- 50
- Issue:
- 3
- Pages:
- 437–463
- Publication date:
- 2016-11-07
- Acceptance date:
- 2016-01-20
- DOI:
- ISSN:
-
1098-2418
- Source identifiers:
-
499852
Item Description
- Keywords:
- Pubs id:
-
pubs:499852
- UUID:
-
uuid:ba3605f3-cbea-42b6-a097-9426d521de31
- Local pid:
- pubs:499852
- Deposit date:
- 2016-07-09
Terms of use
- Copyright holder:
- Wiley Periodicals, Inc
- Copyright date:
- 2016
- Notes:
- Copyright © 2016 Wiley Periodicals, Inc. This is the accepted manuscript version of the article. The final version is available online from Wiley at: https://doi.org/10.1002/rsa.20672
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