A simple necessary and sufficient condition for the double unicast problem
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Title |
A simple necessary and sufficient condition for the double unicast problem
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Creator |
SHENVI, S
DEY, BK |
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Subject |
network
multicast |
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Description |
We consider a directed acyclic network where there are two source-terminal pairs and the terminals need to receive the symbols generated at the respective sources. Each source independently generates an i.i.d. random process over the same alphabet. Each edge in the network is error-free, delay-free, and can carry one symbol from the alphabet per use. We give a simple necessary and sufficient condition for being able to simultaneously satisfy the unicast requirements of the two source-terminal pairs at rate-pair (1, 1) using vector network coding. The condition is also sufficient for doing this using only "XOR" network coding and is much simpler compared to the necessary and sufficient conditions known from previous work. Our condition also yields a simple characterization of the capacity region of a double-unicast network which does not support the rate-pair (1, 1).
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Publisher |
IEEE
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Date |
2011-10-28T00:30:40Z
2011-12-15T09:12:51Z 2011-10-28T00:30:40Z 2011-12-15T09:12:51Z 2010 |
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Type |
Proceedings Paper
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Identifier |
2010 IEEE INTERNATIONAL CONFERENCE ON COMMUNICATIONS - ICC 2010,
978-1-4244-6404-3 1550-3607 http://dspace.library.iitb.ac.in/xmlui/handle/10054/16460 http://hdl.handle.net/100/2936 |
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Source |
2010 IEEE International Conference on Communications,Cape Town, SOUTH AFRICA,MAY 23-27, 2010
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Language |
English
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