2017
DOI: 10.1109/lsp.2017.2670645
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Distributed Network Formation Strategy for Network Coding Based Wireless Networks

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Cited by 9 publications
(6 citation statements)
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References 26 publications
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“…Even though network coding can reduce complexity in general, it is known that finding an optimal solution in network coding with multiple multicasts is an NP-hard problem [20]. Hence, suboptimal but practical solutions are often studied [21], [22]. A well-known practical solution to network formation is proposed based on linear optimization in [21].…”
Section: Related Workmentioning
confidence: 99%
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“…Even though network coding can reduce complexity in general, it is known that finding an optimal solution in network coding with multiple multicasts is an NP-hard problem [20]. Hence, suboptimal but practical solutions are often studied [21], [22]. A well-known practical solution to network formation is proposed based on linear optimization in [21].…”
Section: Related Workmentioning
confidence: 99%
“…Hence, Perron-Frobenius theorem [46] guarantees that there is a unique largest eigenvalue and the largest eigenvalue is 1 since P is a stochastic matrix. Therefore, the unique limiting distribution σ can be found as a row eigenvector of P associated with eigenvalue 1, i.e., σP = σ, and the initial state becomes the state with the largest limiting distribution as shown in (22). The initialization phase of the proposed system can be expedited by choosing the initial state of each node that leads to the initial network.…”
Section: Optimal Action Includes Change Of Transmission Rangementioning
confidence: 99%
“…The network formation game for a graph can be decomposed by network coding into independent games for edge-disjoint subgraphs. 13 There can be maximum`N V 2˘e dge-disjoint subgraphs in G as each link with two nodes becomes a subgraph of G. Hence, it is always possible to decompose G into edge-disjoint subgraphs.…”
Section: Network Coding Based Game Decompositionmentioning
confidence: 99%
“…We define edge-disjoint subgraphs of G as a set of subgraphs whose links are disjointed and the union of them is G 13 . Specifically, for N edge-disjoint subgraphs L 1 , .…”
Section: Network Coding Based Game Decompositionmentioning
confidence: 99%
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