An algebraic approach to network coding
IEEE/ACM Transactions on Networking (TON)
Minimum-cost multicast over coded packet networks
IEEE/ACM Transactions on Networking (TON) - Special issue on networking and information theory
XORs in the air: practical wireless network coding
Proceedings of the 2006 conference on Applications, technologies, architectures, and protocols for computer communications
Resource allocation and cross-layer control in wireless networks
Foundations and Trends® in Networking
Insufficiency of linear coding in network information flow
IEEE Transactions on Information Theory
On Joint MAC and Network Coding in Wireless Ad Hoc Networks
IEEE Transactions on Information Theory
Adaptive network coding for scheduling real-time traffic with hard deadlines
Proceedings of the thirteenth ACM international symposium on Mobile Ad Hoc Networking and Computing
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We consider a wireless multi-hop network and design an algorithm for jointly optimal scheduling of packet transmissions and network coding. We consider network coding across different users, however with the restriction that packets have to be decoded after one hop. We compute the stability region of this scheme and propose an online algorithm that stabilizes every arrival rate vector within the stability region. The online algorithm requires computation of stable sets in an appropriately defined conflict graph. We show by means of simulations that this inherently hard problem is tractable for some instances and that network coding extends the stability region over routing and leads, on average, to a smaller backlog.