Network-coded broadcast: from canonical networks to random topologies. Loyola, L., Souza, T. D., Widmer, J., & Fragouli, C. Network Coding Workshop: Theory and Applications, 2008.
abstract   bibtex   
We consider the problem of finding the minimum number of transmissions in an ad-hoc network for all-to-all broadcasting using network coding. This work generalizes previous results for canonical topologies such as the circle and the wrap around grid to the finite-sized line, and non-wrap-around grid. The latter topologies better reflect network coding in random topologies, since the dissemination of information is "directional", in a sense that information usually arrives via the neighbors on the path to its originator instead of from all possible directions. We find that while the line topology requires a higher number of transmissions compared to the circle, this is interestingly not the case for the grid. We further present simulation results on a heuristic that estimates the required minimum number of transmissions in random wireless topologies and compare it to the optimum solution, as well as previously proposed heuristics.
@article{loyola_network-coded_2008,
 abstract = {We consider the problem of finding the minimum number of transmissions in an ad-hoc network for all-to-all broadcasting using network coding. This work generalizes previous results for canonical topologies such as the circle and the wrap around grid to the finite-sized line, and non-wrap-around grid. The latter topologies better reflect network coding in random topologies, since the dissemination of information is "directional", in a sense that information usually arrives via the neighbors on the path to its originator instead of from all possible directions. We find that while the line topology requires a higher number of transmissions compared to the circle, this is interestingly not the case for the grid. We further present simulation results on a heuristic that estimates the required minimum number of transmissions in random wireless topologies and compare it to the optimum solution, as well as previously proposed heuristics.},
 type={4},
 author = {Loyola, L. and Souza, T. De and Widmer, J. and Fragouli, C.},
 journal = {Network Coding Workshop: Theory and Applications},
 tags = {network_coding,wireless},
 title = {Network-coded broadcast: from canonical networks to random topologies},
 year = {2008}
}

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