Journal of the ACM (JACM)
Universal-stability results and performance bounds for greedy contention-resolution protocols
Journal of the ACM (JACM)
Universal stability of undirected graphs in the adversarial queueing model
Proceedings of the fourteenth annual ACM symposium on Parallel algorithms and architectures
A Characterization of Universal Stability in the Adversarial Queuing Model
SIAM Journal on Computing
Optimal algorithms for detecting network stability
WALCOM'08 Proceedings of the 2nd international conference on Algorithms and computation
The robustness of stability under link and node failures
Theoretical Computer Science
DISC'05 Proceedings of the 19th international conference on Distributed Computing
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We address the problem of deciding whether a given network is stable in the Adversarial Queueing Model when considering farthest-from-source (FFS) as the queueing policy to schedule the packets through its links. We show a characterisation of the networks which are stable under FFS in terms of a family of forbidden subgraphs. We show that the set of networks stable under FFS coincide with the set of universally stable networks. Since universal stability of networks can be checked in polynomial time, we obtain that stability under FFS can also be decided in polynomial time.