Resilient and low stretch routing through embedding into tree metrics
WADS'11 Proceedings of the 12th international conference on Algorithms and data structures
Oblivious low-congestion multicast routing in wireless networks
Proceedings of the thirteenth ACM international symposium on Mobile Ad Hoc Networking and Computing
| Hi-index | 0.00 |
An unweighted graph has density \rho and growth rate k if the number of nodes in every ball with radius r is bounded by \rho r^{k}. The communication graphs of wireless networks and peer-to-peer networks often have constant bounded density and small growth rate. In this paper, we study the trade-off between two quality measures for routing in growth-restricted graphs. The two measures we consider are the stretch factor, which measures the lengths of the routing paths, and the load-balancing ratio, which measures the evenness of the traffic distribution. We show that if the routing algorithm is required to use paths with stretch factor c, then its load-balancing ratio is bounded by O(\rho^{1/k}(n/c)^{1 - 1/k}), and the bound is tight in the worst case. We show the application and extension of the trade-off to the wireless network routing and VLSI layout design. We also present a load-balanced routing algorithm with the stretch factor constraint in an online setting, in which the routing requests come one by one.