Title
On the Resiliency of Randomized Routing Against Multiple Edge Failures.
Abstract
We study the Static-Routing-Resiliency problem, motivated by routing on the Internet: Given a graph G = (V,E), a unique destination vertex d, and an integer constant c u003e 0, does there exist a static and destination-based routing scheme such that the correct delivery of packets from any source s to the destination d is guaranteed so long as (1) no more than c edges fail and (2) there exists a physical path from s to d? We embark upon a study of this problem by relating the edge-connectivity of a graph, i.e., the minimum number of edges whose deletion partitions G, to its resiliency. Following the success of randomized routing algorithms in dealing with a variety of problems (e.g., Valiant load balancing in the network design problem), we embark upon a study of randomized routing algorithms for the Static-Routing-Resiliency problem. For any k-connected graph, we show a surprisingly simple randomized algorithm that has expected number of hops O(|V|k) if at most k-1 edges fail, which reduces to O(|V|) if only a fraction t of the links fail (where t u003c 1 is a constant). Furthermore, our algorithm is deterministic if the routing does not encounter any failed link.
Year
Venue
Field
2016
ICALP
Discrete mathematics,Link-state routing protocol,Combinatorics,Multipath routing,Equal-cost multi-path routing,Dynamic Source Routing,Path vector protocol,Computer science,Static routing,Destination-Sequenced Distance Vector routing,Routing Information Protocol
DocType
Citations 
PageRank 
Conference
5
0.41
References 
Authors
0
7
Name
Order
Citations
PageRank
Marco Chiesa11018.20
Andrei Gurtov21326109.52
Aleksander Mądry396145.38
Slobodan Mitrović4307.68
Ilya Nikolaevskiy5384.38
Michael Schapira6132.73
Scott Shenker7298922677.04