Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Thursday, April 07, 2022, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Michal Dory

Fault-Tolerant Labeling and Compact Routing Schemes

Assume that you have a huge graph, where edges and vertices may fail, and you want to answer questions about this graph quickly, without inspecting the whole graph. A fault-tolerant labeling scheme allows us to do just that. It is a distributed data structure, in which each vertex and edge is assigned a short label, such that given the labels of a pair of vertices s,t, and a set of failures F, you can answer questions about s and t in G\F. For example, determine if s and t are connected in G\F, just by looking at their labels. I will discuss a recent work where we show the first fault-tolerant connectivity labeling schemes for general graphs. I will also show applications for fault-tolerant routing. Here the goal is to provide each vertex a small routing table, such that given these tables we can efficiently route messages in the network, even in the presence of failures. Based on a joint work with Merav Parter.

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