Adrian Neumann

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In the online checkpointing problem, the task is to continuously maintain a set of k checkpoints that allow to rewind an ongoing computation faster than by a full restart. The only operation allowed is to replace an old checkpoint by the current state. Our aim are checkpoint placement strategies that minimize rewinding cost, i.e., such that at all times T(More)
It is well known that individuals can route messages on short paths through social networks, given only simple information about the target and using only local knowledge about the topology. Sociologists conjecture that people find routes greedily by passing the message to an acquaintance that has more in common with the target than themselves, e. g. if a(More)
Networks are amongst the central building blocks of many systems. Given a graph of a network, methods from graph theory enable a precise investigation of its properties. Software for the analysis of graphs is widely available and has been applied to study various types of networks. In some applications, graph acquisition is relatively simple. However, for(More)
We present a certifying algorithm that tests graphs for 3-edge-connectivity; the algorithm works in linear time. If the input graph is not 3-edge-connected, the algorithm returns a 2-edge-cut. If it is 3-edge-connected, it returns a construction sequence that constructs the input graph from the graph with two vertices and three parallel edges using only(More)
We consider a variant of the classical k-median problem, introduced by Anthony et al. [1]. In the Robust k-Median problem, we are given an n-vertex metric space (V, d) and m client sets {Si ⊆ V }mi=1. We want to open a set F ⊆ V of k facilities such that the worst case connection cost over all client sets is minimized; that is, minimize maxi ∑ v∈Si d(F, v).(More)
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