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Editors contains: "Georgiou, Konstantinos"

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  1. Bahoo, Yeganeh; Georgiou, Konstantinos (Ed.)
  2. Bahoo, Yeganeh; Georgiou, Konstantinos (Ed.)
    In this work we consider the Steiner tree problem under Bilu-Linial stability. We give strong geometric struc- tural properties that need to be satisfied by stable in- stances. We then make use of, and strengthen, these geometric properties to show that 1.59-stable instances of Euclidean Steiner trees are polynomial-time solvable by showing it reduces to the minimum spanning tree problem. We also provide a connection between certain approximation algorithms and Bilu-Linial stability for Steiner trees. 
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  3. Bahoo, Yeganeh; Georgiou, Konstantinos (Ed.)
    We investigate the maximum subbarcode matching problem which arises from the study of persistent homology and introduce the subbarcode distance on barcodes. A barcode is a set of intervals which correspond to topological features in data and is the output of a persistent homology computation. A barcode A has a subbarcode matching to B if each interval in A matches to an interval in B which contains it. We present an algorithm which takes two barcodes, A and B, and returns a maximum subbarcode matching. 
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