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Theory Seminar: Mik Zlatin "New and Improved Algorithms for Steiner Tree Augmentation Problems"

Event Type
Seminar/Symposium
Sponsor
The Department of Computer Science, University of Illinois
Location
Siebel Center 3401
Date
Sep 19, 2022   10:00 am  
Speaker
Mik Zlatin PhD student at CMU
Contact
Abigail Barrett
E-Mail
abigailb@illinois.edu
Phone
217-244-0337
Views
52
Originating Calendar
Computer Science Speakers Calendar

Abstract: In this talk, I will discuss the Steiner Tree Augmentation Problem (STAP), in which we seek to cheaply boost the connectivity of a given Steiner tree T into a 2-edge-connected Steiner subgraph. Edge-weighted STAP generalizes the classic Tree Augmentation Problem, and can be approximated to within a factor of 2 using Jain’s iterative rounding algorithm. We give the first polynomial time algorithm for STAP with approximation ratio better than 2. In particular we achieve a ratio of 1.5 + ε using the Local Greedy approach of Traub and Zenklusen, and generalize their main decomposition theorem from links of size two to hyper-links. In the node-weighted setting, we give a log2(|T|)-approximation using a greedy algorithm leveraging the spider decomposition of optimal solutions.

This is joint work with R. Ravi and Weizhong Zhang.

Personal website: https://mzlatin.github.io/

Mik will be around till next Thursday so feel free to say hello and contact Rhea or Chandra Chekuri if you wish to meet with him to chat.

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