• Exact planar emulators
  • Project Year: 2023
  • REU Student (s):   George Li | University of Maryland-College Park MD  
  • Student 1 Institution: University of Maryland-College Park
  • Project Mentor: Zihan Tan
  • Project Mentor Area: DIMACS
  • Project Abstract: We study vertex sparsification for distances in planar graphs: given a weighted planar graph G and a subset of k terminal vertices, the goal is to construct an emulator, which is a smaller (weighted) planar graph G' that contains the terminals and exactly preserves pairwise distances between the terminals. We construct exact planar emulators of size O(k^2) in the special where all terminals lie on exactly 2 faces.