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Bibliographic Details
Main Authors: Hernandez, Luis, Ku, Sean, Masamune, Jun, Romanelli, Genevieve, Wojciechowski, Radosław K.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2509.22967
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Table of Contents:
  • We give characterizations for the failure of form uniqueness on weakly spherically symmetric graphs. The first characterization is in terms of the graph structure, the second involves the capacity of a Cauchy boundary. We also discuss the stability of form uniqueness and give characterizations for graphs which, following the removal of a set, consist of a disjoint union of weakly spherically symmetric graphs.