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Bibliographic Details
Main Authors: Abiad, Aida, Dawar, Anuj, Zapata-Fonseca, Octavio B.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.03601
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Table of Contents:
  • We consider isomorphism of controllable graphs and cospectrality of distance-regularized graphs (which are known to be distance-regular or distance-biregular) in relation to logical definability. While most characterizations of these equivalence relations for such graph classes are of algebraic and spectral flavor, here we inject tools from first-order logic, extending and unifying several existing results.