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Bibliographic Details
Main Authors: Stevanović, Dragan, Ghebleh, Mohammad, Caporossi, Gilles, Vijayakumar, Ambat, Stevanović, Sanja
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.10971
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Table of Contents:
  • The triangle-degree of a vertex v of a simple graph G is the number of triangles in G that contain v. A simple graph is triangle-distinct if all its vertices have distinct triangle-degrees. Berikkyzy et al. [Discrete Math. 347 (2024) 113695] recently asked whether there exists a regular graph that is triangle-distinct. Here we showcase the examples of regular, triangle-distinct graphs with orders between 21 and 27, and report on the methodology used to find them.