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Bibliographic Details
Main Author: Mitchell, Jeremy
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2411.19197
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Table of Contents:
  • We investigate 1-factorisations in which the 2-regular graphs that occur as the union of a pair of 1-factors appear an equal number of times across the unions of all pairs of 1-factors in the 1-factorisation. We call such 1-factorisations balanced 1-factorisations (B1Fs) and we present some results on B1Fs of 3- and 4-regular circulant graphs.