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Bibliographic Details
Main Authors: Metsidik, Metrose, Yan, Qi
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2401.06285
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Table of Contents:
  • An Eulerian-minor of an Eulerian graph is obtained from an Eulerian subgraph of the Eulerian graph by contraction. The Eulerian-minor operation preserves Eulerian properties of graphs and moreover Eulerian graphs are well-quasi-ordered under Eulerian-minor relation. In this paper, we characterize Eulerian, planar and outer-planar Eulerian graphs by means of excluded Eulerian-minors, and provide a concise recursive characterization to 4-regular planar graphs.