Twins of rayless graphs
A. Bonato, H. Bruhn, R. Diestel, and P. Spr\"ussel
TL;DR
This paper proves that rayless graphs either have infinitely many twins or none, establishing a clear dichotomy in their twin structure.
Contribution
It introduces a novel result characterizing the twin structure of rayless graphs, a significant class in graph theory.
Findings
Rayless graphs have either infinitely many twins or none
Established a dichotomy in twin relationships for rayless graphs
Advances understanding of subgraph isomorphism in infinite graphs
Abstract
Two non-isomorphic graphs are twins if each is isomorphic to a subgraph of the other. We prove that a rayless graph has either infinitely many twins or none.
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Taxonomy
TopicsAdvanced Graph Theory Research · Graph theory and applications · Graph Labeling and Dimension Problems