Hamiltonicity of token graphs of fan graphs
Luis Manuel Rivera, Ana Laura Trujillo-Negrete
TL;DR
This paper proves that token graphs of fan graphs are Hamiltonian, offering a new proof for Johnson graphs' Hamiltonicity and extending prior results in graph theory.
Contribution
It introduces a novel proof technique for Hamiltonicity of token graphs of fan graphs, expanding understanding of graph Hamiltonian properties.
Findings
Token graphs of fan graphs are Hamiltonian.
Provides a new proof for Johnson graphs' Hamiltonicity.
Extends previous results on Hamiltonian properties of related graphs.
Abstract
In this note we show that the token graphs of fan graphs are Hamiltonian. This result provides another proof of the Hamiltonicity of Johnson graphs and also extends previous results obtained by Mirajkar and Priyanka Y. B.
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