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Two Arc-Disjoint Hamiltonian Paths in Finite Two-Generated Abelian Cayley Digraphs by Wilfredo Renato Lavado Enco is a document available to read on EtoBox.

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The document presents a proof of the finite abelian two-generator conjecture, demonstrating that every directed Cayley digraph on a finite abelian group with two distinct nonzero generators contains two arc-disjoint Hamiltonian paths. The proof employs a cut-reflection theorem and sector-filling inequalities, resolving previous conjectures related to Hamiltonian paths in Cayley graphs. Additionally, it addresses the remaining cases for Cartesian products of directed cycles, confirming the existence of two a

Author

Wilfredo Renato Lavado Enco

Language

EN