Proves the finite abelian two-generator conjecture for directed Cayley digraphs by establishing a cut-reflection theorem for cyclic cases and a quotient-fiber construction, plus the three-factor case for directed cycle products.
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Two Arc-Disjoint Hamiltonian Paths in Finite Two-Generated Abelian Cayley Digraphs
Proves the finite abelian two-generator conjecture for directed Cayley digraphs by establishing a cut-reflection theorem for cyclic cases and a quotient-fiber construction, plus the three-factor case for directed cycle products.