2 papers
math.CO2025
Hamiltonian paths extending a set of matchings in hypercubes
Abid Ali, Lina Ba, Weihua Yang
The hypercube \( Q_n \) contains a Hamiltonian path joining \( x \) and \( y \) (where and from the opposite partite set) containing \( P \) if and only if the induced subg…
math.CO2025
Hamiltonian laceability with a set of faulty edges in hypercubes
Abid Ali, Weihua Yang
Faulty networks are useful because link or node faults can occur in a network. This paper examines the Hamiltonian properties of hypercubes under certain conditional faulty edges.…