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- W2889954559 abstract "The balanced hypercube was proposed as a novel interconnection network for large-scale parallel systems. It is known that the balanced hypercube is edge-bipancyclic. Given a set of edges P with | P | ≤ n − 1 and two vertices x and y in different bipartite sets, we show that there exists a Hamiltonian path from x to y passing through P in B H n if and only if P is a linear forest and, neither x nor y is an internal vertex of P , and x and y are not end-vertices of a component of P simultaneously. Consequently, the balanced hypercube contains a Hamiltonian cycle passing through a set P of at most n prescribed edges if and only if P is a linear forest. Moreover, our result improves some known results." @default.
- W2889954559 created "2018-09-27" @default.
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- W2889954559 date "2019-02-01" @default.
- W2889954559 modified "2023-10-16" @default.
- W2889954559 title "Hamiltonian paths passing through prescribed edges in balanced hypercubes" @default.
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- W2889954559 doi "https://doi.org/10.1016/j.tcs.2018.08.017" @default.
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