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- W4292420127 abstract "The balanced hypercube $BH_{n}$, a variant of the hypercube, is a novel interconnection network for massive parallel systems. It is known that the balanced hypercube remains Hamiltonian after deleting at most $4n-5$ faulty edges if each vertex is incident with at least two edges in the resulting graph for all $ngeq2$. In this paper, we show that there exists a fault-free Hamiltonian cycle in $BH_{n}$ for $nge 2$ with $left | F right |le 5n-7$ if the degree of every vertex in $BH_{n}-F$ is at least two and there exists no $f_{4}$-cycles in $BH_{n}-F$, which improves some known results." @default.
- W4292420127 created "2022-08-20" @default.
- W4292420127 creator A5033539222 @default.
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- W4292420127 date "2022-08-17" @default.
- W4292420127 modified "2023-09-29" @default.
- W4292420127 title "Hamiltonian cycles of balanced hypercube with more faulty edges" @default.
- W4292420127 doi "https://doi.org/10.48550/arxiv.2208.08601" @default.
- W4292420127 hasPublicationYear "2022" @default.
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