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- W2891052019 abstract "In this paper, we consider the problem of decomposing the augmented cube $AQ_n$ into two spanning, regular, connected and pancyclic subgraphs. We prove that for $ n geq 4$ and $ 2n - 1 = n_1 + n_2 $ with $ n_1, n_2 geq 2,$ the augmented cube $ AQ_n$ can be decomposed into two spanning subgraphs $ H_1$ and $ H_2$ such that each $ H_i$ is $n_i$-regular and $n_i$-connected. Moreover, $H_i$ is $4$-pancyclic if $ n_i geq 3.$" @default.
- W2891052019 created "2018-09-27" @default.
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- W2891052019 date "2018-09-10" @default.
- W2891052019 modified "2023-10-14" @default.
- W2891052019 title "Decomposition of Augmented Cubes into Regular Connected Pancyclic Subgraphs" @default.
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- W2891052019 doi "https://doi.org/10.48550/arxiv.1809.03493" @default.
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