Highly edge-connected factors using given lists on degrees |
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Authors: | Saieed Akbari Morteza Hasanvand Kenta Ozeki |
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Affiliation: | 1. Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran;2. Yokohama National University, 79-2 Tokiwadai, Hodogaya-ku, Yokohama 240-8501 Japan |
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Abstract: | Let G be a 2k-edge-connected graph with and let for every . A spanning subgraph F of G is called an L-factor, if for every . In this article, we show that if for every , then G has a k-edge-connected L-factor. We also show that if and for every , then G has a k-edge-connected L-factor. |
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Keywords: | connected -factor connectivity k-edge-connected L-factor regular graph |
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