Non-separating even cycles in highly connected graphs |
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Authors: | Shinya Fujita Ken-ichi Kawarabayashi |
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Affiliation: | 1. Department of Mathematics, Gunma National College of Technology, 580 Toriba, Maebashi Gunma, 371-8530, Japan
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Abstract: | We prove that every k-connected graph (k ≥ 5) has an even cycle C such that G-V (C) is still (k-4)-connected. The connectivity bound is best possible. |
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