Cycles in k-connected graphs whose deletion results in a (k-2)-connected graph |
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Institution: | Department of Applied Mathematics, Science University of Tokyo, Shinjuku-ku, Tokyo, 162 Japan |
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Abstract: | It is shown that for k ≥ 3, every k-connected graph G with girth at least 4 contains an induced cycle C such that G − V(C) is (k − 2)-connected. |
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