A simple theorem on 3-connectivity |
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Authors: | Robert E Bixby |
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Institution: | Department of Industrial Engineering and Management Sciences Northwestern University Evanston, Illinois 60201, USA |
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Abstract: | It is well known that for any element of a connected matroid, either the deletion or the contraction of that element preserves connectivity. We prove a simple and natural generalization to 3-connected matroids. This result is used to prove Seymour's generalization of a theorem of Kelmans. |
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