Uniform cyclic edge connectivity in cubic graphs |
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Authors: | R E L Aldred D A Holton Bill Jackson |
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Institution: | (1) Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin, New Zealand;(2) Department of Mathematics, Goldsmith College, University of London, London, England |
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Abstract: | A cubic graph which is cyclicallyk-edge connected and has the further property that every edge belongs to some cyclick-edge cut is called uniformly cyclicallyk-edge connected(U(k)). We classify theU(5) graphs and show that all cyclically 5-edge connected cubic graphs can be generated from a small finite set ofU(5) graphs by a sequence of defined operations.MATHDAHCOTAGE.AC.NZ |
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Keywords: | 05 C 40 |
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