Permutation snarks
نویسنده
چکیده
A permutation snark is a cubic graph with no 3-edge-colouring that contains a 2-factor consisting of two induced circuits. In the talk we analyse the basic properties of permutation snarks, focusing on the structure of edge-cuts of size 4 and 5. As an application of our knowledge we provide rich families of cyclically 4edge-connected and 5-edge-connected permutation snarks of order 8n+2 for each integer n ≥ 2 and n ≥ 4, respectively, superseding a recent work of J. Hägglund and A. Hoffmann-Ostenhof [1].
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تاریخ انتشار 2016