Seminár z teórie grafov - Martin Škoviera (5.3.2020)

vo štvrtok 5.3.2020 o 9:50 hod. v miestnosti M/213

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Prednášajúci: Martin Škoviera

Názov: Binary snarks with rotation symmetry

Termín: 5.3.2020, 9:50 hod., M/213

Abstrakt:
A binary snark is a cubic graph which cannot be properly 3-edge-coloured and is spanned by the balanced cubic tree T_d of depth d for some d. A binary snark G is called a rotation snark if an automorphism of T_d that cyclically permutes the edges incident with the root of T_d extends to an automorphism of G. One motivation for the study of rotation snarks comes from the intention to find small snarks of girth 7 and even cyclically 7-connected snarks. So far, only very few binary snarks have been found (one of them being the Petersen graph), mostly as a result of an extensive computer search. We present a construction of infinitely many rotation snarks with cyclic connectivity 5.

This is a joint work with Edita Macajova.

 

 

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