Special Hist-Snarks

Abstract

A Hist in a cubic graph G is a spanning tree T which has only vertices of degree three and one. A snark with a Hist is called a Hist-snark, see HO. We present several computer generated Hist-snarks which form generalizations of the Petersen graph. Moreover, we state some results on Hist-snarks which have been achieved with computer support.

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