(1) Department ofGeometryandAlgebra, P.J. afárik University, Jesenná 5, 04154 Koice, Slovakia;(2) Department of Mathematical and Computing Sciences, University of Surrey, GU25XH Guildford, Surrey, UK
Abstract:
It is shown that every regular 3-valent polyhedral graph whose faces are all 5-gons and 6-gons contains a cycle through at least 4/5 of its vertices.