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We present direct and recursive constructions for some classes of cyclic i-perfect k-cycle systems with special attention to cyclic Steiner k-cycle systems and cyclic Kirkman k-cycle systems.
It has already been proved that given two closed surfaces F12 and F22 with 2χ(F12)-χ(F22)⩾4, there exists a triangulation on F12 which can be embedded on F22 as a quadrangulation. In this paper we refine that result, showing that there exists an integer g0 such that for any two closed surfaces with genus g1⩾g0 and genus g2 satisfying 2χ(F12)-χ(F22)⩾O(g1), there exists a triangulation of the first...
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