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Regular maps on non-orientable surfaces
Authors:Marston Conder  Brent Everitt
Institution:(1) Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand
Abstract:It is well known that regular maps exist on the projective plane but not on the Klein bottle, nor the non-orientable surface of genus 3. In this paper several infinite families of regular maps are constructed to show that such maps exist on non-orientable surfaces of over 77 per cent of all possible genera.
Keywords:05C25
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