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3-Colorable Even Embeddings on Closed Surfaces
Authors:Atsuhiro Nakamoto  Norihito Sasanuma
Institution:(1) Department of Mathematics, Faculty of Education and Human Sciences, Yokohama National University, 79-2 Tokiwadai, Hodogaya-ku, Yokohama 240-8501, Japan
Abstract:It is known that for any closed surface F2, every even embedding on F2 with sufficiently large representativity is 4-colorable. In this paper, we shall characterize 3-colorable even embeddings on F2 with sufficiently large representativity.
Keywords:Even embedding  Cycle parity  Coloring  Representativity
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