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K 6-Minors in Triangulations on the Nonorientable Surface of Genus 3 |
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| Authors: | Raiji Mukae Atsuhiro Nakamoto Yoshiaki Oda Yusuke Suzuki |
| Affiliation: | 1. Department of Mathematics, Faculty of Education and Human Sciences, Yokohama National University, 79-2 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan 2. Department of Mathematics, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan 3. General Sciences, Tsuruoka National College of Technology, Tsuruoka, 997-8511, Japan |
| Abstract: | In this paper, we shall give a constructive characterization of triangulations on the nonorientable surface of genus 3 without K 6-minors. Our characterization implies that every 5-connected triangulation and every 4-representative triangulation on the surface has a K 6-minor. |
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