It is shown that every 5-connected graph embedded in the projective plane with face-width at least 3 contains the complete graph on 6 vertices as a minor.
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Yokohama Natl Univ, Fac Educ & Human Sci, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 2408501, JapanYokohama Natl Univ, Fac Educ & Human Sci, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan
Mukae, Raiji
Nalkamoto, Atsuhiro
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Yokohama Natl Univ, Fac Educ & Human Sci, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 2408501, JapanYokohama Natl Univ, Fac Educ & Human Sci, Dept Math, Hodogaya Ku, Yokohama, Kanagawa 2408501, Japan
机构:
Natl Inst Informat, Chiyoda Ku, Tokyo 1018430, JapanNatl Inst Informat, Chiyoda Ku, Tokyo 1018430, Japan
Kawarabayashi, Ken-Ichi
Mukae, Raiji
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Yokohama Natl Univ, Grad Sch Environm & Informat Sci, Dept Informat Media & Environm Sci, Hodogaya Ku, Yokohama, Kanagawa 2408501, JapanNatl Inst Informat, Chiyoda Ku, Tokyo 1018430, Japan
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Niigata Univ, Grad Sch Sci & Technol, 8050 Ikarashi 2 No Cho,Nishi Ku, Niigata 9502181, JapanNiigata Univ, Grad Sch Sci & Technol, 8050 Ikarashi 2 No Cho,Nishi Ku, Niigata 9502181, Japan