In this paper we show that a 2-connected locally semicomplete digraph of order at least 8 is not cycle complementary if and only if it is 2-diregular and has odd order. This result yields immediately two conjectures of Bang-Jensen.
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Univ Nacl Autonoma Mexico, Inst Matemat, Ciudad Univ, Mexico City 04510, DF, MexicoUniv Nacl Autonoma Mexico, Inst Matemat, Ciudad Univ, Mexico City 04510, DF, Mexico
Galeana-Sanchez, Hortensia
Olsen, Mika
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Univ Autnoma Metropolitana Cuajimalpa, Dept Matemat Aplicadas & Sistemas, Ave Vasco de Quiroga 4871, Mexico City 05348, DF, MexicoUniv Nacl Autonoma Mexico, Inst Matemat, Ciudad Univ, Mexico City 04510, DF, Mexico
机构:
Department of Mathematics, Nanjing University, Nanjing
Department of Mathematms, Zhejiang Normal University, JinhuaDepartment of Mathematics, Nanjing University, Nanjing
Zhang K.
Bu Y.
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Department of Mathematics, Nanjing University, Nanjing
Department of Mathematms, Zhejiang Normal University, JinhuaDepartment of Mathematics, Nanjing University, Nanjing