A graph is called biclaw-free if it has no biclaw as an introduced subgraph. Lai and Yao [Discrete Math., 307 (2007) 1217] conjectured that every 2-connected biclaw-free graph G with delta(G) >= 4 has a spanning eulerian subgraph H with maximum degree Delta(H) <= 4. In this note, the conjecture is answered to the negative.
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Chongqing Technol & Business Univ, Fac Sci, Chongqing 400047, Peoples R ChinaChongqing Technol & Business Univ, Fac Sci, Chongqing 400047, Peoples R China
Li, Dengxin
Li, Shengyu
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Chongqing Technol & Business Univ, Fac Comp & Informat Engn, Chongqing 400047, Peoples R ChinaChongqing Technol & Business Univ, Fac Sci, Chongqing 400047, Peoples R China
机构:
Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R ChinaHuazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China
Li, Xiangwen
Wang, Chunxiang
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Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R ChinaHuazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China
Wang, Chunxiang
Fan, Qiong
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Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R ChinaHuazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China
Fan, Qiong
Niu, Zhaohong
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Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R ChinaHuazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China
Niu, Zhaohong
Xiong, Liming
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Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
Jiangxi Normal Univ, Dept Math, Nanchang 330027, Peoples R ChinaHuazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China