期刊论文

Li, Xiangwen

英文

中国高等学校学术文摘·数学

1673-3452

2015

10

2

293-302

10.1007/s11464-014-0378-2

Acknowledgements The first author was supported by the Natural Science Foundation of China （Grant No. 11301254）, the Natural Science Foundation of Henan Province （Grant No. 132300410313）, and the Natural Science Foundation of Education Bureau of Henan Province （Grant No. 13A110800）. The second author was supported by the National Natural Science Foundation of China （Grant No. 11171129） and the Doctoral Fund of Ministry of Education of China （Grant No. 20130144110001）.

本校为第一且通讯机构

Tutte conjectured that every 4-edge-connected graph admits a nowhere-zero 3-flow. In this paper, we show that this conjecture is true for Cayley graph on generalized dihedral groups and generalized quaternion groups, which generalizes the result of F. Yang and X. Li [Inform. Process. Lett., 2011, 111: 416–419]. We also generalizes an early result of M. Nánásiová and M. Škoviera [J. Algebraic Combin., 2009, 30: 103–110]. © 2014, Hig...

Tutte 推测了那每张 4-edge-connected 图承认一没什么地方 -- 零 3 流动。在这份报纸，我们证明这推测是真的因为概括的二面的组和概括四元数上的 Cayley 图组织，它概括 F. 杨和 X. 李的结果[通知。过程。Lett， 2011， 111：416419 ] 。我们也概括 M 的早结果。N 桴？