期刊论文

Li, Xiangwen

英文

中国高等学校学术文摘·数学

1673-3452

2016

11

6

1533-1567

10.1007/s11464-015-0457-z

Acknowledgements The first author was supported by the Excellent Doctorial Dissertation Cultivation Grant from Huazhong Normal University （2013YBYB42）. The second author was supported in part 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

Let G be a 2-edge-connected simple graph on n vertices. For an edge e = uv ∈ E(G), define d(e) = d(u) + d(v). Let F denote the set of all simple 2-edge-connected graphs on n ≥ 4 vertices such that G ∈ F if and only if d(e) + d(e')≥ 2n for every pair of independent edges e, e' of G. We prove in this paper that for each G ∈ F,G is not Z_3-connected if and only if G is one of K_(2,n-2), K_(3.n-3)~+ or one of the 16 specified graphs, which generalizes the results of X. Zhang et al. [Discrete Math., 2010, 310: 3390—3397] and G. F...