Title
Nowhere-zero 3-flows in toroidal graphs
Abstract
Tutte's 3-flow conjecture states that every 4-edge-connected graph admits a nowhere-zero 3-flow. The planar case of Tutte's 3-flow conjecture is the classical Grötzsch's Theorem (1959). Steinberg and Younger (1989) further verified Tutte's 3-flow conjecture for projective planar graphs. In this paper we confirm Tutte's 3-flow conjecture for all toroidal graphs.
Year
DOI
Venue
2022
10.1016/j.jctb.2021.11.001
Journal of Combinatorial Theory, Series B
Keywords
DocType
Volume
Integer flow,Tutte's 3-flow conjecture,Toroidal graphs
Journal
153
ISSN
Citations 
PageRank 
0095-8956
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Jiaao Li102.70
Yulai Ma201.01
Zhengke Miao300.34
Yongtang Shi451155.83
Weifan Wang500.34
Cun-Quan Zhang600.68