Realizing degree sequences with ${\mathcal{S}}_3$-connected graphs

Rui Guan, Chenglin Jiang, Hong-Jian Lai +2

A graph $G$ is ${\mathcal{S}}_3$-connected if, for any mapping $\beta :V(G)\mapsto {\mathbb{Z}}_3$ with ${\sum }_{v\in V(G)}\beta (v)\equiv 0(\mathrm{mod}3)$, there exists a strongly connected orientati…