5 papers
Reduction Operations and Structural Characterizations of -Flows in Graphs
Chenxing Li, Jiaao Li, Rong Luo +1
While every graph admitting a nowhere-zero -flow also admits an -flow, the converse does not hold in general as shown by Thomassen (2014). In this paper, we develop reducti…
Reconfiguration of Nowhere-zero Flows
Daniel W. Cranston, Jiaao Li, Bo Su +2
Fix an abelian group , a graph , and nowhere-zero -flows and on . Now and are \emph{-flow-adjacent} if there exists a cycle in such tha…
Orientations of -Edge-Connected Planar Multigraphs and Applications
Daniel W. Cranston, Jiaao Li, Bo Su +2
A graph is called strongly -connected if for each boundary function with , there exists an orientatio…
Characterization of strongly -connected graphs of small order
Jiaao Li, Bo Su, Zhouningxin Wang +1
A graph is strongly -connected if for each boundary function with for every vertex and $\sum_{v \in V(G)} β…
High-Dimensional -Normed Flows
Chenxing Li, Jiaao Li, Rong Luo +1
We generalize Tutte's integer flows and the -dimensional Euclidean flows of Mattiolo, Mazzuoccolo, RajnÃk, and Tabarelli to \emph{-dimensional -normed nowhere-zero flows}…