On reversing arcs to improve arc-connectivity

05/02/2023

∙

by   Pierre Hoppenot, et al.

∙

0

∙

share

We show that if the arc-connectivity of a directed graph D is at most ⌊k+1/2⌋ and the reorientation of an arc set F in D results in a k-arc-connected directed graph then we can reorient one arc of F without decreasing the arc-connectivity of D. This improves a result of Fukuda, Prodon, Sakuma and one of Ito et al. for k∈{2,3}.