On reversing arcs to improve arc-connectivity
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}.
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