Inversions of size exactly p characterize when large digraphs become k-arc-strong, while at most p-sized inversions admit a (4k-2+ε)-approximation for the minimum number needed and are NP-hard and APX-hard to optimize.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.CO 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
The (≤p)-inversion diameter of any graph G is at most ceil(|E(G)| / floor(p/2)) + Ψ_p, where Ψ_p satisfies (p/4 - 3/2) ≤ Ψ_p ≤ p²/2, with improved linear-in-n bounds for trees and planar graphs.
citing papers explorer
-
Increasing arc-connectivity by bounded- and fixed-size inversions
Inversions of size exactly p characterize when large digraphs become k-arc-strong, while at most p-sized inversions admit a (4k-2+ε)-approximation for the minimum number needed and are NP-hard and APX-hard to optimize.
-
On the $(\leq p)$-inversion diameter of oriented graphs
The (≤p)-inversion diameter of any graph G is at most ceil(|E(G)| / floor(p/2)) + Ψ_p, where Ψ_p satisfies (p/4 - 3/2) ≤ Ψ_p ≤ p²/2, with improved linear-in-n bounds for trees and planar graphs.