Provides right-angled Artin group presentations for B_n(p×q) when the square configuration space is aspherical, matching Artin's presentation minus relations for width-2 cases, and deduces LS category plus k-sequential topological complexities.
On the complexity of parametrized motion planning algorithms.arXiv.2508.17629
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves dTC(Γ)=TC(Γ) for torsion-free hyperbolic and nilpotent groups, shows dTC(L^n_p)≤2p-1 and dcat(L^n_p)≤p-1 (equality in some cases), and derives counterexamples to product formulas.
citing papers explorer
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A combinatorial genesis of the right-angled relations in Artin's classical braid groups
Provides right-angled Artin group presentations for B_n(p×q) when the square configuration space is aspherical, matching Artin's presentation minus relations for width-2 cases, and deduces LS category plus k-sequential topological complexities.
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On distributional topological complexity of groups and manifolds
Proves dTC(Γ)=TC(Γ) for torsion-free hyperbolic and nilpotent groups, shows dTC(L^n_p)≤2p-1 and dcat(L^n_p)≤p-1 (equality in some cases), and derives counterexamples to product formulas.