View-obstruction problems

DOI10.1007/BF01832623zbMath0265.52003MaRDI QIDQ2562378

Thomas W. Cusick

Publication date: 1973

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136343

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)

Related Items (30)

View-obstruction: a shorter proof for 6 lonely runners ⋮ Barely lonely runners and very lonely runners: a refined approach to the Lonely Runner Problem ⋮ A Markoff-type chain for the view-obstruction problem for spheres in \(\mathbb{R}^ 4\) ⋮ Bounds for the lonely runner problems via linear programming ⋮ On the time for a runner to get lonely ⋮ The view-obstruction problem for spheres in \(\mathbb{R}^ 5\) ⋮ The view-obstruction problem for 3-dimensional spheres ⋮ Flows, view obstructions, and the lonely runner ⋮ On the fractional parts of powers of Pisot numbers of length at most 4 ⋮ Coprime mappings and lonely runners ⋮ Regular chromatic number and the lonely runner problem ⋮ View-Obstruction Problems. II ⋮ Solving lonely runner conjecture through differential geometry ⋮ Random runners are very lonely ⋮ Cosine sign correlation ⋮ The lonely runner problem for lacunary sequences ⋮ LONELY RUNNERS IN FUNCTION FIELDS ⋮ Some remarks on the lonely runner conjecture ⋮ On the covering radius of lattice zonotopes and its relation to view-obstructions and the lonely runner conjecture ⋮ Invisible runners in finite fields ⋮ Computing the \(k\)-resilience of a synchronized multi-robot system ⋮ Lonely Runner Polyhedra ⋮ On a conjecture in diophantine approximations. II ⋮ Problems on track runners ⋮ The view-obstruction problem for \(n\)-dimensional cubes ⋮ On the chromatic number of circulant graphs ⋮ Computing the covering radius of a polytope with an application to lonely runners ⋮ View-obstruction problems. III ⋮ On a conjecture in diophantine approximations. III ⋮ View-obstruction problem for 3-dimensional spheres

Cites Work

• Zur simultanen homogenen diophantischen Approximation. I, II, III

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