Longest Hamiltonian in N<sub>odd-</sub>Gon

¹ Depto de Matemática, Universidad Nacional del Sur, Bahía Blanca, Argentina

Abstract

We single out the polygonal paths of n odd -1 order that solve each of the different longest non-cyclic Euclidean Hamiltonian path problems in networks by an arithmetic algorithm. As by product, the procedure determines the winding index of cyclic Hamiltonian polygonals on the vertices of a regular polygon.

KeywordsHamiltonian PathExtremal ProblemsEuclidean Geometric ProblemFarthest Neighbor ToursTraveling Salesman ProblemGeometry of Odd Regular Polygons

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Longest Hamiltonian in N<sub>odd-</sub>Gon

Abstract

References (12)