Longest Hamiltonian in N_odd-Gon

Blanca I. Niel

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

DOI: 10.4236/ojdm.2013.32015                

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.

Keywords

Hamiltonian Path; Extremal Problems; Euclidean Geometric Problem; Farthest Neighbor Tours; Traveling Salesman Problem; Geometry of Odd Regular Polygons

Conflicts of Interest

The authors declare no conflicts of interest.

References

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