Combinatorics and Graph Theory


The Rectangular Spiral Solution for the n_1 X n_2 X … X n_k Points Problem

Authors: Marco Ripà

A generalization of Ripà’s square spiral solution for the nXnX…X n points upper bound problem. Additionally, we provide a non-trivial lower bound for the k-dimensional n_1Xn_2X…Xn_k points problem. In this way, we can build a range in which, with certainty, all the best possible solutions to the problem we are considering will fall. Finally, we provide a few characteristic numerical examples in order to appreciate the fineness of the result arising from the particular approach we have chosen.

Comments: 13 Pages.

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Submission history

[v1] 2013-07-19 21:01:04
[v2] 2013-09-06 17:31:43
[v3] 2014-01-11 12:49:08

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