Combinatorics and Graph Theory


Solving the N_1 X N_2 X N_3 Points Problem for N_3 < 6

Authors: Marco Ripà

In this paper, we show enhanced upper bounds of the nontrivial n_1 × n_2 × n_3 points problem for every n_1 ≤ n_2 ≤ n_3 < 6. We present new patterns that drastically improve the previously known algorithms for finding minimum-link covering paths, solving completely a few cases (e.g., n_1 = n_2 = 3 and n_3 = 4).

Comments: 12 Pages.

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Submission history

[v1] 2019-06-27 07:39:47
[v2] 2019-07-07 19:40:18
[v3] 2019-07-08 21:41:41
[v4] 2019-07-09 12:05:25
[v5] 2019-07-22 12:27:42

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