Geodesic
About the task ``Knights of the King Arthur'' for developing multilevel tasks
Matematičeskoe obrazovanie, Tome 93 (2020) no. 1, pp. 24-27.

Voir la notice de l'article provenant de la source Math-Net.Ru

Solutions to the problem of selecting “non-neighboring” objects are given. The cases of placing objects on a circle and on a straight line are considered. The irreversibility of the arrangement and selection of homogeneous objects in combinatorics is noted. A method of selecting “non-neighbors” is proposed, which is based on the interpretation of the concept of “non-neighbors” as objects separated by a common “neighbor”. Algorithms for selecting even and odd numbers of objects and a method for “through one” selecting are proposed.
Keywords: combinatorial problems, restrictions on the order of choice. 
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V. K. Gavrilov. About the task ``Knights of the King Arthur'' for developing multilevel tasks. Matematičeskoe obrazovanie, Tome 93 (2020) no. 1, pp. 24-27. http://geodesic.mathdoc.fr/item/MO_2020_93_1_a2/

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