Automorphisms of kaleidoscopical graphs
A regular connected graph \(\Gamma\) of degree \(s\) is called kaleidoscopical if there is a \((s+1)\)-coloring of the set of its vertices such that every unit ball in \(\Gamma\) has no distinct monochrome points. The kaleidoscopical graphs can be considered as a graph counterpart of the Hamming cod...
Збережено в:
| Дата: | 2018 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/849 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | A regular connected graph \(\Gamma\) of degree \(s\) is called kaleidoscopical if there is a \((s+1)\)-coloring of the set of its vertices such that every unit ball in \(\Gamma\) has no distinct monochrome points. The kaleidoscopical graphs can be considered as a graph counterpart of the Hamming codes. We describe the groups of automorphisms of kaleidoscopical trees and Hamming graphs. We show also that every finitely generated group can be realized as the group of automorphisms of some kaleidoscopical graphs. |
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