- Tytuł:
- The Hanoi Graph $H_4^3$
- Autorzy:
-
Hinz, Andreas M.
Movarraei, Nazanin - Powiązania:
- https://bibliotekanauki.pl/articles/31348122.pdf
- Data publikacji:
- 2020-11-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
Hanoi graphs
Sierpiński graphs
metric dimension
domination number
dominator chromatic number - Opis:
- Metric properties of Hanoi graphs $H_p^n$ are not as well understood as those of the closely related, but structurally simpler Sierpiński graphs $S_p^p$. The most outstanding open problem is to find the domination number of Hanoi graphs. Here we concentrate on the first non-trivial case of $H_4^3$, which contains no 1-perfect code. The metric dimension and the dominator chromatic number of $H_4^3$ will be determined as well. This leads to various conjectures for the general case and will thus provide an orientation for future research.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2020, 40, 4; 1095-1109
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł