THE HANOI GRAPH H-4(3)

Hinz, Andreas M.; Movarraei, Nazanin (2020): THE HANOI GRAPH H-4(3). In: Discussiones Mathematicae Graph Theory, Vol. 40, No. 4: pp. 1095-1109

Abstract

Metric properties of Hanoi graphs H-p(n) are not as well understood as those of the closely related, but structurally simpler Sierpinski graphs S-p(n). 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1234-3099
• Language: English