On the hierarchical product of graphs
Publikationen: Beitrag in Fachzeitschrift › Artikel › Forschung › (peer-reviewed)
Autoren
Organisationseinheiten
Externe Organisationseinheiten
- Berg- und Hüttenakademie Krakau
Abstract
The hierarchical product of graphs is a variant of the Cartesian product. It is associative, not commutative, and finite connected graphs have unique first prime factors with respect to it. We present examples of infinite graphs with different first prime factors, and show that homogeneous trees of finite degree have unique prime factoriza-tions with respect to the hierarchical product. On the way, we pose two problems.
Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 163-171 |
| Seitenumfang | 9 |
| Fachzeitschrift | Journal of Discrete Mathematics and Its Applications |
| Jahrgang | 9.2024 |
| Ausgabenummer | 3 |
| DOIs | |
| Status | Veröffentlicht - 15 Sept. 2024 |
