# Tree network

Tree network topology

A tree network, or star-bus network, is a hybrid network topology in which star networks are interconnected via bus networks.[1][2] Tree networks are hierarchical, and each node can have an arbitrary number of child nodes.

## Regular tree networks

A regular tree network's topology is characterized by two parameters: the branching, ${\displaystyle d}$, and the number of generations, ${\displaystyle G}$. The total number of the nodes, ${\displaystyle N}$, and the number of peripheral nodes ${\displaystyle N_{p}}$, are given by [3]

${\displaystyle N={\frac {d^{G+1}-1}{d-1}},\quad N_{p}=d^{G}}$

## Tools to deal with networks

A group at MIT has developed a set of functions for Matlab that can help in analyzing the networks. These tools could be used to study the tree networks as well.

L. de Weck, Oliver. "MIT Strategic Engineering Research Group (SERG), Part II". Retrieved May 1, 2018.

## References

1. ^ Bradley, Ray. Understanding Computer Science (for Advanced Level): The Study Guide. Cheltenham: Nelson Thornes. p. 244. ISBN 978-0-7487-6147-0. OCLC 47869750. Retrieved 2016-03-26.
2. ^ Sosinsky, Barrie A. (2009). "Network Basics". Networking Bible. Indianapolis: Wiley Publishing. p. 16. ISBN 978-0-470-43131-3. OCLC 359673774. Retrieved 2016-03-26.
3. ^ Kromer, J.; Khaledi-Nasab, A; Schimansky-Geier, L.; Neiman, A.B (2017). "Emergent stochastic oscillations and signal detection in tree networks of excitable elements". Scientific Reports. 7. arXiv:1701.01693. doi:10.1038/s41598-017-04193-8.