| Issue |
RAIRO-Theor. Inf. Appl.
Volume 59, 2025
|
|
|---|---|---|
| Article Number | 4 | |
| Number of page(s) | 11 | |
| DOI | https://doi.org/10.1051/ita/2025003 | |
| Published online | 19 August 2025 | |
Zagreb index in exponential plane-oriented recursive trees
Department of Statistics, Faculty of Sciences, University of Zanjan,
Iran
* Corresponding author: javanian@znu.ac.ir
Received:
28
March
2023
Accepted:
13
July
2025
The Zagreb index of a graph is the sum of the squared degrees of all nodes in the graph. In this note, we study the Zagreb index of exponential plane-oriented recursive trees. We first show the convergence in L2 for the root degree. Then we calculate the first two moments of the Zagreb index from a recurrence. Finally, the limit law for the Zagreb index of an exponential plane-oriented recursive tree is characterized by an application of the contraction method.
Mathematics Subject Classification: 05C05 / 60F25 / 60F17
Key words: Exponential plane-oriented recursive trees / contraction method / convergence in L2
© The authors. Published by EDP Sciences, 2025
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.