## 4 Conclusions  
This paper has examined the importance of topology control strategies in inter-satellite communication networks and proposed a \"3 + 1\" topology control strategy based on dynamic link optimization. By treating the dynamic link problem as a general graph maximum weight-matching issue and adopting the elite retention strategy, the average link duration has been improved, along with the increased stability of the topology and a significant reduction in the frequency of topological changes. Experimental results have verified the advantages of the proposed algorithm over traditional methods in terms of link endurance and topology flexibility, providing a fresh perspective and methodology for further research on inter-satellite topology control strategies.  
Future research can extend in multiple directions, including considering more constraints for establishing dynamic links to enhance the link quality and stability. Additionally, further investigation is needed on applying the proposed topology control strategy to broader constellations like multi-layer satellite networks, taking into consideration practical operating environments and limitations. Moreover, combining the present algorithm with other optimization algorithms to achieve more efficient topology control is also worth investigating.  
Another important direction is the consideration of ground station positions and their connection issues. Previous studies have highlighted the significance of ground station placement in non-geostationary satellite constellations, which directly influences the network performance and routing strategies [26; 27; 28]. The position of ground stations directly impacts the routing strategy and the number of hops in the inter-satellite link network. Therefore, investigating how to integrate ground station connection strategies with the \"3 + 1\" topology control strategy is a worthwhile endeavor. Future research can explore dynamic links between ground stations and satellites and how to achieve optimal connections between them to further enhance the overall network's efficiency and flexibility.  
In summary, the proposed inter-satellite topology control strategy based on dynamic link optimization presented in this paper not only demonstrates theoretical innovation but also holds potential practical value. It provides a solid theoretical foundation and practical technical support for the future development of inter-satellite communication networks.  
Figure 20: Comparison of the shortest path delays between Los Angeles and Xiamen using the dynamic link ‘3 + 1’ topology and the traditional Manhattan configuration based on [PERSON]’s algorithm.  
**Author Contributions:** Conceptualization, Y.L. and L.C.; methodology, Y.L.; software, Y.L.; validation, Y.L., J.W. and G.K.; formal analysis, Y.L.; investigation, Y.L.; resources, Y.L.; data curation, Y.L.; writing--original draft preparation, Y.L.; writing--review and editing, Y.L. and J.W.; visualization, Y.L. and J.W.; supervision, Y.Q. and W.Z.; project administration, J.W.; funding acquisition, G.K. All authors have read and agreed to the published version of the manuscript.  
**Funding:** This research received no external funding.  
**Data Availability Statement:** The raw data supporting the conclusions of this article will be made available by the authors on request.  
**Conflicts of Interest:** The authors declare no conflict of interest.