## 1 Introduction  
Despite the widespread development of technologies, such as 5G and optical transmission networks, the deployment of ground networks is still constrained by various factors, including geography, economics, and the environment. According to statistics from the International Telecommunication Union (ITU) [1], as of the end of 2022, approximately 5.3 billion people worldwide were using the Internet, while 2.7 billion people still did not have access to the Internet. Compared to traditional ground network solutions, satellite networks can provide broader coverage and can be applied in special scenarios, such as disaster relief and emergency communication. They can leverage satellite multi-beam capabilities to achieve large-scale flexible communication [2]. With these advantages, satellite networks serve as a flexible supplement and effective extension of ground mobile communication networks, integrating with ground networks to provide seamless coverage of network services. Low Earth Orbit (LEO) satellites, with their lower communication latency and superior signal quality, represent a key focus and important component of the current satellite industry. However, current research on satellite networking methods is primarily based on existing microwave communication transmission technologies, focusing on small-scale networking and satellite-ground communication. The existing link scheduling schemes are not suitable for the context of Low Earth Orbit mega-constellations with inter-satellite laser interconnectivity. With the rapid increase in the number of satellites and the enlargement of network scales, as well as the expected use of laser communication schemes between satellites, in the context of tens of thousands of satellites, the increased routing hops and delays resulting from dense satellite networking may erode the advantages of laser communication [3]. Therefore, traditional satellite networking schemes fail to fully exploit the ultra-low latency advantages brought by networks of tens of thousands of satellites and inter-satellite laser communication. Simultaneously, as space communication tasks become increasingly complex, the demand for time-sensitive services continues to grow, posing new challenges for information transmission. On one hand, internal satellite systems are required to possess high bandwidth, reliability, and real-time capabilities. On the other hand, inter-satellite communication established through wireless links needs to have low latency and high reliability. However, when business data are forwarded within satellite nodes and transmitted via wireless links between satellites, congestion at nodes and uncontrollable transmission delays may occur, thus failing to meet the key requirements of real-time transmission and controllable latency for time-sensitive services. To simplify long-distance data business transfers, our team proposed a new solution based on optical interconnect parallel subnetworks for routing transmissions in earlier research [4]. Optical interconnect parallel subnetworks refer to dividing many satellites in the orbital plane of LEO satellites into multiple secondary subnetworks based on the spatial positions and link conditions of LEO satellites. The satellites within the same secondary subnetwork are closely related, and each secondary subnetwork is treated as a node [5], forming a new graph topology. This is known as the subdivided satellite network. Due to the small scale of the network and the lack of optical links, traditional satellite networks rely on routing communication with adjacent satellites, which poses challenges for long-distance transmission [6]. After subdividing into parallel subnetworks, communication within the network is based on optical links, with the lengths of adjacent satellite links within secondary subnetworks ranging from hundreds to thousands of kilometers. Additionally, there are adjacent satellite links and long-distance optical links between them, which can facilitate direct transmission using laser characteristics.