Advanced network design for 6G: Leveraging graph theory and slicing for edge stability

The advent of 6 G networks will emphasize AR/VR-based tactile internet and touch-enabled services, requiring solutions to address latency and reliability issues in tactile data perception, particularly in edge networking. This article highlights the critical role of graph theory in improving network design for both symmetric and randomly deployed networks, and it emphasizes the importance of network slicing in managing densely connected edge networks. These networks typically consist of numerous edge devices that enable data transfer to higher layers, enhancing connectivity and ensuring network stability within a confined range. The paper compares the accuracy of conventional networks before and after implementing network slicing, with the goal of increasing reliability by dividing the edge network into segments, thereby reducing computation time. The study proposes a method for optimal node segregation and path determination in edge networks using both uniform and random network slicing. Network performance is assessed using metrics such as computation time and node failure rate. The paper concludes that network slicing is the most effective design approach for touch technology interfaces within 6 G and IoT frameworks.