Minimum and Maximum Strong Radius of the Strong Product of Cycles

In strong oriented networks, the strong radius, defined as the minimum strong distance between any two nodes, significantly affects the efficiency of information transmission. A larger radius indicates a greater distance between nodes in the network, which results in decreased transmission efficiency and increased latency. In practice, optimizing the strong radius enhances network structure, accelerating information transmission and significantly reducing energy consumption and costs linked to long-distance transmission. This optimization is crucial for maintaining an efficient and cost-effective network system. In this paper, we used the strong product approach, employing cycles as factor graphs to construct strong product networks of cycles, and determined their minimum strong radius. Additionally, we established the upper and lower bounds for the maximum strong radius of these networks.