Optimal Radio Labeling for the Strong Product of Multiple Paths

The increasing amount of wireless mobile users has led to higher requirements for information transmission rates when communicating wirelessly. In wireless communication systems, channel resources are reused between radio stations due to the finite nature of channel resources, which can lead to problems such as inter-channel interference and low channel utilization. Therefore, an effective and reliable channel resource allocation strategy is particularly important. In this paper, we focus on modeling the channel allocation task between radio stations using the strong product graphs of multiple paths, where two of the paths are special 2-nd order paths, the other one is n-th order path. The optimal radio labeling used under such wireless communication networks is calculated by the radio labeling function.