Ollivier-Ricci curvature on multi-channel interference constrained wireless networks

This paper investigates the Olivier-Ricci curvature (ORC) characteristics of a low-power wireless network deployment. We quantitatively analyze how the OCR varies among different channels of a IEEE 802.15.4-based network heavily influenced by external interference. And, finally, verify the correlation between the topology curvature of network graphs and the performance of time-scheduled protocols. Results show that the Ollivier-Ricci curvature has a direct connection with the number of timeslots required for data collection in multihop multi-channel networks. One could leverage such results to determine the performance of wireless networks based on the topological characteristic of its connectivity graph.