Caching close to users in a radio access network (RAN) has been identified as a promising method to reduce a backhaul traffic load and minimize latency in 5G and beyond. In this paper, we investigate a novel community detection inspired by a proactive caching scheme for device-to-device (D2D) enabled networks. The proposed scheme builds on the idea that content generated/accessed by influential users is more probable to become popular and thus can be exploited for pro-caching. We use a Clustering Coefficient based Genetic Algorithm (CC-GA) for community detection to discover a group of cellular users present in close vicinity. We then use an Eigenvector Centrality measure to identify the influential users with respect to the community structure, and the content associated to it is then used for pro-active caching using D2D communications. The numerical results show that, compared to reactive caching, where historically popular content is cached, depending on cache size, load and number of requests, up to 30% more users can be satisfied using a proposed scheme while achieving significant reduction in backhaul traffic load.

Graph representations in fixed dimensional feature space are vital in applying learning tools and data mining algorithms to perform graph analytics. Such representations must encode the graph's topological and structural information at the local and global scales without posing significant computation overhead. This paper employs a unique approach grounded in networked control system theory to obtain expressive graph representations with desired properties. We consider graphs as networked dynamical systems and study their controllability properties to explore the underlying graph structure. The controllability of a networked dynamical system profoundly depends on the underlying network topology, and we exploit this relationship to design novel graph representations using controllability Gramian and related metrics. We discuss the merits of this new approach in terms of the desired properties (for instance, permutation and scale invariance) of the proposed representations. Our evaluation of various benchmark datasets in the graph classification framework demonstrates that the proposed representations either outperform (sometimes by more than 6%), or give similar results to the state-of-the-art embeddings.