The field of natural language processing is moving towards incorporating structure-aware techniques into large language models (LLMs) to improve their performance on tasks involving structured inputs such as graphs. This direction is driven by the need to better capture the complexities of human language and to apply LLMs to a wider range of applications. Recent work has focused on developing methods that can effectively integrate graph topology into pretrained LLMs without requiring significant architectural changes. These advancements have the potential to enhance the performance of LLMs on tasks such as text generation from Abstract Meaning Representations (AMRs) and to enable more effective applications of LLMs in areas such as recommender systems and privacy-preserving data generation. Noteworthy papers in this area include SAFT, which introduces a structure-aware fine-tuning approach for AMR-to-text generation, and GraDe, which proposes a graph-guided dependency learning method for tabular data generation with LLMs. Additionally, researchers are exploring the use of federated learning to improve the performance and privacy of LLMs in decentralized environments. Papers such as FedWCM and FedVLM have made significant contributions to this area. Furthermore, the importance of privacy-preserving techniques in LLMs is being increasingly recognized, with papers such as CompLeak, Tab-MIA, and LoRA-Leak highlighting the risks of membership inference attacks and proposing new methods for mitigating these risks. Notable papers include CompLeak, which evaluates the privacy risks introduced by model compression, and LoRA-Leak, which introduces a holistic evaluation framework for membership inference attacks against LoRA fine-tuned language models.