The field of algorithms is witnessing significant advancements in the development of efficient solutions for shortest paths and tree structures. Recent innovations have focused on improving the performance of parallel algorithms, enabling faster and more scalable computations. Notably, researchers have made substantial progress in designing parallel point-to-point shortest paths and batch queries, achieving remarkable speedups compared to existing solutions. Additionally, novel heuristic algorithms have been proposed for shortest path search, demonstrating impressive efficiency gains. Furthermore, the construction of tree structures in anonymous graphs via mobile agents has been explored, yielding improved time and memory efficiency. Overall, these developments are poised to have a profound impact on various applications, from network optimization to distributed computing. Noteworthy papers include: Incremental Shortest Paths in Almost Linear Time via a Modified Interior Point Method, which presents a deterministic algorithm for maintaining approximate shortest path distances in directed graphs undergoing edge insertions. A Heuristic Algorithm for Shortest Path Search, which introduces a novel shortest path search method allowing for efficient parallelization and achieving significant speedup compared to state-of-the-art implementations.