The field of allocation and scheduling is moving towards developing more efficient and fair algorithms for various problems. Researchers are exploring new approaches to achieve better trade-offs between resource efficiency and fairness in networked systems, fair allocation of resources, and scheduling tasks. Notably, there is a growing interest in studying fairness notions such as maximin share fairness and envy-free allocations. Recent works have made significant progress in developing approximation algorithms for these problems, pushing the frontier on the maximin share fairness and achieving constant-factor approximations for weighted maximin share.

Some noteworthy papers in this area include: Fair Minimum Labeling, which introduces a new problem of designing a minimum-cost temporal edge activation plan that ensures each group of nodes in a network has sufficient access to a designated target set. Constant Weighted Maximin Share Approximations for Chores, which presents the first constant-factor approximate WMMS algorithm, advancing the state of the art in weighted fair division. A Fixed Point Framework for the Existence of EFX Allocations, which establishes a new approach to establishing the existence of EFX allocations through fixed point theorems and DC programming.