Research & Reviews: Discrete Mathematical Structures

Multi-state infrastructures such as communication backbones, microgrids, warehouse routing systems, and sensor-actuator pipelines evolve through discrete event sequences rather than through a single binary "working/failed" transition.

Cloud computing, which provides remote clients with on-demand services, has emerged as a crucial component of contemporary technology.

This manuscript develops a discrete mathematical framework for resilience analysis on networks whose interactions are polyadic, uncertain, and partially conflicting.

A semiring-based theory is proposed for multi-state communication reliability with fuzzy dominance constraints.

The increasing frequency of infectious disease outbreaks has emphasized the necessity for intelligent epidemic surveillance systems capable of predicting disease spread at an early stage.

The main idea behind image compression is to reduce the bandwidth for transmission and required space for storage. Thus, image compression is of great importance.