A Study on Mode Graph Labeling

Abstract

Mode graph labeling is an essential concept in graph theory, focusing on labeling the vertices or edges of a graph to determine the most frequent label under specific constraints. This paper provides a comprehensive overview of mode graph labeling, and introduces key definitions and theorems. Theoretical frameworks and significant theorems are examined to provide a deeper understanding of their applications in graph theory. These insights pave the way for advancements in combinatorial optimization and network design.