Vizing's Theorem is a concept in graph theory that deals with the coloring of edges in a graph. It states that for any simple graph, the edges can be colored using at most one more color than the maximum degree of the graph. This means that if the highest number of edges connected to a single vertex is Δ, then the edges can be colored with at most Δ + 1 colors without any two adjacent edges sharing the same color. The theorem is significant because it helps in understanding how to efficiently organize and manage connections in networks. It has applications in various fields, including computer science, telecommunications, and transportation, where optimal resource allocation is crucial.