Dodson's Theorem is a result in the field of graph theory that deals with the properties of graphs and their subgraphs. It provides conditions under which a certain type of subgraph can be found within a larger graph, specifically focusing on the relationship between the number of edges and vertices. The theorem is particularly useful in understanding the structure of random graphs and has applications in various areas, including network theory and combinatorics. By establishing these relationships, Dodson's Theorem helps researchers analyze complex systems and predict their behavior based on their underlying graph structure.