Bidirectional elimination is a method used in logic and mathematics to simplify expressions or solve equations. It involves eliminating variables or terms from both sides of an equation simultaneously, allowing for a clearer understanding of the relationships between the components involved. This technique is particularly useful in systems of equations where multiple variables need to be addressed. In the context of graph theory, bidirectional elimination can help in finding solutions to problems involving networks or graphs. By systematically removing nodes or edges from both directions, one can analyze the structure and properties of the graph more effectively, leading to insights about connectivity and flow.