ifthenlause
The if-then law is a fundamental principle in logic and decision-making, primarily attributed to Mary Ellen Rudin and her brother, William T. Tutte, in the 1970s. It states that in a_connected_simple_graph_G and a subset_G_of Vertices a_vertex_v the removal of which disconnects the graph, any edge belonging to _\(E= Edge(v_1)_._W_A more compact and generally accepted formulation of the if-then law by Tutte 1970 is as follows: Let G be a graph and S be a subset of the vertices of G such that E(G-S)= ∅, then either
1) Some componentC of G-s is an edge,
2) or some component C of G-s is a bridge.
The if-then law is a key concept in graph theory and has implications in various fields, including