👉 In mathematics, a prominent element of a graph is an element that is visible from every vertex. This means that every vertex can be reached from the corresponding element by at least two edges. An example of a prominent element in a graph would be the vertex with degree 3 (also known as the root). If we consider all vertices as connected to this vertex, then any other vertex must have an odd number of neighbors. Since there are three vertices with degree 3 and no others, the vertex
