In order to avoid cycles, we must prevent any vertex from being visited more than once in the simple path. To do that, we mark every vertex as visited when we enter it for the first time in the path. Hence, when we try to visit an already visited vertex, we’ll go back immediately...
A cycle of a graph is a path in which the first and the last vertices are equal. A minimum spanning tree (MST) of a graph G is a connected graph without cycles, which connects all vertices MST = (Esub, V) ⊆ (E, V) = G and the sum of all edge weights is minimal. With ...