How Many Edges Does A Minimum Spanning Tree For G Have? As a minimum spanning tree is also a spanning tree, these properties will also be true for a minimum spanning tree. vertices, and each of the spanning trees contains four edges. A spanning tree doesn’t contain any loops or cycles. contain any loops or
Which Traversal Methods Can Be Used To Determine If A Graph Is Connected? We can use a traversal algorithm, either depth-first or breadth-first, to find the connected components of an undirected graph. If we do a traversal starting from a vertex v, then we will visit all the vertices that can be reached from v.
Can A Minimum Spanning Tree Contain A Cycle? A spanning tree can never contain a cycle. Spanning tree is always minimally connected i.e. if we remove one edge from the spanning tree, it will become disconnected. A spanning tree is maximally acyclic i.e. if we add one edge to the spanning tree, it will create