The moon has different phases that it passes through, just like we have different phases in our lifetimes.
The stages of the Moon, are referred to as the 'Phases of the Moon'.
Where are the four phases of motosis
The sun does not have phases. It creates phases on objects between the earth and the sun. Objects beyond earth's orbit do not have phases.
The moon phases are called "phases" because they refer to the different shapes or appearances of the Moon as seen from Earth at different points in its orbit. These phases are a result of the changing relative positions of the Sun, Earth, and Moon.
A spanning tree is a tree associated with a network. All the nodes of the graph appear on the tree once. A minimum spanning tree is a spanning tree organized so that the total edge weight between nodes is minimized.
yes, but a shortest path tree, not a minimum spanning tree
STP (Spanning Tree Protocol) is still referred to as STP. However, there are newer variations of STP such as Rapid Spanning Tree Protocol (RSTP) and Multiple Spanning Tree Protocol (MSTP).
The port will rapidly transition to forwarding.
A spanning tree protocol, or STP, is characteristic to a LAN. It provides a loop-free topology for networks within the system.
A tree is a connected graph in which only 1 path exist between any two vertices of the graph i.e. if the graph has no cycles. A spanning tree of a connected graph G is a tree which includes all the vertices of the graph G.There can be more than one spanning tree for a connected graph G.
To find a spanning tree in a given graph, you can use algorithms like Prim's or Kruskal's. These algorithms help identify the minimum weight edges that connect all the vertices in the graph without forming any cycles. The resulting tree will be a spanning tree of the original graph.
Minimum spanning trees can be found using algorithms like Prim's algorithm or Kruskal's algorithm. These algorithms work by starting with an empty spanning tree and iteratively adding edges with the smallest weights until all vertices are connected. The resulting tree will have the minimum total weight possible.
Minimum cost spanning tree is used for Network designing.(like telephone, electrical, hydraulic, TV cable, computer, road)
No, not every possible minimal spanning tree of a given graph has an identical number of edges.
Proving this is simple. First, you prove that G has a spanning tree, it is connected, which is pretty obvious - a spanning tree itself is already a connected graph on the vertex set V(G), thus G which contains it as a spanning sub graph is obviously also connected. Second, you prove that if G is connected, it has a spanning tree. If G is a tree itself, then it must "contain" a spanning tree. If G is connected and not a tree, then it must have at least one cycle. I don't know if you know this or not, but there is a theorem stating that an edge is a cut-edge if and only if it is on no cycle (a cut-edge is an edge such that if you take it out, the graph becomes disconnected). Thus, you can just keep taking out edges from cycles in G until all that is left are cut-gees. Since you did not take out any cut-edges, the graph is still connected; since all that is left are cut-edges, there are no cycles. A connected graph with no cycles is a tree. Thus, G contains a spanning tree. Therefore, a graph G is connected if and only if it has a spanning tree!
Proving this is simple. First, you prove that G has a spanning tree, it is connected, which is pretty obvious - a spanning tree itself is already a connected graph on the vertex set V(G), thus G which contains it as a spanning sub graph is obviously also connected. Second, you prove that if G is connected, it has a spanning tree. If G is a tree itself, then it must "contain" a spanning tree. If G is connected and not a tree, then it must have at least one cycle. I don't know if you know this or not, but there is a theorem stating that an edge is a cut-edge if and only if it is on no cycle (a cut-edge is an edge such that if you take it out, the graph becomes disconnected). Thus, you can just keep taking out edges from cycles in G until all that is left are cut-gees. Since you did not take out any cut-edges, the graph is still connected; since all that is left are cut-edges, there are no cycles. A connected graph with no cycles is a tree. Thus, G contains a spanning tree. Therefore, a graph G is connected if and only if it has a spanning tree!