Q.Which of the following can be a degree sequence of a simple graph? {4,4,3,2,1} {4,3,2,1} {4,4,3,2} {4,2,2,2,2} Q.If G is a connected simple graph and e,f and g are edges of G, then which of the following is/are true: There is always a spanning tree of G that contains e There is always a spanning tree of G that contains e and f There is always a spanning tree of G that contains e,f and g All of the above. Q.If G is a simple, disconnected graph on n vertices, how many maximum edges can it have? n−2 (n2) (n−12) (n−12)+1 Q.Which of the following statements is NOT true? The maximum number of cut vertices in any simple, connected graph on n vertices is n−2 If there exist a cut-edge in the graph, then a cut-vertex must also exist. If there exist a cut-vertex in the graph, then a cut-edge must also exist. The maximum number of cut-edges in any simple graph on n vertices is n−1.
The Answer to the Question
is below this banner.
Can't find a solution anywhere?
NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?
Get the Answers Now!You will get a detailed answer to your question or assignment in the shortest time possible.
Here's the Solution to this Question
1) {4,3,2,1}
The degree sequence of a simple graph is the sequence of the degrees of the nodes in the graph in decreasing order.
2)There is always a spanning tree of G that contains e,f and g
A tree is said to be a spanning tree of a connected graph G, if T is a subgraph of G and T contains all vertices of G.
3)
Let graph has n vertices from which one node is disconnected, maximum number of edges between the remaining n−1 nodes can be
4)If there exist a cut-vertex in the graph, then a cut-edge must also exist.
If a cut vertex exists, then the existence of any cut edge is not necessary.