Solution to Q.Which of the following can be a degree sequence of a simple graph? {4,4,3,2,1} {4,3,2,1} … - Sikademy
Author Image

Archangel Macsika

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)\begin{pmatrix} n-1\\ 2 \end{pmatrix}

Let graph has n vertices from which one node is disconnected, maximum number of edges between the remaining n−1 nodes can be \begin{pmatrix} n-1\\ 2 \end{pmatrix}

4)If there exist a cut-vertex in the graph, then a cut-edge must also exist.

 If a cut vertex existsthen the existence of any cut edge is not necessary.


Related Answers

Was this answer helpful?

Join our Community to stay in the know

Get updates for similar and other helpful Answers

Question ID: mtid-5-stid-8-sqid-3572-qpid-2271