Is it possible to have a connected graph with six (6) vertices of degrees 1, 1, 2, 2, 2, and 3? If possible, why possible explain. If NOT possib

Q: Liiven the Express Graph rectangles fx) and

A: ∫02(6-x2) dxReimann sum islimn->∞∑i=1n△x·f(a+i△x)△x=b-an=2-0n=2n   We know that f(x)=6-x^2…

Q: can you please provide explanations

A: Possible: Graph with 5: 3 vertices of degree 2 and 2 vertices of degree 1. Impossible: Graph with 5:…

Q: this graph connected? O Connected ONot Connected

A: Note that the graph is said to be connected if the pair of any two vertices is connected by a path.

Q: 0 D The diagram below shows a directed graph. Answer the following 5 questions based on this…

A: In the given digraph, there are two incoming edges to the vertex d and those are c→d, c→f and c→g.…

Q: Question 1. Let G be a graph with at least 2 vertices. Prove or disprove: a) Deleting a vertex of…

A: Given that G be a graph with at least 2 vertices. We need to prove or disprove following…

Q: Define a pseudo graph?

A:

Q: Quèstion 16 If a Graph has 10 vertices each of degree 5, then the number of edges in the graph…

A:

Q: Can a graph with nine vertices and nine edges exist? Explain wy no such graph exists or draw the…

A: To verify whether a graph with 9 vertices  & 9 edges exist or not.

Q: Could there be a graph with four vertices of degree 1,2,5 and 4? Explain why no such graph exists or…

A: To verify whether a graph with 4 vertices of degree 1,2,5 and 4 exist or not.

Q: Consider the graph with 6 vertices of degree 2, 4, 1,1, 6,3, 5. Does the graph exist? Graph does not…

A: NOTE: As given degree of 7 vertices , so we consider number of vertices as 7 ( otherwise question is…

Q: Which statement is FALSE? ) The sum of odd degrees always equals the sum of even degrees ) The sum…

A: ANSWER :

Q: We say that two distinct edges in a graph are adjacent if there is a vertex incident to both (the…

A: Solution

Q: The Euler's formula v - e + f = 2 holds for all connected planar graphs. What if the graph is not…

A: The formula for multiple connected component c is, v +f = e + c + 1

Q: (10) A graph is connected if, and only if, (Choose one answer from below) A) It consists of a few…

A: A connected graph is graph that is connected in the sense of a topological space, i.e., there is a…

Q: Can a simple graph exist with 9 vertices all of degree 5?

A: Handshaking lemma: In any graph, sum of degree of all the vertices is twice the number of edges…