Problem 8. Let G, be depicted in the following diagram 1 2 5 8(a) Give the formal description of G1 (i.e., for G1= (V1, E1), give the contents of Vị and E1). 8(b) What is the total degree of G1? 8(c) List the neighbors of vertex 2.

Q: Please help me with these question. I am having trouble understanding what to do. Thank you

A: 1) The incidence matrix is usually denoted by M.The rows are labelled by the vertices.The columns…

Q: 8. (a) Can you draw a graph with at least two vertices for which all the vertices have different…

A: consider the graph  A has valence 1 Vertex B has valence 2 Vertex C has Valence 3 Vertex D has…

Q: 12. Consider the algebraic expression E = (X + 3Y)*(a – 2b) draw a tree according to the equation!

A:

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: 9. Let G2 be depicted in the following diagram: b 9(a) What is the maximum length of a path in G2?…

A: Length of path: The number of edges in a path is called length of path. Length of cycle: The number…

Q: 5. m is shown by the graph at right. Find: a) the domain of m 6 5 b) the range of m 2 -10 -9 -8 -7…

A: Graph of function

Q: Please do the following questions with handwritten working out

A: Question (a): What is the minimum number of connections whose deletion would stop pop-its reaching…

Q: (b) Give an example of a disconnected simple graph on n vertices in which every vertex has degree…

A: We need to give an example of a disconnected simple graph on n vertices in which every vertex has…

Q: Question 4 Note that if (j, k) and (m, n) are pairs of integers then we can add them in a natural…

A: A vertex set is the set of all vertices of the graph. There are two points in the  vertex set which…

Q: 3) Let f(x,y) = 9x² + y² Statch the graph of fl

A: Sketch the graph of f(x,y)=9x2+y2

Q: 1. Graph ysx+1 12 A solution is:

A:

Q: The graph of wheel denoted by W, is obtained when an additional vertex is added to cycle Cn, for n >…

A: We need to match each statement (a) - (d) to and a graph (1)-(5) such that the chosen graph…

Q: can you please provide explanations

A: 1. Assumption: Start with the assumption that (G1​) and (G2​)are isomorphic graphs. 2. Definition of…

Q: 5 (i)

A: Answer for  sub question a: Given graph is, G=V,E,V=a,b,c,d,e, E=∅ 1) Note: A vertex with no…

Q: 2.29. Is this graph planar (the edges cross each other in the middle but there is no vertex there)?

A: Planar graph: When a connected graph can be drawn without any edges crossing it is called planar.…

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: Find all non-isomorphic graphs (undirected, and loop free) with 3 nodes.

A: Q3:- A isomorphic structure-preserving the mapping between the two structures of the same type which…

Q: 7. Decide which direction the graph of y = -x - 6 opens, its vertex point, and what its translation…

A:

Q: Please help me with this questions. I dont understand what I did wrong

A: We have to find whether the given pair of graphs are isomorphic or not Isomorphic graphs must have…

Q: In Exercises 3-5 determine whether the given graph is con- nected. 3. ³AV Λ 4. XXXX. 5.

A: 1. *Graph 3:* - Graph 3 is divided into two distinct parts. On the left, there's a triangle shape…