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: prdinates of point k on the graph could only k

A: We can find and identify the coordinates of K as below

Q: Graph y = -x - 6. -9 -8 -7 -6 -5 -4 -3 -2 ca_of_b -++++ 6 Linne ନାମକ -G 1 2 3 4 5 6 7 8 9 7

A: The given function is y=-x-6 We have to sketch the graph of the function.

Q: Use the formula deg(v) = 2|E(G)| to find the number of edges of the following VEV (G) graphs.…

A: Since you have asked multiple questions, we will solve the Question Q1 (c) for you. If you want any…

Q: Show that For n > 1 let G, be the simple graph with vertex set V(Gn) = {1,2,., n} in which two…

A: A simple connected graph G is said to be planar if we can draw the graph in the plane with no two…

Q: 1. Showing the details of your work, find the Fourier series of 1 if 1 x2 f(x) : u£>x > u- 3 - 1 if…

A: Given that: fx= x2         if -12π<x<12π14π2     if 12π<x<32π

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: What will vertex C' be if this figure is translated 8 units to the right and 6 units down? ) (1,3) )…

A: Solution: we have  C = (-5,5)

Q: consider ihe foriowing polýnomiai functions 2 f(x) =-2x"+8 .hx): 3x(x3ー4) 4 please graph BötH

A:

Q: 1.5⁹ Explain why the two graphs in Fig. 1.23 are not isomorphic. Figure 1.23

A:

Q: 7. Answer the following questions for the two graphs below. 13 I8 Figur 2: G2 Figur 1: G1 (a) State…

A:

Q: 2n 4. Prove or disprove: for every n-vertex graph G, x(G) ≤ 2w(G) + a (G) (6 + 10.

A: There is n -vertex graph G. For the n vertex graph G, it has to be proven that χ(G) ≤2ω(G) + 2n/α(G)…

Q: What is the equation of the line parallel to LM passing through N. b) Show that line in (a) passing…

A:

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: The complete bipartite graph K_(n,m) has chromatic number two..* false O True

A: Remark: The chromatic number of a graph G is the smallest number of colors needed to color the…

Q: 4. Sketch the graph and identify the location of the vertices and the foci of (x-3)² = 8(y+1)² +1

A:

Q: In Problem ,draw a complete graph so that it has the type of symmetry indicated.

A: Given,

Q: the anea af Hhe iangle withe the vertices Alogogo), B=(211) C= (2っ33) %3D

A:

Q: 3. Consider the following graph: (a) Decompose the graph into no more than 4 edge-disjoint cycles…

A:

Q: 13. Find al values of r+1 NO tlat tlhe graLplh of G( - 1 1)r 14(7 a cireler, (b) ( 1)r (r 1)" 60 57r…

A:

Q: 2) Graph a) y = x2 + 4x + 1 o b) y = x2 – 4x + 1

A: Let's find.

Q: 3) Put x2 + 6x - y = 8 in st:

A:

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

A:

Q: Determine whether the infinite geometric series converges or diverges. If it converges, find its…

A: Given ∑k=1∞134k-1 = 13∑k=1∞4k-1 Hence it is a geometric series , with common ratio = 4

Q: 9. Suppose two graphs G and H have the same vertex set V. (a) Provide an example where deg, (v) =…

A:

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: How many 4-cycles is the vertex 000 involved in the hypercube Q3?

A: The graph Q3 is the 1-skeleton of a cube and is a planar graph with eight vertices and twelve edges

Q: 5. What happens to the graph of y = ax² + bx + c when: (note that parts A-E involve more than one…

A:

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: 2. i)Match any/all the graphs with the value of the discriminant b2 - 4ac =0 i) b2 - 4ac> 0 iii) b?…

A: We will find out the required value.

Q: 1) The vertices of AHEN are H(0, 4), E(6, 4), and N(4, -2). AH'E'N' is the image of AHEN after Dox.…

A: If we are dilating a point (x,y) about the origin by a scale factor (dilation factor) of k, then the…

Q: Which of the following is graph of 25 1? 16

A: To find the graph of x225 - y216 = 1.

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…

Q: 2. List down all the possible paths from vertex 'a' to vertex 'h'. Arrange your answer from the…

A:

Q: Find equation of graphs given below

A:

Q: Find the orthogonal projection of v onto the subspace W spanned by the vectors u. (You may assume…

A: To find the orthogonal projection of v onto W: