Answer the following questions for the two graphs below. I4 13 Figur 1: G1 Figur 2: G2 (a) State the order and size of each graph. (b) Are the two graphs isomorphic? If yes, define the isomorphism and verify that each edge is preserved. If no, explain why. (c) What is the deg(r1) and deg(t)?

Q: 4. (a) Calculate the chromatic number of a graph whose chromatic polynomial is t(t-1)(t - 2)².

A: A naive way to find the chromatic number of a graph from its chromatic polynomial P(n) is        –…

Q: (a) Is graph 1 (blue) isomorphic to graph 2 (orange)? If so, exhibit an isomorphism. If not, justify…

A: As per given by the question, there are three graph which is shown in below, Determine the Is…

Q: * 00 IN エ 4- B F. Question 3 of 15, Step 1 of 1 Correct 3. Indicate which of the following four…

A: The graph will pass through (3,0) because at x=3, p(x) is coming out to be zero

Q: 3. Sketch a properly labelled graph of y=-3sin| 2| 0+ |+1, -2л<0< 2л. -27

A: Given the function y=−3sin[2(θ+π2)]+1

Q: Show that the two graphs below are isomorphism graphs GL: G2 : A B P D R S

A:

Q: . Sketch the graph of y = m(x) in Figure 2. FIGURE 2. Graph of y = m(x) r- 3, rS-1 m(x) = 1< x < 5 2

A:

Q: 6. State the transformations that have been applied to the base graph y = x² to produce the graph of…

A: The given problem is to find the transformations applied on the graph y=x2 to transformed into…

Q: Show that the following two graphs are isomorphic 2. 3 10 1. 9. •5 a. f g,

A:

Q: When two graphs G and H are isomorphic, this means: there exists a bijection between the vertices of…

A:

Q: Let G be a connected cubic graph of order n > 4 having clique number 3. Determine x(G).

A: Given- G be a connected cubic graph of order n&gt;4 having clique number 3. To Find- The value of χG…

Q: Diberikan dua graf berikut. Yang manakah yang tidak benar? Given two graphs as follows. Which one is…

A: Given two graphs,

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

A:

Q: Describe a graph isomorphism between the two graphs below: B C b. B F d. Figure 4: Graph H Figure 3:…

A:

Q: 5. Reconstruct the graph I from its subgraphs : F; =r-v;, where T3 = K13 T= Is= K13+e; T:. P,UK,

A:

Q: -5 - y=5 ya y=x² X

A:

Q: 2. Draw a picture of the graph G specified as follows: Vertex set = {V1, V2, V3, V4, V5} Edge set =…

A:

Q: Sketch the graph in 2D and 3D of the following : 1. X^2 + z^2 = 1 2. X^2 + z^2 = 4

A: 1. Given: Put x=1 and x=-1 in the given expression. Put x=-1 in the given expression. Put z=1 in…

Q: Sketch the algerbraic graph for d(x)=(x-2)2+3

A:

Q: The shaded region between the graphs of y = orange. | -6 Ax- 25 2x² + 20 and y = 3x - 15 is…

A:

Q: Q. Show that the following two graphs are isomorphic 2. 3 10 1. 9 •5 L. a •b e d

A: Two graphs G1 and G2 are isomorphic if there exists a match- ing between their vertices so that two…

Q: 1 a) If a graph has an HA (Horizontal asymtope) at y=0, does this mean it will always have no…

A: a) Horizontal asymptotes are the lines parallel to the x-axis to which the graph of the function…

Q: 3.1.4. (-) For each of a, a', ß, B', characterize the simple graphs for which the value of the…

A:

Q: b) How is the graph of related to the graph of y-la- 21 from the point of view of transformations?…

A:

Q: 1 2 e 4 5 6 8h 7 Tell whether the following graphs are isomorphic? If yes, give the 1-1 mapping.

A: Given: Graphs.

Q: 1) use the graph of r3D|x| to sketch the graph the following a. y= |x – 4|

A: Giveny=x Here for all values of x the output for y values will be positive and the plot of y=x is…

Q: Consider the following three graphs. Select one: o a. they are not isomorphic to each other. O b.Y…

A: 1. A graph G is an ordered pair VG,EG consisting of a non-empty set VG of vertices and a set EG of…

Q: 1. Consider the following graph: e6 U5 e3 U3 (a) Write the vertex set and the edge set, and give a…

A: The given graph :

Q: USG hG FOlloing graph of P'(X) tO UGS GriDG thG benavior of fCX). Srate where P() ld inGrcasiNg…

A:

Q: Prove that the graphs in the figure below are isomorphic: (2 6. a

A:

Q: Find the invers e Fenction of nd graph (メノ)

A:

Q: 16 10 14 23 21 12 19 20 17 15 13 (c) graph. If no, try to use Euler's Formula and some estimate to…

A: To check if the given graph is planar. If yes, to find the number of regions of the planar graph. If…

Q: Sketch the graph of r = 6/ (3 + 3 cose).

A:

Q: let p =(x,y) be a point on a graph of y=x2-5 using a graphing utility to graph d=d(x) in order to…

A:

Q: True/False: If the graphs G1 and G2 are isomorphic, and G, is connected, then G2 must be connected…

A: If G1 and G2 are isomorphic , and G1 is connected

Q: Prove that the two graphs below are isomorphic. (c) Figure 4: Two undirected graphs. Each graph has…

A:

Q: dpparent timita f of 91-l00 3. 0-06 50 47 1.0 81-90 71-80 61- 70 51- Go 41-50 31-40 0:19 0.94 0 82…

A: For the given data, the most appropriate graph for the frequency is a Histogram. We can construct a…

Q: 2. Consider two isomorphic graphs G and H. (a) Make a conjecture regarding the relationship of the…

A: (a) Let G and H be two isomorphic graphs. To make a conjecture regarding the relationship of the…

Q: What steps transform the graph y = x² to y = (x – 4)? + 1? Reflected across x- Reflected across x-…

A:

Q: 6. (In this problem, y denotes the domination umber of a graph.) Let G be a graph such that (G) > 3.…

A: Let G be a graph. Such that γ(G)≥3. Prove that diam(G)≤2.

Q: d. e

A: A graph is said to be strongly connected if we can find a path from each vertex to every other…

Q: Q.No.5: Show that the following two graphs are isomorphic 2. 10 1. 9 •5 6. a. •b ° •C di

A: Given: G1: Vertex={1,2,3,4,5,6,7,8,9,10} G2: Vertex={a,b,c,d,e,f,g,h,i,j}

Q: 17) Use shifting graph to sketch a) y = |3x³ – 2|+1 b) y = -1+ 5sin (2x)

A: We are authorised to solve only one question, please repost remaining questions  Graphical…

Q: Let /a) - V1 -, 0s1. (a) Find '. How is it rolated to 7 (b) Identify the graph of /and explain your…

A: Given, fx = 1-x2    where   0≤x≤1 We have to solve for part (a) and (b)

Q: 2. For each part, determine whether the two graphs are isomorphic. If so, give an isomorphism. If…

A:

Q: Q29) Use shifting graph to sketch a) y = |(x – 2)2 - 1|+1 b) y = 2 – 5sin (3x)

A:

Q: Q1) Use shifting graph to sketch a) y = 1- |V2 – x| b) y = -1+ 5sin (2x)

A:

Q: 1. Find the necessary translations and reflection(s) needed to transform the graph of y = x? into…

A: topic- transformation of function

Q: 20. Graph the following and find the information. (x - 2)2 (y + 1)2² = 1 22 62 -10 -7 -2 -1 10 -2…

A: Then given equation is of a HyperbolaWe know the standard from of hyperbola i.e. (x-h)2a2-…

Q: Q1) Use shifting graph to sketch a) y = 1-|V2 – x| b) y = -1 + 5sin (2x)

A:

Q: -17-16-15 -14 -13 -12 -11 -10 -9 -8 +5 Submit Question -5-4-3 12 Find an equation for the graph…

A: