Sketching graphs Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the following conditions.
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- Draw the graph based on its representation. (a) V = {a, b, c, d} E = {{a, b}, {a, d}, {b, c}, {b, d}, {c, d}} (b) a bd b a c le C b|d d. a o e b |d (c) 0 1 1 0 0 10 0 0 1 10 0 1 1 0 0 10 1 0 1 110arrow_forwardconstruct 2 graph: such that к(G) = k'(G) = 8(G).arrow_forwardA graph G = <V, E> is given where V = {A, B, C, D, E, F, G, H, I}, and E = {(A, B, 50), (A, C, 30), (B, E, 100), (B, D, 30), (C, I, 100), (D,E, 150), (D, H, 40), (E, F, 40), (F, G, 200) , (G, I, 80)} Given the nodes represent the cities and weights the distances, solve the traveling salesman problem starting with city C using the nearest neighbor algorithm.arrow_forward
- The multiple connected zones of Hamilton are shown in a planar map, in the following Fig.1. Drawthe planar graph for the following map (in Fig. 1) of multiple connected zones. Find out the minimum numberof frequencies needs to be used using graph theory, so that different zones of the following planar map areassigned with different frequencies (i.e., each zone operates at one single frequency) in such a way that noadjacent zones (i.e., zones with common borders) use the same frequency? The frequencies available for useare 10 GHz, 20 GHz, 40 GHz, 60 GHz, 80 GHz, 100 GHz, 120 GHz, and 140 Hz. Show your detailed work. Fig. 1: Spectrum division of Hamiltonarrow_forward2. Use the following description of an undirected graph and draw the graph: v(Graph1) = { A, B, C, D} E(Graph1) = { (A,B), (A,D), (B,C), (B,D) }arrow_forwardProblem 1. For each of the following graphs G = (V, E), a. V = {a, b, c, d, e}, E = {[a, b], [a, c], [a, d], [a, e]}. b. V = {a, b, c, d, e), E = {[a, b], [b, c], [c, d], [d, a]}, c. V = {a, b, c, d, e, f}, E = {[a, b], [(b, c], [c, a], [d, e], [e, fl}, d. V = (a, b, c, d, e, f), E = {[a, b], [b, c], [c, a], [d, e], [e, f], [f, a]}, e. V = {a,b,c}, E = {}. (i) sketch the graph, (ii) give an explicit expression for each connected component, and (iii) say whether the graph is a tree or a forest. metric spaces (X, d),arrow_forward
- 3) The graph k-coloring problem is stated as follows: Given an undirected graph G= (V,E) with N vertices and M edges and an integer k. Assign to each vertex v in V a color c(v) such that 1arrow_forwardfind the graph G such that : 1) K (G) = K'(G) < 8(G). 2) K (G) = K'(G) = 8(G). 3) K(G)arrow_forward3) The graph k-coloring problem is stated as follows: Given an undirected graph G = (V,E) with N vertices and M edges and an integer k. Assign to each vertex v in Va color c(v) such that 1< c(v)arrow_forwardMatlab Write a program to plot the relation of the following functions y1=sin(x),y2=sin(4x),y3=cos(6x),y4=sin(5x)cos(3x) ,that shows these graphs with interval [0,4π],and increasing π /50 for each step .arrow_forwardA wave is modeled by the wave function: y (x, t) = A sin [ 2π/0.1 m (x - 12 m/s*t)] y1 (t) = A sin (2πf1t) y2 (t) = A sin (2πf2t) Using any computer program, construct the wave dependency graph resultant y (t) from time t in the case when the frequencies of the two sound waves are many next to each other if the values are given: A = 1 m, f1 = 1000 Hz and f2 = 1050 Hz. Comment on the results from the graph and determine the value of the time when the waves are with the same phase and assemble constructively and the time when they are with phase of opposite and interfere destructively. Doing the corresponding numerical simulations show what happens with the increase of the difference between the frequencies of the two waves and vice versa.arrow_forwardCreate an R function pwfun(), which computes values of the piece-wise (mathematical) function pwfun defined in the following way: x < -1 Its graph is as follows. e pwfun(c(-2, 0.5, 3)) 208 pwfun(x) = - x = c(-3, -2, -1, 0, 1, 2, 3.2) pwfun(x) 4 2 0 0 0 39.24 -2x-2 0 x²-1 18 Your R function pwfun() should also accept x as a vector of arbitrary length and return vector of the same length with entries defined as values of the mathematical function pwfun, evaluated at the corresponding entries of vector x. Here are some input vectors and what you should get as a corresponding output. pufun(-1) .-1≤x≤1 1arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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