Q16. Consider the graph with the following vertices, edges, and weights (weights arestated as the third entry for each edge in E, with the first two entries representingthe vertices joined by the edge):V = {a, b, c, d, e, f}E = {{a, b, 9}, {a, c, 6}, {a, d, 1}, {a, f, 4}, {b, c, 2}, {b, f, 8}, {c, d, 3}, {c, f, 5}, {d, e, 4}, {d, f,8}}aYour Answer:3fWhat is the total weight of a minimum spanning tree of the graph?AnswerdCD

Answered: Image /qna-images/answer/e8ab7fe8-b42b-4b0d-8e09-192464cfcdd3.jpg

Answered: Q16. Consider the graph with the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Consider the following graph, which represents the one-way airfare between five cities. A B C D E A * $220 $240 $290 $430 B $220 * $260 $320 $360 C $240 $260 * $180 $300 D $290 $320 $180 * $250 E $430 $360 $300 $250 * Graph the following to represent the information in the table. Use vertices to represent the cities and weights on appropriate edges to show the airfares. Next, assume that you are a salesman who lives in one of the cities (pick any city except for A) and required to fly to all four of the other cities and return to your home city. Describe how you would use the Nearest Neighbor Method to determine the optimal route. What is the total cost for this Hamilton circuit?
. How many guards do you need for a gallery with 12 vertices? With 13 vertices? With 11?
1. Let a graph have vertices s,t,u,v,w,x and edge set {{s,u},{s,w},{t,w],{t,x},{w,x}}. How many connected components does the graph have? 2. Let a graph have vertices O,P,Q,R,S,T,U and edge set {{O,P},{O,R},{P,T},{P,U},{R,U},{S,U}}. How many components does the graph have?
6. Determine the number of edges and the sum of degrees of the vertices in the figure below. Verify that sum of degrees of vertices equals twice the number of edges.
. In question # 52, Name three bridges in the given graph.
If a planar graph has 18 vertices and 26 edges, how many regions are determined when you draw itwithout crsing dge.
Q10D. Consider the graph with the following vertices and edges: V = {a, b, c, d, e, f, g} E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, e}, {b, f}, {c, d}, {c, g}, {d, e}, {d, f}, {f, g}} Which of the following are examples of circuits within the graph? (Select all that apply.) Question 10 options: < e, d, f, g, c > < b, c, a, b > < a, b, c, g, f, d > < a, c, f, a > < b, f, d, a, b >
Which of the following is the edge set of the graph (G) below? B A E D E(G) = {A, B, C, D, E) E(G) = {AB, BC, CE, AC, AE, AD, BE, DE, CC} E(G) = {AB, BC, CE, AC, AE, AD, CD, BE, DE, CC) E(G) = {AB, BC, CE, AC, AE, AD, BE, DE} Referring to the graph (G) below, determine the degree of vertex C. B A6 E 2 5 D
How many edges does Cn have
Indicate if each of the two graphs are equal. Figure 1: Left: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. From the top left vertex, moving clockwise, the vertices are labeled: a, b, c, d, and e. Undirected edges, line segments, are between the following vertices: a and b; a and c; b and c; c and d; e and d; and e and c. Figure 2: Right: The adjacency list representation of a graph. The list shows all the vertices, a through e, in a column from top to bottom. The adjacent vertices for each vertex in the column are placed in a row to the right of the corresponding vertex’s cell in the column. An arrow points from each cell in the column to its corresponding row on the right. Data from the list, as follows: Vertex a is adjacent to vertices b and c. Vertex b is adjacent to vertices a and c. Vertex c is adjacent to vertices a, b, d, and e. Vertex d is adjacent to vertices c and e. Vertex e is adjacent to vertices c and d.
Q1D. Consider the following graph: a с f d e How many vertices are there in the graph? How many edges are there in the graph? A
Let a graph have vertices H, I, J, K, L, M and edge set TH,I}, {H, K},{I, J}, {I, L},{J, K}, {J, M}, {K, M}, {L, M}}. a. What is the degree of vertex H ? b. What is the degree of vertex J? c. How many components does the graph have?

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