Q7A. Consider the graph with the following vertices and edges:V = {a, b, c, d, e, f}E = {{a, b}, {a, c}, {a, d}, {a, f}, {b, c}, {b, f}, {c, d}, {c, f}, {d, e}, {d, f}}baCfd< e, d, f, a, c, b >< e, d, f, a, d, c, a, b, f, c, b >< e, d, f, a, d, c, a, d, f, c, b >< b, a, f, c, d, e >eWhich of the following are Euler trails in the graph? (Select all that apply.)

Answered: Image /qna-images/answer/235b7eb0-3c4a-4942-9b2e-a32c3a77d1cd.jpg

Answered: Q7A. 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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Let a graph have vertices O, P, Q, R, S, T, U, V and edge set{ { O,P} , {O,Q} , {O,S} {O,T} {Q,R} {Q,T} {Q,V} {R,S} {R,V} {T,U} }a. What is the degree of vertex ?b. What is the degree of vertex ?c. How many components does the graph have?
G2. Draw a graph with the set of vertices V = {a, b, c, d} and the set of edges E= {{b, c), {c, d), (a, d}}. Find the degree of vertex a.
2. Draw a graph with the following vertex and edge sets: (a) V = {a,b, c, d, e, f} and E = {ac, ad, ba, eƒ, dc, de} %3D (b) V = {a, 8, 7, 4} and E = {ad, &y, yø, pa, p8, ya} %3D
30. These points are the vertices of a triangle: (-4,3), (2, 2) and (3,-2). Graph these points and label them on the grid below. Reflect this triangle in the y-axis and label the results A', B' and C'. Finally, reflect the three new points over the x-axis and label these 3 new points A", B", and C". Give the coordinates of these points in the blanks below. -7 A' = A" = -6 -5 -4 B' = B": || -3 -2 -1 C' = C" = 4 3 2 1- 0 -1 -2- -3 + -5 1 2 3 4 10 5 6 7
Q17. Consider the graph with the following vertices, edges, and weights (weights are stated as the third entry for each edge in E, with the first two entries representing the vertices joined by the edge): V = {a, b, c, d, e, f, g} E = {{a, b, 10}, {a, c, 12}, {a, d, 15}, {a, f, 3}, {b, c, 11}, {b, e, 9}, {b, f, 7}, {c, d, 11}, {c, g, 15}, {d, e, 12}, {d, f, 10}, {f, g, 16}} b a Your Answer: d Answer CD e What is the total weight of a minimum spanning tree of the graph? g
Consider the following graph; S Which of the following graphs are subgraphs of the graph above? □A. P5 B. K1,4 C. K6 ☐D. P₂2 □E. C₁ F. K3,3 G. K5 O
Q17. Consider the graph with the following vertices, edges, and weights (weights are stated as the third entry for each edge in E, with the first two entries representing the vertices joined by the edge): V = {a, b, c, d, e, f, g} E = {{a, b, 10}, {a, c, 12}, {a, d, 15}, {a, f, 5}, {b, c, 11}, {b, e, 9}, {b, f, 2}, {c, d, 11}, {c, g, 12}, {d, e, 12}, {d, f, 10}, {f, g, 16}} b a d e CD What is the total weight of a minimum spanning tree of the graph?
Identify: (x and y indicated in the problem are the x and y in the graph) a. vertices incident to x b. vertices adjacent to dc. edges incident to ad. edges adjacent to y
Q16. Consider the graph with the following vertices, edges, and weights (weights are stated as the third entry for each edge in E, with the first two entries representing the 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}} a Your Answer: 3 f What is the total weight of a minimum spanning tree of the graph? Answer d CD
Subject-advance maths
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?
Graph the following

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