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 g What is the total weight of a minimum spanning tree of the graph?

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 g What is the total weight of a minimum spanning tree of the graph?

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter10: Inequalities

Section10.3: Solving Problems Involving Inequalities

Problem 6E

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Question

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?

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16. How many edges has each of the complete graph K50? A. 1235 B. 1245 C. 1225 D. 2450