Q15C. 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}} b a d e g Which of the following sets of edges represent subgraphs of the graph that are spanning trees? (Select all that apply.) |{{a, b}, {b, c}, {a, f}, {c, d}, {d, e}, {f, g}} {{a, c}, {a, f}, {b, c}, {c, d}, {c, g}, {d, e}} {{a, c}, {a, f}, {b, e}, {b, f}, {d, f}, {f, g}} |{{a, b}, {a, c}, {a, f}, {b, f}, {d, e}, {f, g}} {{a, b}, {a, c}, {a, d}}

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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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, 8}, {a, d, 1}, {a, f, 4}, {b, c, 7}, {b, f, 8}, {c, d, 3}, {c, f, 5}, {d, e, 7}, {d, f,
8}}
b
a
C
d
e
What is the total weight of a minimum spanning tree of the graph?
Transcribed Image Text: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, 8}, {a, d, 1}, {a, f, 4}, {b, c, 7}, {b, f, 8}, {c, d, 3}, {c, f, 5}, {d, e, 7}, {d, f, 8}} b a C d e What is the total weight of a minimum spanning tree of the graph?
Q15C. 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}}
b
a
d
e
g
Which of the following sets of edges represent subgraphs of the graph that are
spanning trees? (Select all that apply.)
|{{a, b}, {b, c}, {a, f}, {c, d}, {d, e}, {f, g}}
{{a, c}, {a, f}, {b, c}, {c, d}, {c, g}, {d, e}}
{{a, c}, {a, f}, {b, e}, {b, f}, {d, f}, {f, g}}
|{{a, b}, {a, c}, {a, f}, {b, f}, {d, e}, {f, g}}
{{a, b}, {a, c}, {a, d}}
Transcribed Image Text:Q15C. 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}} b a d e g Which of the following sets of edges represent subgraphs of the graph that are spanning trees? (Select all that apply.) |{{a, b}, {b, c}, {a, f}, {c, d}, {d, e}, {f, g}} {{a, c}, {a, f}, {b, c}, {c, d}, {c, g}, {d, e}} {{a, c}, {a, f}, {b, e}, {b, f}, {d, f}, {f, g}} |{{a, b}, {a, c}, {a, f}, {b, f}, {d, e}, {f, g}} {{a, b}, {a, c}, {a, d}}
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