List all the bridges in each of the following graphs: a. the graph in Fig. 5-33 . b. the graph with vertex set { A , B , C , D , E } and edge list A B , A E , B C , C D , D E c. the graph with vertex set { A , B , C , D , E } and edge list A B , B C , B E , C D . Figure 5-33
List all the bridges in each of the following graphs: a. the graph in Fig. 5-33 . b. the graph with vertex set { A , B , C , D , E } and edge list A B , A E , B C , C D , D E c. the graph with vertex set { A , B , C , D , E } and edge list A B , B C , B E , C D . Figure 5-33
Solution Summary: The author explains that the graph with vertex set leftA,B,C,D,Eright has no bridge.
Q8D. 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, e}, {b, f}, {c, d}, {c, f}, {d, e}, {d, f}}
b
a
C
d
e
Which of the following are Hamiltonian cycles in the graph? (Select all that apply.)
2. a) Determine the sum of the in-degrees and out-degrees of each graph shown in Figure 1.
Show the relationship between them and the number of edges in the graph.
d
(a)
(b)
Figure 1
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?
Chapter 5 Solutions
Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package
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