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For parts (a) and (b), indicate if cach of the two graphs are equal. Justify your answer. bc b a a bd e d e (a) Figure 1: Left: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. From the top left vertez, 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 e; b and c; e and d; e and d; and e and c. Figure 2: Right: The adjacency list representation of a graph. The list shous all the vertices, a through e, in a column from top to bottom. The adjacent vertices for cach vertez in the column are placed in a row to the right of the corresponding vertez's cell in the column. An arrow points from cach cell in the column to its corresponding row on the right. Data from the list, as follows: Vertez a is adjacent to vertices b and c. Vertez b is adjacent to vertices a and c. Vertez e is adjacent to vertices a, b, d, and e. Vertez d is adjacent to vertices e and e. Verter e is adjacent to vertices e and d. P.

For parts (a) and (b), indicate if cach of the two graphs are equal. Justify your answer. bc b a a bd e d e (a) Figure 1: Left: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. From the top left vertez, 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 e; b and c; e and d; e and d; and e and c. Figure 2: Right: The adjacency list representation of a graph. The list shous all the vertices, a through e, in a column from top to bottom. The adjacent vertices for cach vertez in the column are placed in a row to the right of the corresponding vertez's cell in the column. An arrow points from cach cell in the column to its corresponding row on the right. Data from the list, as follows: Vertez a is adjacent to vertices b and c. Vertez b is adjacent to vertices a and c. Vertez e is adjacent to vertices a, b, d, and e. Vertez d is adjacent to vertices e and e. Verter e is adjacent to vertices e and d. P.

Advanced Engineering Mathematics
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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Problem a and b

For parts (a) and (b), indicate if cach of the two graphs are equal. Justify your answer. b b a c abde d (a) Figure 1: Left: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. From the top left verter, 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 e; b and c; e and d; e and d; and e and c. Figure 2: Right: The adjacency list representation of a graph. The list shous all the vertices, a through e, in a column from top to bottom. The adjacent vertices for each vertez in the column are placed in a row to the right of the corresponding vertez's cell in the column. An arrow points from cach cell in the column to its corresponding row on the right. Data from the list, as follows: Vertez a is adjacent to vertices b and c. Verter b is adjacent to vertices a and c. Vertez e is adjacent to vertices a, b, d, and e. Vertez d is adjacent to vertices e and e. Vertez e is adjacent to vertices e and d.
Transcribed Image Text:For parts (a) and (b), indicate if cach of the two graphs are equal. Justify your answer. b b a c abde d (a) Figure 1: Left: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. From the top left verter, 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 e; b and c; e and d; e and d; and e and c. Figure 2: Right: The adjacency list representation of a graph. The list shous all the vertices, a through e, in a column from top to bottom. The adjacent vertices for each vertez in the column are placed in a row to the right of the corresponding vertez's cell in the column. An arrow points from cach cell in the column to its corresponding row on the right. Data from the list, as follows: Vertez a is adjacent to vertices b and c. Verter b is adjacent to vertices a and c. Vertez e is adjacent to vertices a, b, d, and e. Vertez d is adjacent to vertices e and e. Vertez e is adjacent to vertices e and d.
0 0 1 10 0 0 0 0 1 1 0 0 10 10 10 1 0 10 1 0 (b) Figure 3: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. Moving clockwise from the top left verter a, the other vertices are, b, c, d, and e. Undirected edges, line segments, are between the following vertices: a and c; a and d; d and e; and e and b.
Transcribed Image Text:0 0 1 10 0 0 0 0 1 1 0 0 10 10 10 1 0 10 1 0 (b) Figure 3: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. Moving clockwise from the top left verter a, the other vertices are, b, c, d, and e. Undirected edges, line segments, are between the following vertices: a and c; a and d; d and e; and e and b.
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