Figure 1: Left: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. From the top left vertex, 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 c; b and c; c and d; e and d; and e and c. Figure 2: Right: The adjacency list representation of a graph. The list shows all the vertices, a through e, in a column from top to bottom. The adjacent vertices for each vertex in the column are placed in a row to the right of the corresponding verters cell in the column. An arrow points from each cell in the column to its corresponding row on the right. Data from the list, as follows: Verter a is adjacent to vertices b and c. Verter b is adjacent to vertices a and c. Verter c is adjacent to vertices a, b, d, and e. Verter d is adjacent to vertices c and e. Vertex e is adjacent to vertices c and d.
Figure 1: Left: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. From the top left vertex, 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 c; b and c; c and d; e and d; and e and c. Figure 2: Right: The adjacency list representation of a graph. The list shows all the vertices, a through e, in a column from top to bottom. The adjacent vertices for each vertex in the column are placed in a row to the right of the corresponding verters cell in the column. An arrow points from each cell in the column to its corresponding row on the right. Data from the list, as follows: Verter a is adjacent to vertices b and c. Verter b is adjacent to vertices a and c. Verter c is adjacent to vertices a, b, d, and e. Verter d is adjacent to vertices c and e. Vertex e is adjacent to vertices c and d.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:For parts (a) and (b), indicate if each of the two graphs are equal. Justify your
answer.
(a)
d
b
b
O
d
b C
a C
a b de
C
C d
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; c and d; e and d; and e and c.
Figure 2: Right: The adjacency list representation of a graph. The list
shows all the vertices, a through e, in a column from top to bottom. The
adjacent vertices for each vertex in the column are placed in a row to the
right of the corresponding verters cell in the column. An arrow points from
each cell in the column to its corresponding row on the right. Data from
the list, as follows: Vertex a is adjacent to vertices b and c. Vertex b is
adjacent to vertices a and c. Verter c is adjacent to vertices a, b, d, and e.
Vertex d is adjacent to vertices c and e. Vertex e is adjacent to vertices c
and d.
Transcribed Image Text:(b)
d
C
00
0
0000H
01 1
HOLO
OTOOL
0
1101
0 1
0
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 e; a and d: d and c; and e and b.
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