Consider the following tree. Assume that the neighbors of a vertex are consid- ered in alphabetical order. C a g Figure 15: A graph has 7 vertices, a through g, and 10 edges. Verter e on the left end is horizontally inline with verter g on the right end. Verter b is below and to the right of verter e. Verter c is above verter e and to the right of verter b. Verter f is between and to the right of vertices c and b. Verter f is horizontally inline with vertices e and g. Verter a is above and to the right of verter f. Verter d is below and to the right of verter f. Verter a is vertically inline with verter d. Verter g is between and to the right of vertices a and d. The edges between the vertices are as follows: e and b; b and e; e and f; c and a; a and d; b and f; f and a; f and d; a and g; and d and g. (a) Give the tree resulting from a traversal of the graph below starting at ver- tex a using BFS. (b) Give the tree resulting from a traversal of the graph below starting at ver- tex a using DFS.
Consider the following tree. Assume that the neighbors of a vertex are consid- ered in alphabetical order. C a g Figure 15: A graph has 7 vertices, a through g, and 10 edges. Verter e on the left end is horizontally inline with verter g on the right end. Verter b is below and to the right of verter e. Verter c is above verter e and to the right of verter b. Verter f is between and to the right of vertices c and b. Verter f is horizontally inline with vertices e and g. Verter a is above and to the right of verter f. Verter d is below and to the right of verter f. Verter a is vertically inline with verter d. Verter g is between and to the right of vertices a and d. The edges between the vertices are as follows: e and b; b and e; e and f; c and a; a and d; b and f; f and a; f and d; a and g; and d and g. (a) Give the tree resulting from a traversal of the graph below starting at ver- tex a using BFS. (b) Give the tree resulting from a traversal of the graph below starting at ver- tex a using DFS.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Discrete Mathematics
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Part a
Part b

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15 of 16
Consider the following tree. Assume that the neighbors of a vertex are consid-
ered in alphabetical order.
Figure 15: A graph has 7 vertices, a through g, and 10 edges. Verter e on the left
end is horizontally inline uwith verter g on the right end. Verter b is below and to
the right of verter e. Verter c is above verter e and to the right of verter b. Verter
f is between and to the right of vertices c and b. Verter f is horizontally inline with
vertices e and g. Verter a is above and to the right of verter f. Verter d is below
and to the right of verter f. Verter a is vertically inline with verter d. Verter g is
between and to the right of vertices a and d. The edges between the vertices are as
follows: e and b; b and e; e and f; c and a; a and d; b and f; f and a; f and d; a
and g; and d and g.
(a) Give the tree resulting from a traversal of the graph below starting at ver-
tex a using BFS.
(b) Give the tree resulting from a traversal of the graph below starting at ver-
tex a using DFS.
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Step 1: Given.
Given: A graph
To find: a) Tree resulting from a traversal of the graph below starting at vertex a using BFS.
b) Tree resulting from a traversal of the graph below starting at vertex a using DFS.
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