Consider this directed graph G and answer the following questions: A. Determine whether these sequences of vertices are paths in this directed graph G. a) a, b, d, e b) b, d, c, b, f c) a, a, b, d, e, e d) b, c, e, d, a, b e) e, a, c, c, b, d B. Determine whether G is strongly connected graph, and find deg-(a), deg-(e), deg+(c), deg+(d) C. List two circuits of length four in G. D. Construct the adjacency matrix for G considering the alphabetic order for its vertices.

Consider this directed graph G and answer the following questions: A. Determine whether these sequences of vertices are paths in this directed graph G. a) a, b, d, e b) b, d, c, b, f c) a, a, b, d, e, e d) b, c, e, d, a, b e) e, a, c, c, b, d B. Determine whether G is strongly connected graph, and find deg-(a), deg-(e), deg+(c), deg+(d) C. List two circuits of length four in G. D. Construct the adjacency matrix for G considering the alphabetic order for its vertices.

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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Question

Consider this directed graph G and answer the following questions:

A. Determine whether these sequences of vertices are paths in this directed graph G.

a) a, b, d, e

b) b, d, c, b, f

c) a, a, b, d, e, e

d) b, c, e, d, a, b

e) e, a, c, c, b, d

B. Determine whether G is strongly connected graph, and find deg-(a), deg-(e), deg+(c), deg+(d)

C. List two circuits of length four in G.

D. Construct the adjacency matrix for G considering the alphabetic order for its vertices.

Consider this directed graph G and answer the following questions:
a
G
b
d
f
A. Determine whether these sequences of vertices are paths in this directed graph G.
a) a, b, d, e
b) b, d, c, b, f
c) a, a, b, d, e, e
d) b, c, e, d, a,
e) e, a, c, c, b, d
B. Determine whether G is strongly connected graph, and find deg-(a), deg-(e), deg+(c), deg+(d)
C. List two circuits of length four in G.
D. Construct the adjacency matrix for G considering the alphabetic order for its vertices.

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