Q6 (a) Check that the graph G₁ in figure 3 is Eulerian (listing the degree's will suffice). (b) Apply Hierholzer's algorithm, using the following cycles (in the order given), to construct an Eulerian circuit. C₁ a beca C2 bdhfc C3 ehji C4 g f i e b Figure 3: G₁ (c) Now use Fleury's algorithm to find an eulerian circuit, under the following restrictions. Use this initial walk j→i→ f→g. ⚫ Where-ever possible, choose the vertex that comes first alphabetically e.g. choose b over c. • Make sure to indicate bridges, taken or not!
Q6 (a) Check that the graph G₁ in figure 3 is Eulerian (listing the degree's will suffice). (b) Apply Hierholzer's algorithm, using the following cycles (in the order given), to construct an Eulerian circuit. C₁ a beca C2 bdhfc C3 ehji C4 g f i e b Figure 3: G₁ (c) Now use Fleury's algorithm to find an eulerian circuit, under the following restrictions. Use this initial walk j→i→ f→g. ⚫ Where-ever possible, choose the vertex that comes first alphabetically e.g. choose b over c. • Make sure to indicate bridges, taken or not!
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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Please do the following questions with handwritten working out
Transcribed Image Text:Q6 (a) Check that the graph G₁ in figure 3 is Eulerian (listing the degree's will suffice).
(b) Apply Hierholzer's algorithm, using the following cycles (in the order given), to construct
an Eulerian circuit.
C₁ a beca
C2 bdhfc
C3 ehji
C4 g f i
e
b
Figure 3: G₁
(c) Now use Fleury's algorithm to find an eulerian circuit, under the following restrictions.
Use this initial walk j→i→ f→g.
⚫ Where-ever possible, choose the vertex that comes first alphabetically e.g. choose b
over c.
• Make sure to indicate bridges, taken or not!
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