All parts of this le task essable tasestion refer to t able task sable task graph below. Copyright Copyrig Copy de task able task Copyri task sk Copy E as onash, O onash pyrigh righ Monash University Monash Universi ht Monash University Jonash University it Monash University 20 onash Universit (i) How many cycles of length 3 does the graph contain? ash Univ onash Univer (ii) How many paths of length 4 from A to B are there in the graph? Write down each path as a sequence of vertices (if there are any such paths). ht" ngh (iii) How many trails of length 4 from A to B are there in the graph? Write down each trail as a sequence of vertices (if there are any such trails).

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
Note: Remember that "graph" means "simple graph" unless otherwise specified. Y
(1) All parts of this question refer to the graph b
le
able
ta
task
ssable task
sessable task
Assessable task
2
022
ASOH
ssable task
2022
Copyrig
able task
task
sk
many cycles of length 3 does the g
(ii) How many paths of length 4 from A to B are there in the graph? Writash Univers
(iii) How many trails of length 4 from A to B are there in the graph? Wiolonch Unive
down each path
as a sequence of vertices (if there are any such paths).
down each trail as
a sequence of vertices (if there are any such trails).
(iv) Suppose we want to remove the untch reach a that is
and we wish to remove the fewest edges possible to achieve this objective. Which edge(s)
should be removed?
Copyright
Copyrig
Copy
essar
Copyt Mon
D
onas
usein
OPYT
ash Unive
Onash University
lonash University 20
Monash University 202
nt Monash University 2021
Monash University
Monash University
onash University
tas
onash,
onash Un
ask
zh
on
Transcribed Image Text:Note: Remember that "graph" means "simple graph" unless otherwise specified. Y (1) All parts of this question refer to the graph b le able ta task ssable task sessable task Assessable task 2 022 ASOH ssable task 2022 Copyrig able task task sk many cycles of length 3 does the g (ii) How many paths of length 4 from A to B are there in the graph? Writash Univers (iii) How many trails of length 4 from A to B are there in the graph? Wiolonch Unive down each path as a sequence of vertices (if there are any such paths). down each trail as a sequence of vertices (if there are any such trails). (iv) Suppose we want to remove the untch reach a that is and we wish to remove the fewest edges possible to achieve this objective. Which edge(s) should be removed? Copyright Copyrig Copy essar Copyt Mon D onas usein OPYT ash Unive Onash University lonash University 20 Monash University 202 nt Monash University 2021 Monash University Monash University onash University tas onash, onash Un ask zh on
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