Harrison & Western Given the following directed graph G representing UIC's bus route: Harrison & Damen Harrison & Racine Taylor Taylor & Oakley & Damen CTA Pink Line Taylor & Paulina Taylor & Loomis Taylor & Racine Athletic Fields BSB SCE TBH Maxwell & Halsted Answer the following questions: a. Is there a path of length greater than 1 from Athletic Fields to Taylor & Racine? If so, find one. If not, explain why. b. Is there a walk of length greater than 2 from Taylor & Racine to Taylor & Paulina? If so, find one. If not, explain why. c. Is there a circuit of length greater than 2 and less than 6 starting at Taylor & Paulina? If so, find one. If not, explain why. d. Is there a cycle of length greater than 6 starting at CTA Pink Line? If so, find one. If not, explain why. e. Is there an edge from SCE to itself in G* for some odd integer k? Justify your answer.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.1: Stem-and-leaf Plots And Histograms
Problem 9E
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Harrison &
Western
Given the following directed graph G representing UIC's bus route:
Harrison
& Damen
Harrison
& Racine
Taylor Taylor
& Oakley & Damen
CTA Pink Line
Taylor
& Paulina
Taylor
& Loomis
Taylor
& Racine
Athletic
Fields
BSB
SCE
TBH
Maxwell
& Halsted
Answer the following questions:
a. Is there a path of length greater than 1 from Athletic Fields to Taylor & Racine? If so,
find one. If not, explain why.
b.
Is there a walk of length greater than 2 from Taylor & Racine to Taylor & Paulina? If so,
find one. If not, explain why.
c.
Is there a circuit of length greater than 2 and less than 6 starting at Taylor & Paulina?
If so, find one. If not, explain why.
d. Is there a cycle of length greater than 6 starting at CTA Pink Line? If so, find one. If not,
explain why.
e. Is there an edge from SCE to itself in G* for some odd integer k? Justify your answer.
Transcribed Image Text:Harrison & Western Given the following directed graph G representing UIC's bus route: Harrison & Damen Harrison & Racine Taylor Taylor & Oakley & Damen CTA Pink Line Taylor & Paulina Taylor & Loomis Taylor & Racine Athletic Fields BSB SCE TBH Maxwell & Halsted Answer the following questions: a. Is there a path of length greater than 1 from Athletic Fields to Taylor & Racine? If so, find one. If not, explain why. b. Is there a walk of length greater than 2 from Taylor & Racine to Taylor & Paulina? If so, find one. If not, explain why. c. Is there a circuit of length greater than 2 and less than 6 starting at Taylor & Paulina? If so, find one. If not, explain why. d. Is there a cycle of length greater than 6 starting at CTA Pink Line? If so, find one. If not, explain why. e. Is there an edge from SCE to itself in G* for some odd integer k? Justify your answer.
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