d. Is there a circuit of length greater than 9 starting at Merchandise Mart? e. Is there an edge from UIC-Halsted to Monroe in G* for some odd integer k?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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D and E only.

6.
Given the following directed graph G representing Chicago's 'L' system:
Merchandise Mart
State/Lake
Clark
Lake
Washington/Wells
Washington
Washington/Wabash
Monroe
Quincy
Jackson
Adams/Wabash
LaSalle/
Van Buren
Harold
Washington
Library
UIC-Halsted
Clinton
LaSalle
Answer the following questions and justify all your answers:
a. Is there a walk of length greater than 4 from UIC-Halsted to Monroe?
b. Is there a path of length greater than 7 from UIC-Halsted to Merchandise Mart?
c. Is there a cycle of length greater than 2 starting at UIC-Halsted?
d. Is there a circuit of length greater than 9 starting at Merchandise Mart?
Is there an edge from UIC-Halsted to Monroe in Gk for some odd integer k?
е.
Transcribed Image Text:6. Given the following directed graph G representing Chicago's 'L' system: Merchandise Mart State/Lake Clark Lake Washington/Wells Washington Washington/Wabash Monroe Quincy Jackson Adams/Wabash LaSalle/ Van Buren Harold Washington Library UIC-Halsted Clinton LaSalle Answer the following questions and justify all your answers: a. Is there a walk of length greater than 4 from UIC-Halsted to Monroe? b. Is there a path of length greater than 7 from UIC-Halsted to Merchandise Mart? c. Is there a cycle of length greater than 2 starting at UIC-Halsted? d. Is there a circuit of length greater than 9 starting at Merchandise Mart? Is there an edge from UIC-Halsted to Monroe in Gk for some odd integer k? е.
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