Given the following directed graph G representing Chicago's 'L' system: Morchandise Mart StatelLake Clark Lake WashingtonWells Washington/Wabash Washington Monroe Quincy Jackson Adama/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 5 from UIC-Halsted to Washington? b. Is there a path of length greater than 6 from UIC-Halsted to Clark/Lake? c. Is there a circuit of length greater than 9 starting at Clark/Lake? d. Is there a cycle of length greater than 2 starting at UIC-Halsted? e. Is there an edge from UIC-Halsted to Washington in G* for some even integer k?

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Chapter2: Second-order Linear Odes
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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 5 from UIC-Halsted to Washington?
b. Is there a path of length greater than 6 from UIC-Halsted to Clark/Lake?
c. Is there a circuit of length greater than 9 starting at Clark/Lake?
d. Is there a cycle of length greater than 2 starting at UIC-Halsted?
e. Is there an edge from UIC-Halsted to Washington in Gk for some even integer k?
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 5 from UIC-Halsted to Washington? b. Is there a path of length greater than 6 from UIC-Halsted to Clark/Lake? c. Is there a circuit of length greater than 9 starting at Clark/Lake? d. Is there a cycle of length greater than 2 starting at UIC-Halsted? e. Is there an edge from UIC-Halsted to Washington in Gk for some even integer k?
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