a List all stations with an (in degree ≥2) and (out-degree 2). Your answer should be sorted in ascending alphabetical order. b What is the shortest walk from Merchandise Mart to Clark/Lake? State the length, describe the walk (use notation), and state whether the walk is open or closed. c Is the shortest walk from Merchandise Mart to Clark/Lake a path, trail, circuit, or cycle? d Is there a circuit that is not a cycle? If so, describe the walk using notation. If not, state why. e Is there a walk that is not a path from LaSalle to Washington but is a trail? If so, give the walk with the minimum length. If not, explain why. Describe a scenario when using public transportation where a walk might turn into a path. f Say you are riding from LaSalle to Clark/Lake but you miss your stop. How much does the length of your walk increase (assuming you can only reach your destination via the lines described here). Is your new walk a path, trail, circuit, or cycle? Given the following directed graph G representing Chicago's 'L' system: Merchandise Mart Washington/Wells UIC-Halsted Clinton Quincy State/Lake Clark/ Lake LaSalle/ Van Buren Washington Washington/Wabash Monroe Jackson Adams/Wabash Harold Washington Library LaSalle Figure 1: Directed graph G representing Chicago's 'L' system.
a List all stations with an (in degree ≥2) and (out-degree 2). Your answer should be sorted in ascending alphabetical order. b What is the shortest walk from Merchandise Mart to Clark/Lake? State the length, describe the walk (use notation), and state whether the walk is open or closed. c Is the shortest walk from Merchandise Mart to Clark/Lake a path, trail, circuit, or cycle? d Is there a circuit that is not a cycle? If so, describe the walk using notation. If not, state why. e Is there a walk that is not a path from LaSalle to Washington but is a trail? If so, give the walk with the minimum length. If not, explain why. Describe a scenario when using public transportation where a walk might turn into a path. f Say you are riding from LaSalle to Clark/Lake but you miss your stop. How much does the length of your walk increase (assuming you can only reach your destination via the lines described here). Is your new walk a path, trail, circuit, or cycle? Given the following directed graph G representing Chicago's 'L' system: Merchandise Mart Washington/Wells UIC-Halsted Clinton Quincy State/Lake Clark/ Lake LaSalle/ Van Buren Washington Washington/Wabash Monroe Jackson Adams/Wabash Harold Washington Library LaSalle Figure 1: Directed graph G representing Chicago's 'L' system.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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