Consider the following rooms from a hotel: D2 Room 217 Room 218 D1 D3 Hallway D6 D4 Room 318 Room 317 D5

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Consider the following rooms from a hotel:
D2
Room 217
Room 218
D1
D3
Hallway
D6
D4
Room 318
Room 317
D5
A. Please draw a graph that shows how the various rooms are connected to each-other by
doorways (count the Hallway as a normal room)
B. Please give a walk from room 217 to room 318 that is not a trail.
c. Is there an Euler circuit through these rooms? I.e., is it possible to walk around the rooms,
starting and ending in the same room, and visiting every room while passing through each
door exactly once? Please give such a circuit, if one exists, or say how you know that no
such circuit exists.
Transcribed Image Text:Consider the following rooms from a hotel: D2 Room 217 Room 218 D1 D3 Hallway D6 D4 Room 318 Room 317 D5 A. Please draw a graph that shows how the various rooms are connected to each-other by doorways (count the Hallway as a normal room) B. Please give a walk from room 217 to room 318 that is not a trail. c. Is there an Euler circuit through these rooms? I.e., is it possible to walk around the rooms, starting and ending in the same room, and visiting every room while passing through each door exactly once? Please give such a circuit, if one exists, or say how you know that no such circuit exists.
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