The diagram below shows the arrangement of a Habitrail cage for a pet hamster. (Plastic tubes connect different cages.) Is it possible for a hamster to travel through every tube without going through the same tube twice? If so, find a route for the hamster to follow. Can the hamster return to its starting point without repeating any tube passages?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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Topic: Graph Famillarization 

What kind of graph is this (Eulerian, Hamiltonian, etc?)

answer the question attached on the picture.

The diagram below shows the arrangement of a Habitrail cage for a pet hamster.
(Plastic tubes connect different cages.) Is it possible for a hamster to travel through
every tube without going through the same tube twice? If so, find a route for the
hamster to follow. Can the hamster return to its starting point without repeating any
tube passages?
A
Transcribed Image Text:The diagram below shows the arrangement of a Habitrail cage for a pet hamster. (Plastic tubes connect different cages.) Is it possible for a hamster to travel through every tube without going through the same tube twice? If so, find a route for the hamster to follow. Can the hamster return to its starting point without repeating any tube passages? A
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