Vertex-Edge Graphs (part 2)

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Vertex-Edge Graphs(part 2)
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What kind of problems can we do using Vertex-Edge
Graphs?
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Zoo Habitat
The local zoo hired a builder to create a plan
for building new animal habitats (houses). Each
habitat costs 2 million so the number of
habitats must be as few as possible. Some animals
cannot live together in the same habitat as shown
in the matrix below. What is the fewest number
of habitats that must be built to house all eight
animals peacefully?
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Now create the Vertex Edge Graph using the matrix.
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Panda
Giraffe
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Tiger
Oryx
Hawk
Rhino
Zebra
Panda
Giraffe
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Now fill in the Table of which animals have
conflicts with which animals.
Animal Conflict
Tiger    
Oryx    
Zebra    
Giraffe    
Elephant    
Panda    
Rhino    
Hawk    
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(No Transcript)
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On your Vertex Edge Graph color each vertex, make
sure that no same colored vertices share an edge.
What is the fewest number of habitats that must
be built to house all eight animals peacefully?
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Zoo Habitat
The local zoo hired a builder to create a plan
for building new animal habitats (houses) . Each
habitat costs 2 million so the number of
habitats must be as few as possible. Some animals
cannot live together in the same habitat as shown
in the table below. What is the fewest number of
habitats that must be built to house all eight
animals peacefully?
Animal Conflicts
Tiger Oryx, Zebra, Panda
Oryx Elephant, Panda, Tiger
Zebra Tiger, Hawk, Rhinoceros
Giraffe Elephant, Rhinoceros, Hawk
Elephant Giraffe, Panda, Oryx
Panda Tiger, Elephant, Oryx
Rhinoceros Giraffe, Zebra, Hawk
Hawk Rhinoceros, Giraffe, Zebra
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
Rhino
Zebra
Giraffe
Panda
Elephant
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Tiger
Oryx
Hawk
How many habitats do we need?
Rhino
Panda
Elephant