7.) Define a graph G representing the floor plan below, So that the set of vertices of G is given is given by the A, B, C, D, E and the exterior; and define rooms an edge joining two vertices whenever there is a door Joining both vertices. A I D B C INH E HH Then answer the following questions! a) Draw the graph G representing the floor plan above. b) Determine whether there is either a path that starts at room C and passes through each doorway exactly one time? Justify your ansever c) Find a cycle that passes through each vertex of the part a) exactly one time graph in
7.) Define a graph G representing the floor plan below, So that the set of vertices of G is given is given by the A, B, C, D, E and the exterior; and define rooms an edge joining two vertices whenever there is a door Joining both vertices. A I D B C INH E HH Then answer the following questions! a) Draw the graph G representing the floor plan above. b) Determine whether there is either a path that starts at room C and passes through each doorway exactly one time? Justify your ansever c) Find a cycle that passes through each vertex of the part a) exactly one time graph in
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Transcribed Image Text:7.) Define a graph G representing the floor plan below,
So that the set of vertices of G is given
is given by the
A, B, C, D, E and the exterior; and define
rooms
an edge joining two vertices whenever there is a
door
Joining both vertices.
A
I
D
B
C
INH
E
HH
Then answer the following questions!
a) Draw the graph G representing the floor plan above.
b) Determine whether there is either a path that starts at
room C and passes through each doorway exactly one
time?
Justify your ansever
c) Find a cycle that passes through each vertex of the
part a) exactly one time
graph in
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