The avestions Among the graph theory problems which problem is this? 2. Solve the problem for the following instance t₁ = 20 t, 10 t, 50 : 30 3. Solve the problem in the general case either algorithmically er by mathematics. Only linear running time in the number of cities Can earn a 4. If & < t < max Score to, what will be the total of the optimal road system? expense 5. Argue the correctness of Your answer. After extensive planning Bonusland is constructing a road system to connect cities with in the country. The objective is to ensure connectivity between every city while minimizing expenditure on the system roads Each city offers incentive that reduces cost of connected to it. Each city i provides an incentive of t; where +; < 50, for every connecting road. These incentives have been predetermined and are recorded as [t [t....t]. Normally, constructing a road between -cities would cost exactly 100 units. However the incentives from cities i and j, the with cost is reduced to Cost (ij) = 100-t; -t; any two

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The avestions
Among the graph theory problems which
problem is this?
2. Solve the problem for the following instance
t₁ = 20
t,
10
t, 50
:
30
3. Solve the problem in the general case
either algorithmically
er
by mathematics.
Only linear running time in the number
of cities
Can
earn
a
4. If & < t <
max
Score
to, what will be the total
of the optimal road system?
expense
5. Argue
the correctness of
Your
answer.
Transcribed Image Text:The avestions Among the graph theory problems which problem is this? 2. Solve the problem for the following instance t₁ = 20 t, 10 t, 50 : 30 3. Solve the problem in the general case either algorithmically er by mathematics. Only linear running time in the number of cities Can earn a 4. If & < t < max Score to, what will be the total of the optimal road system? expense 5. Argue the correctness of Your answer.
After extensive planning Bonusland is constructing
a
road
system
to connect cities with in the
country. The objective is to ensure connectivity
between every city while minimizing expenditure
on the system
roads
Each city offers incentive that reduces cost of
connected to it. Each city i provides an
incentive of t; where +; < 50, for every
connecting road. These incentives have been
predetermined and are recorded as [t
[t....t].
Normally, constructing a road between
-cities would cost exactly 100 units. However
the incentives from cities i and j, the
with
cost
is
reduced to
Cost (ij) = 100-t; -t;
any
two
Transcribed Image Text:After extensive planning Bonusland is constructing a road system to connect cities with in the country. The objective is to ensure connectivity between every city while minimizing expenditure on the system roads Each city offers incentive that reduces cost of connected to it. Each city i provides an incentive of t; where +; < 50, for every connecting road. These incentives have been predetermined and are recorded as [t [t....t]. Normally, constructing a road between -cities would cost exactly 100 units. However the incentives from cities i and j, the with cost is reduced to Cost (ij) = 100-t; -t; any two
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