Graphs and Money
As your instructor said it in class, there are many situations when
you'll have to use your knowledge about graphs to solve real-life problems.
The problem described here is one people in certain businesses
(road-construction, communications, etc.) face all the time.
A complete description of the problem
is included in a memo from your instructor.
What you'll turn in
- A well commented listing of your program. Note that grading,
as described below, considers both the functionality and the readability
of your code.
You must follow the
and documentation standards used in the Computer Science and Applied Mathematics Department
A floppy disk (3.5") which contains the source file(s) for your
program, a DOS executable named minspan and a README file indicating
what the program
does, how to build the executable, the platform it's been tested on, and
how to run it, plus any other information you consider useful - like the
name of the author, etc. Also two input files (use the extension .din
for the name), you have used to test your program (with a minimum of four
vertices each), and the corresponding output files (with the extension
Please note that if your program reads input from standard
input then it can get input from a file by using input redirection. Similarly,
if the program writes to standard output, then the output can be easily written
to a file by using output redirection.
- A memo describing your work. You will indicate what you have looked
for and how you solved the problem. Direct the memo to your class instructor.
A hardcopy of the program and a paper which introduces the necessary theoretical
background will be attached to the memo. Also attach a hardcopy of your
sample input and the output corresponding to it.
- A mark between 0 and 10 for functionality. The mark basically indicates
in what measure your program works properly and how well you have followed
the initial specification.
- A mark between 0 and 10 for readability. This mark indicates how well
documented your program is; it also considers the general appearance of
your final report.
- Multiply the above two marks to get the mark for this programming assignment.
For each business day you turn in your project earlier you receive a
5% bonus. However, penalties increase by 5% as well. You can turn in your
assignment up to ten business days ahead of the deadline.
- You turn in your assignment three days earlier: a 3*5=15% bonus will
be added to your assignment mark
- We find a single mistake in the functionality section and the penalty
for that mistake is 0.5 points. Since you have turned the assignment three
days earlier than the deadline, the penalty becomes 0.5*(1+3*5%)=0.5*(1+3*0.05)=0.575
- We calculate the mark by multiplying the marks for the functionality
and readability; in your case the mark for functionality is 10-0.575=9.425,
and the mark for readability is 10. The result is 9.425*10=94.25
- We add the bonus to this mark: 94.25+94.25*15%=108.38 which we round
to 108. This is your final mark.
You may be asked to do a code review with your instructor.
||February 10, 1999
A business in Chicago -- they do networking -- has asked me to find a
solution to their problem.
I pass the problem on to you and I just add some details about input ond
output formats. The problem can be modelled as a graph problem. What you
have to do is to write a general program that takes a description
of a connected graph from standard input, finds the shortest system of
edges in the graph such that any two vertices are connected, and prints
the result out to standard output.
Here is a description for the input and the output of your program.
Each line in the input
will give the names of two vertices in the graph and the weight of the edge
connecting them. For simplicity vertex names are non-negative integers.
Weights are non-negative integers
There must be at least two vertices, the graph must be connected and each
edge may be listed only once. Your program must enforce these rules.
Here is an example of input for a graph with three vertices:
0 1 21
1 2 17
2 0 16
The output will contain one line for each edge in the solution. The output
line contains the names of the vertices being connected (the order in
which they are listed is not important), followed by the
weight of the edge connecting them. The final line should be a sentence
indicating the total weight. Here is the output corresponding to the sample
1 2 17
0 2 16
Total weight: 33