How can I prove briefly the Proof of correctness for the reverse-delete algorithm?
How can I prove briefly the Proof of correctness for the reverse-delete algorithm?
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The Reverse-Delete algorithm ensures connectivity in the graph or graph parts before deletion. Since the algorithm only deletes edges when it does not disconnect the graph, any edge removed by the algorithm at the time of deletion was in a cycle. Since the algorithm starts from the heaviest weighted edge and continues in decreasing order, the edge removed from any cycle is the maximum edge in that cycle. Therefore, according to the definition of a minimum spanning tree, the edges removed by the algorithm are not in any minimum spanning tree.
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How can I prove briefly the Proof of correctness for the
reverse-delete algorithm?
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To prove the correctness of the following: # pre: int >= 1 fac = 1 i...
To prove the correctness of the following:
# pre: int >= 1
fac = 1
i = n
while i>0:
fac = fac*i
i = i-1
# post: fac = n!
which loop invariant do we need?
(Hint, you will need two statements that are both
true. One about fac and one about i)
Please provide both full statements as well as which
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To prove the correctness of the following:
# pre: int >= 1
fac = 1
i = n
while i>0:
fac = fac*i
i = i-1
# post: fac = n!
which loop invariant do we need?
(Hint, you will need two statements that are both
true. One about fac and one about i)
Please provide both full statements as well as which
loop invariant is needed in a full proof.
2. To prove correctness of the following:...
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