mohammad.n.aabed
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AnswerLet "output" denote the cut output by Karger's min cut algorithm on a given connected graph with n vertices, and let p=1/(n "up" 2). Which of the following statements are true? For hints on this question, you might want to watch the short optional video on "Counting Minimum Cuts".
- mohammad.n.aabed in United States
For every graph G with n nodes and every min cut (A,B) of G,
Pr[out=(A,B)]≥p.
For every graph G with n nodes, there exists a min cut (A,B) such that
Pr[out=(A,B)]≤p.
For every graph G with n nodes and every min cut (A,B),
Pr[out=(A,B)]≤p.
There exists a graph G with n nodes and a min cut (A,B) of G such that
Pr[out=(A,B)]≤p.
For every graph G with n nodes, there exists a min cut (A,B) of G such that
Pr[out=(A,B)]≥p.| Report Duplicate | Flag | PURGE
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0of 0 votes
AnswersArrange the following functions in increasing order of growth rate (with g(n) following f(n) in your list if and only if f(n)=O(g(n))).
- mohammad.n.aabed in United States
a)22n
b)2n2
c)n2log(n)
d)n
e)n2n
Write your 5-letter answer, i.e., the sequence in lower case letters in the space provided. For example, if you feel that the answer is a->b->c->d->e (from smallest to largest), then type abcde in the space provided without any spaces before / after / in between the string. You can assume that all logarithms are base 2 (though it actually doesn't matter).| Report Duplicate | Flag | PURGE
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Answersk-way-Merge Sort. Suppose you are given k sorted arrays, each with n elements, and you want to combine them into a single array of kn elements. Consider the following approach. Using the merge subroutine taught in lecture, you merge the first 2 arrays, then merge the 3rd given array with this merged version of the first two arrays, then merge the 4th given array with the merged version of the first three arrays, and so on until you merge in the final (kth) input array. What is the running time taken by this successive merging algorithm, as a function of k and n? (Optional: can you think of a faster way to do the k-way merge procedure
- mohammad.n.aabed in United States
?)
θ(nlog(k))
θ(nk2)
θ(n2k)
θ(nk)| Report Duplicate | Flag | PURGE
Algorithm
ok... but which one is right " θ(nlog(k)) θ(nk2) θ(n2k) θ(nk) " ....???
- mohammad.n.aabed July 21, 2013ok... but which one is right " θ(nlog(k)) θ(nk2) θ(n2k) θ(nk) " ....???
- mohammad.n.aabed July 21, 2013- 0
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yup that's what i mean.... thank you very much...:)
- mohammad.n.aabed July 21, 2013