Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Computer Science Posted 15 Sep 2017 My Price 7.00

disjoint-sets data structure

1. Give the state of the disjoint-sets data structure after the following sequence of operations, starting

 

from singleton sets {1}, ... , {8}. Use path compression. In case of ties, always make the lower numbered root point to the higher-numbered one.

 

union(1, 2); union(3, 4); union(5, 6); union(7, 8); union(1, 4); union(6, 7); union(4, 5); find(1)

 

2.Screen Shot 2015-03-16 at 4.53.18 PM.png

Show transcribed image text 1. Give the state of the disjoint-sets data structure after the following sequence of operations, starting from singleton sets {1}, ... , {8}. Use path compression. In case of ties, always make the lower numbered root point to the higher-numbered one. union(1, 2); union(3, 4); union(5, 6); union(7, 8); union(1, 4); union(6, 7); union(4, 5); find(1) 2. Suppose we want to find the minimum spanning tree of the following graph. (a) Run Print's algorithm; whenever there is a choice of nodes, always use alphabetic ordering (e.g., start from node A). Draw a table showing the intermediate values of the cost array. (b) Run Kruskal's algorithm on the same graph. Show how the disjoint-sets data structure looks at every intermediate stage (including the structure of the directed trees), assuming path compression is used.

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Maurice Tutor
(5)
Status NEW Posted 15 Sep 2017 12:09 PM My Price 7.00

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