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Define a recurrence relation. Describe the following problems with the help of examples which can be solved through Divide and Conquer technique and Show its recurrence relation.
(i) Binary Search
(ii) Merge Sort
Solve these recurrence relations with a substitution method

Posted on : 2024-04-24 15:08:48 | Author : Abha Shine | View : 2

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Degree : MASTER DEGREE PROGRAMMES
Course Name : Master of Computer Applications
Course Code : MCA
Subject Name : Advanced Discrete Mathematics
Subject Code : MCS 33
Year : 2023

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Define a recurrence relation. Describe the following problems with the help of examples which can be solved through Divide and Conquer technique and Show its recurrence relation.
(i) Binary Search
(ii) Merge Sort
Solve these recurrence relations with a substitution method

(a) Solve $a_{n+1}+1=5a_n$ for $n\geq 0,\,a_0=2$ by Substitution method.

(b) Solve the recurrence by using iterative approach : $a_n=a_{n-1}\,\,+2n+3,\,a_0=4$

Show the followings:
a) Show that for a subgraph H of a graph G, ∆(H) ≤ ∆ (G)
b) Show that

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Define a recurrence relation. Describe the following problems with the help of examples which can be solved through Divide and Conquer technique and Show its recurrence relation.
(i) Binary Search
(ii) Merge Sort
Solve these recurrence relations with a substitution method

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Define a recurrence relation. Describe the following problems with the help of examples which can be solved through Divide and Conquer technique and Show its recurrence relation. (i) Binary Search (ii) Merge Sort Solve these recurrence relations with a substitution method

Related Question

Define a recurrence relation. Describe the following problems with the help of examples which can be solved through Divide and Conquer technique and Show its recurrence relation.
(i) Binary Search
(ii) Merge Sort
Solve these recurrence relations with a substitution method