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) Find a time complexity function for the algorithm by calculating how many times the comparison i j x x = is performed for an input sequence of length n…

The following algorithm, Algorithm1, counts the number of pairs of integers in a list. Algorithm Algorithm1 begin Input x1, x2, …, xn SCROLL DOWN TO DOWNLOAD A++ SOLUTION TO ALL…

Use the minimal spanning tree algorithm to find a minimum connector for the graph G below. SCROLL DOWN TO DOWNLOAD A++ SOLUTION TO ALL QUESTIONS Discrete Mathematics Click the pdf…

Let s be the following element of BT : Draw the trees (i) MAKE LEFT s (∅,10, ( )) (ii) MAKE RIGHT LEFT s ROOT LEFT s LEFT LEFT s…

The set BT consists of all binary rooted trees whose vertices are elements of the set ℕ of natural numbers. The empty tree is denoted by ∅ SCROLL DOWN TO…

Use Dijkstra's Algorithm to find the shortest distance from vertex A to all the other vertices in the following weighted digraph: SCROLL DOWN TO DOWNLOAD A++ SOLUTION TO ALL QUESTIONS…

Explain how you would amend the algorithm to find a spanning tree of maximum total weight. Hence, find a spanning tree of maximum total weight for the graph G above.…

How many distinct rearrangements are there of the letters in the word MATHEMATICS (i) begin with the letter H (ii) have both the M together? SCROLL DOWN TO DOWNLOAD A++…

Let f and g be functions from ℕ to ℕ, where ℕ is the set of natural numbers, with Determine f f  , f g and g f …

Relations R and S on the set {a b c d , , , } are represented respectively by the matrices List the ordered pairs belonging to R . (b)…

A palindrome is a string of digits which reads the same backwards as forwards. How many different palindromes are there with 9 digits? SCROLL DOWN TO DOWNLOAD A++ SOLUTION TO…

Conclude how you will apply graph theory in your area of specialization. Assignment: Application of Graph Theory In 1736, a famous Swiss mathematician Leonhard Euler (1707 – 1783) started the…

Examine how these applications are being used in your specialization. Determine how graph theory has advanced the knowledge in your area of specialization. Assignment: Application of Graph Theory In 1736,…

Choose two (2) applications for graph theory within your area of specialization (Networking, Security, Databases, Data Mining, Programming, etc.). Assignment: Application of Graph Theory In 1736, a famous Swiss mathematician…