### ) 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 .

) 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

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…

### A function G BT : → ℕ is defined as below. G t( ) 0 = if LEFT t RIGHT t ( ) ( ) = = ∅ G t G RIGHT t ( ) = +1 ( ( )) if LEFT t( ) = ∅ and RIGHT t( ) ≠ Evaluate G s( ) where s is the tree in part (a). (ii) Describe the general effect of G on any tree in BT .

A function G BT : → ℕ is defined as below. G t( ) 0 = if LEFT t RIGHT t ( ) ( ) = = ∅ G t…

### Use the minimal spanning tree algorithm to find a minimum connector for the graph G below.

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 ( ( ( ) , ( ) , ( ) ) ( ) ( ))

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 ∅

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:

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.

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?

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  .

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) Determine the matrix representing the composition S R

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?

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.

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.

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.).

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…