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Define an ordered rooted tree. Cite any two applications of the tree structure, also illustrate using an example each the purpose of the usage.
Ans: A tree is a graph like that it is connected, it has no loop or circuit of any length and number of edges in it is one less as compared to the number of vertices.
If the downward slop of an arc is taken as the direction of the arc after that the above graph can be considered as a directed graph. In degree of node + is zero and of all other nodes is one. There are nodes such as 3, 4, 5, 2 and 5 without degree zero and all other nodes comprise out degree > 0. A node with in degree zero in a tree is known as root of the tree. Each tree has one and just only one root and that is why a directed tree is as well known as a rooted tree. The position of each labeled node is fixed, any change in the position of node will modify the meaning of the expression denoted by the tree. Such kind of tree is called ordered tree.
A tree structure is utilized in evaluation of an arithmetic expression (parsing technique) The other common application is search tree. The tree presented is an instance of expression tree. An instance of binary search tree is shown below.
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like the crest of a peacock so is mathematics at the head of all knowledge. Example At a certain time in a deer park, t
An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 5.72 cents per kilowatt-hour to its base charge of $16.35 per month
Submit solutions for all of the following questions. Remember to set out your answers showing all steps completely and explicitly justify your steps. 1. Provide, in no more than
The ratio of gasoline to oil needed to run a chain-saw is 16:1. If you have 3.5 mL of oil, how many millilitres of gasoline must you add to get the proper mixture?
-1+5-100=?
Three-person Problem of Points: Pascal, Fermat and their old friend the Chevalier de Mere each put $10.00 into a pot, and agree to play a game that has rounds. Each player has the
Find the ratio in which the line segment joining A(6,5) and B(4,-3) is divided by the line y=2 (Ans:3:5) Ans : Let the ratio be k:1 x = 4 k + 6/ k +1 y
A class has 175 learners. The given table describes the number of learners studying one or more of the subsequent subjects in this case Subjects
show that the green''s function for x"=0,x(1)=0,x''(0)+x''(1)=0 is G(t,s)=1-s
Question: In the interest of saving up enough money for retirement, you have created a bank account to store a sum of money. Compound interest on this account is accumulated
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