Define an ordered rooted tree, Mathematics

Assignment Help:

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.

1498_Define an ordered rooted tree 1.png

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.

1685_Define an ordered rooted tree 2.png


Related Discussions:- Define an ordered rooted tree

Heat loss in a cylindrical pipe, which laws of physics are used to discuss ...

which laws of physics are used to discuss heat loss in a pipe

Calculate plurality voting and borda count, Consider the following set of p...

Consider the following set of preference lists:                                                      Number of Voters (7)                 Rank            1          1

Geometry, How do you solve (17+w)^2 + w^2 = (25+w)^2

How do you solve (17+w)^2 + w^2 = (25+w)^2

Derivative with polar coordinates - parametric equations, Derivative with P...

Derivative with Polar Coordinates dy/dx = (dr/dθ (sin θ) + r cos θ) / (dr/dθ (cosθ) - r sinθ) Note: Rather than trying to keep in mind this formula it would possibly be easi

Linear programming , use the simplex method to solve the following lp probl...

use the simplex method to solve the following lp problem. max z = 107x1 + x2 + 2x3 subject to 14x1 + x2 - 6x3 + 3x4 = 7 16x1 + x2 - 6x3 3x1 - x2 - x3 x1,x2,x3,x4 > = 0

What is the value of x in probability , A bag contains 8 red balls and x bl...

A bag contains 8 red balls and x blue balls, the odd against drawing a blue ball are 2: 5. What is the value of x?                                                               (An

What is the continuously compounded forward rate, At time t an investor s...

At time t an investor shorts a $1 face value zero coupon bond that matures at time T = t and uses the entire proceeds to purchase a zero coupon bond that matures at time

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd