Tree

The nodes in a tree are linked by edges. We shall specifically address binary trees or binary search trees.

A binary tree is a type of data structure that is used for data storage. A binary tree has the unique property that each node can only have two offspring. A binary tree combines the advantages of an ordered array and a linked list, since search is as fast as in a sorted array and insertion and deletion operations are as fast as in a linked list.

Binary Tree

Important Terms

Following are the important terms with respect to tree.

  • Path − Path refers to the sequence of nodes along the edges of a tree.
  • Root − The node at the top of the tree is called root. There is only one root per tree and one path from the root node to any node.
  • Parent − Any node except the root node has one edge upward to a node called parent.
  • Child − The node below a given node connected by its edge downward is called its child node.
  • Leaf − The node which does not have any child node is called the leaf node.
  • Subtree − Subtree represents the descendants of a node.
  • Visiting − Visiting refers to checking the value of a node when control is on the node.
  • Traversing − Traversing means passing through nodes in a specific order.
  • Levels − Level of a node represents the generation of a node. If the root node is at level 0, then its next child node is at level 1, its grandchild is at level 2, and so on.
  • keys − Key represents a value of a node based on which a search operation is to be carried out for a node.

Binary Search Tree Representation

Binary Search tree exhibits a special behavior. A node’s left child must have a value less than its parent’s value and the node’s right child must have a value greater than its parent value.

Binary Search Tree

We’re going to implement tree using node object and connecting them through references.

Tree Node

The code to write a tree node would be similar to what is given below. It has a data part and references to its left and right child nodes.

struct node {
   int data;   
   struct node *leftChild;
   struct node *rightChild;
};

In a tree, all nodes share a common construct.

BST Basic Operations

The basic operations that can be performed on a binary search tree data structure, are the following −

  • Insert − Inserts an element in a tree/create a tree.
  • Search − Searches an element in a tree.
  • Preorder Traversal − Traverses a tree in a pre-order manner.
  • Inorder Traversal − Traverses a tree in an in-order manner.
  • Postorder Traversal − Traverses a tree in a post-order manner.

Insert Operation

The tree is formed by the very first insertion. Following that, anytime an element is to be placed, first determine its suitable placement. Begin your search at the root node, and if the data is less than the key value, go to the left subtree and enter the data. Otherwise, find an empty position in the appropriate subtree and insert the data.

Algorithm

If root is NULL 
   then create root node
return

If root exists then
   compare the data with node.data
   
   while until insertion position is located

      If data is greater than node.data
         goto right subtree
      else
         goto left subtree

   endwhile 
   
   insert data
	
end If      

Search Operation

When looking for an element, begin by searching from the root node, then if the data is less than the key value, search for the element in the left subtree. Otherwise, look for the element in the appropriate subtree. For each node, use the same algorithm.

Algorithm

If root.data is equal to search.data
   return root
else
   while data not found

      If data is greater than node.data
         goto right subtree
      else
         goto left subtree
         
      If data found
         return node
   endwhile 
   
   return data not found
   
end if      
0

148 thoughts on “Tree”

  1. When I read an article on this topic, safetoto the first thought was profound and difficult, and I wondered if others could understand.. My site has a discussion board for articles and photos similar to this topic. Could you please visit me when you have time to discuss this topic?

    0
  2. Simply want tto say your article iis ass astonishing. Thee coearness inn your ost iss jjst
    great and i could assume you’re aan expert oon thiis subject.

    Fine wiuth your permission llet mme tto grab our RSS feed too keep uup too date wifh forthcoming post.
    Thahks a million and pleasde carry oon the rewarding work.

    0
  3. You are my inspiration, I own few web logs and occasionally run out from post :). “Follow your inclinations with due regard to the policeman round the corner.” by W. Somerset Maugham.

    0
  4. My developer is trying to persuade me to move to .net from PHP. I have always disliked the idea because of the costs. But he’s tryiong none the less. I’ve been using Movable-type on several websites for about a year and am concerned about switching to another platform. I have heard great things about blogengine.net. Is there a way I can transfer all my wordpress content into it? Any kind of help would be greatly appreciated!

    0
  5. Along with everything that seems to be building within this specific subject material, a significant percentage of perspectives are actually fairly stimulating. However, I appologize, but I do not give credence to your whole suggestion, all be it exhilarating none the less. It would seem to everybody that your commentary are not totally rationalized and in simple fact you are generally yourself not really fully convinced of your argument. In any event I did take pleasure in examining it.

    0
  6. I haven¦t checked in here for a while because I thought it was getting boring, but the last several posts are good quality so I guess I will add you back to my daily bloglist. You deserve it my friend 🙂

    0
  7. hello there and thanks in your info – I have certainly picked up something new from right here. I did alternatively experience several technical points the use of this web site, as I experienced to reload the web site a lot of instances previous to I may just get it to load correctly. I had been brooding about if your hosting is OK? Not that I am complaining, but sluggish loading instances occasions will sometimes affect your placement in google and can injury your high quality ranking if ads and ***********|advertising|advertising|advertising and *********** with Adwords. Anyway I am including this RSS to my e-mail and could look out for much extra of your respective fascinating content. Make sure you update this once more soon..

    0
  8. I’ve been surfing online greater than three hours lately, but I never found any interesting article like yours. It¦s beautiful worth sufficient for me. In my view, if all web owners and bloggers made just right content material as you probably did, the web can be much more useful than ever before.

    0
  9. I will right away seize your rss as I can not find your email subscription link or newsletter service. Do you’ve any? Please permit me understand so that I may just subscribe. Thanks.

    0
  10. Hi there! This post couldn’t be written any better! Reading through this post reminds me of my previous room mate! He always kept talking about this. I will forward this article to him. Pretty sure he will have a good read. Thank you for sharing!

    0
  11. Aviator Spribe играть казино
    What words… super, remarkable idea
    Добро пожаловать в захватывающий мир авиаторов! Aviator – это увлекательная игра, которая позволит вам окунуться в атмосферу боевых действий на небе. Необычные графика и захватывающий сюжет сделают ваше путешествие по воздуху неповторимым.

    Попробуйте свою удачу с автоматом Aviator Spribe играть уже сегодня!
    Aviator игра позволит вам почувствовать себя настоящим пилотом. Вам предстоит совершить невероятные маневры, выполнять сложные задания и сражаться с противниками. Улучшайте свой самолет, чтобы быть готовым к любым ситуациям и становиться настоящим мастером.
    Основные особенности Aviator краш игры:
    1. Реалистичная графика и физика – благодаря передовой графике и реалистичной физике вы почувствуете себя настоящим пилотом.
    2. Разнообразные режимы игры и миссии – в Aviator краш игре вы сможете выбрать различные режимы игры, такие как гонки, симулятор полетов и захватывающие воздушные бои. Кроме того, каждая миссия будет предлагать свои собственные вызовы и задачи.
    3. Улучшение и модернизация самолетов – в игре доступны различные модели самолетов, которые можно покупать и улучшать. Вы сможете устанавливать новое оборудование, улучшать двигательность и мощность своего самолета, а также выбирать различные варианты окраски и декорации.
    Aviator краш игра – это возможность испытать себя в роли авиатора и преодолеть все сложности и опасности воздушного пространства. Почувствуйте настоящую свободу и адреналин в Aviator краш игре онлайн!
    Играйте в «Авиатор» в онлайн-казино Pin-Up
    Aviator краш игра онлайн предлагает увлекательную и захватывающую игровую атмосферу, где вы становитесь настоящим авиатором и сражаетесь с самыми опасными искусственными интеллектами.
    В этой игре вы должны показать свое мастерство и смекалку, чтобы преодолеть сложности многочисленных локаций и уровней. Вам предстоит собирать бонусы, уклоняться от препятствий и сражаться с врагами, используя свои навыки пилотирования и стрельбы.
    Каждый уровень игры Aviator краш имеет свою уникальную атмосферу и задачи. Будьте готовы к неожиданностям, так как вас ждут захватывающие повороты сюжета и сложные испытания. Найдите все пути к победе и станьте настоящим героем авиатором!
    Авиатор игра является прекрасным способом провести время и испытать настоящий адреналиновый разряд. Готовы ли вы стать лучшим авиатором? Не упустите свой шанс и начните играть в Aviator краш прямо сейчас!
    Aviator – играй, сражайся, побеждай!
    Aviator Pin Up (Авиатор Пин Ап ) – игра на деньги онлайн Казахстан
    Aviator игра предлагает увлекательное и захватывающее разнообразие врагов и уровней, которые не оставят равнодушными даже самых требовательных геймеров.
    Враги в Aviator краш игре онлайн представлены в самых разных формах и размерах. Здесь вы встретите группы из маленьких и быстрых врагов, а также огромных боссов с мощным вооружением. Разнообразие врагов позволяет игрокам использовать разные тактики и стратегии для победы.
    Кроме того, Aviator игра предлагает разнообразие уровней сложности. Выберите легкий уровень, чтобы насладиться игровым процессом, или вызовите себе настоящий вызов, выбрав экспертный уровень. Независимо от выбранного уровня сложности, вы получите максимум удовольствия от игры и окунетесь в захватывающий мир авиаторов.
    Играйте в Aviator и наслаждайтесь разнообразием врагов и уровней, которые позволят вам почувствовать себя настоящим авиатором.

    0
  12. My spouse and I absolutely love your blog and find a lot of your post’s to be precisely what I’m looking for. Do you offer guest writers to write content available for you? I wouldn’t mind composing a post or elaborating on some of the subjects you write about here. Again, awesome web site!
    bcgame

    0
  13. Thank you for any other informative blog. Where else may just I get that type of information written in such a perfect means? I have a undertaking that I am just now working on, and I’ve been at the glance out for such information.
    casino club santa rosa online

    0
  14. Наша организация осуществляет услугу Прием Медного Кабеля Алматы с профессионализмом и вниманием к потребностям клиентов. Мы специализируемся на выкупе различных видов меди, включая медный лом, отходы, изделия и сплавы. Наш опытный персонал обеспечивает качественную оценку и честные цены за сданный материал.

    0
  15. Only wanna input on few general things, The website pattern is perfect, the subject matter is really wonderful. “The idea of God is the sole wrong for which I cannot forgive mankind.” by Marquis de Sade.

    0
  16. PBN sites
    We build a system of self-owned blog network sites!

    Pros of our PBN network:

    We perform everything so Google does not comprehend THAT THIS IS A privately-owned blog network!!!

    1- We buy web domains from different registrars

    2- The primary site is hosted on a VPS server (VPS is rapid hosting)

    3- Other sites are on separate hostings

    4- We allocate a individual Google account to each site with confirmation in Search Console.

    5- We create websites on WP, we don’t use plugins with assisted by which Trojans penetrate and through which pages on your websites are generated.

    6- We refrain from reiterate templates and employ only individual text and pictures

    We never work with website design; the client, if wanted, can then edit the websites to suit his wishes

    0

Leave a Comment

Your email address will not be published. Required fields are marked *