Binary Search Trees

Binary Search Trees
One of the tree applications in Chapter 10 is binary search trees.
In Chapter 10, binary search trees are used to implement bags and sets.
This presentation illustrates how another data type called a dictionary is implemented with binary search trees.
The Dictionary Data Type
A dictionary is a collection of items, similar to a bag.
But unlike a bag, each item has a string attached to it, called the item's key.
The Dictionary Data Type
A dictionary is a ....etc

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Sivaramaiah.B.V

M. Sc. (Engg.) in Computer Science and Networking
Module Leader: N.D.Gangadhar

Contents

Introduction to Trees
Succinct Trees
Representation of Trees
LOUDS Representation
Balanced Parentheses
DOUDS Representation

Introduction to Trees
Trees are the most fundamental objects which stores a large amount of data.
Standard representation of the binary trees on n nodes using pointers take O(n log n) bits of space.
The extra space 2n is needed in order to sup ....etc

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1. INTRODUCTION
Today, there is a general consensus that, in the near future, wide area networks
(WAN)(such as, a nation wide backbone network) will be based on Wavelength
Division Multiplexed (WDM) optical networks. One of the main advantages of a WDM
WAN over other optical technologies, such as, Time Division Multiplexed (TDM)
optical networks, is that it allows us to exploit the enormous bandwidth of an optical
fiber (up to 50 terabits bits per second) with requiring electronic devices, which operate
at extremely high speeds.
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DISTRIBUTED ALGORITHMS FOR CONSTRUCTING APPROXIMATE MINIMUM SPANNING TREES IN WIRELESS SENSOR NETWORKS --PARALLEL AND DISTRIBUTED SYSTEMS

While there are distributed algorithms for the minimum spanning tree (MST) problem, these algorithms require relatively large number of messages and time, and are fairly involved, making them impractical for resource-constrained networks such as wireless sensor networks. In such networks, a sensor has very limited power, and any algorithm needs to be simple, local, and energy efficient. Motivated by these ....etc

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